def setUp(self):
circumference = 110.4 # [m]
energy = 2.5e9 # [eV]
alpha = 0.0082
self.R_bend = 5.559 # bending radius [m]
# C_gamma = e**2 / (3*epsilon_0 * (m_e*c**2)**4) # [m J^3]
# C_gamma *= e**3 # [m eV^3]
harmonic_number = 184
voltage = 800e3 # eV
phi_offsets = 0
self.seed = 1234
self.intensity = 2.299e9
self.n_macroparticles = int(1e2)
self.sigma_dt = 10e-12 # RMS, [s]
self.ring = Ring(circumference, alpha, energy, Positron(),
synchronous_data_type='total energy', n_turns=1)
self.rf_station = RFStation(self.ring, harmonic_number, voltage,
phi_offsets, n_rf=1)
self.beam = Beam(self.ring, self.n_macroparticles, self.intensity)
bigaussian(self.ring, self.rf_station, self.beam,
self.sigma_dt, seed=self.seed)
def test_synchrotron_radiation_python_vs_C_double_kick(self):
atol = 0
rtol = 1e-7
iSR = SynchrotronRadiation(self.ring, self.rf_station, self.beam, self.R_bend,
n_kicks=2, shift_beam=False,
python=True, quantum_excitation=False, seed=self.seed)
iSR.track() # Python implementation
beam_C = Beam(self.ring, self.n_macroparticles, self.intensity)
bigaussian(self.ring, self.rf_station, beam_C,
self.sigma_dt, seed=self.seed)
iSR = SynchrotronRadiation(self.ring, self.rf_station, beam_C, self.R_bend,
n_kicks=2, shift_beam=False,
python=False, quantum_excitation=False, seed=self.seed)
iSR.track() # C implementation
np.testing.assert_allclose([np.mean(self.beam.dE)], [np.mean(beam_C.dE)],
atol=atol, rtol=rtol,
err_msg='Python anc C yield different avg beam.dE for two kicks')
np.testing.assert_allclose([np.std(self.beam.dE)], [np.std(beam_C.dE)],
atol=atol, rtol=rtol,
err_msg='Python anc C yield different std beam.dE for two kicks')
def setUp(self):
self.ring = Ring(self.C, self.alpha, np.linspace(
self.p_i, self.p_f, self.N_t + 1), Proton(), self.N_t)
self.beam = Beam(self.ring, self.N_p, self.N_b)
self.rf = RFStation(
self.ring, [self.h], self.V * np.linspace(1, 1.1, self.N_t+1), [self.dphi])
bigaussian(self.ring, self.rf, self.beam,
self.tau_0/4, reinsertion=True, seed=1)
self.profile = Profile(self.beam, CutOptions(n_slices=100, cut_left=0, cut_right=self.rf.t_rf[0, 0]),
FitOptions(fit_option='gaussian'))
self.long_tracker = RingAndRFTracker(
self.rf, self.beam, Profile=self.profile)
def test_4(self):
# Create a batch of 100 equal, short bunches
bunches = 100
T_s = 5 * self.rf.t_rev[0] / self.rf.harmonic[0, 0]
N_m = int(1e5)
N_b = 2.3e11
bigaussian(self.ring,
self.rf,
self.beam,
0.1e-9,
seed=1234,
reinsertion=True)
beam2 = Beam(self.ring, bunches * N_m, bunches * N_b)
bunch_spacing = 5 * self.rf.t_rf[0, 0]
buckets = 5 * bunches
for i in range(bunches):
beam2.dt[i * N_m:(i + 1) * N_m] = self.beam.dt + i * bunch_spacing
beam2.dE[i * N_m:(i + 1) * N_m] = self.beam.dE
profile2 = Profile(beam2,
CutOptions=CutOptions(cut_left=0,
cut_right=bunches *
bunch_spacing,
n_slices=1000 * buckets))
profile2.track()
tot_charges = np.sum(profile2.n_macroparticles)/\
beam2.n_macroparticles*beam2.intensity
self.assertAlmostEqual(tot_charges, 2.3000000000e+13, 9)
# Calculate fine- and coarse-grid RF current
rf_current_fine, rf_current_coarse = rf_beam_current(
profile2,
self.rf.omega_rf[0, 0],
self.ring.t_rev[0],
lpf=False,
downsample={
'Ts': T_s,
'points': self.rf.harmonic[0, 0] / 5
})
rf_current_coarse /= T_s
# Peak RF current on coarse grid
peak_rf_current = np.max(np.absolute(rf_current_coarse))
self.assertAlmostEqual(peak_rf_current, 2.9285808008, 7)
def setUp(self):
self.ring = Ring(self.C, self.alpha,
np.linspace(self.p_i, self.p_f, self.N_t + 1),
Proton(), self.N_t)
self.beam = Beam(self.ring, self.N_p, self.N_b)
self.rf = RFStation(self.ring, [self.h],
self.V * np.linspace(1, 1.1, self.N_t + 1),
[self.dphi])
bigaussian(self.ring,
self.rf,
self.beam,
self.tau_0 / 4,
reinsertion=True,
seed=1)
self.profile = Profile(
self.beam,
CutOptions(n_slices=100, cut_left=0, cut_right=self.rf.t_rf[0, 0]),
FitOptions(fit_option='gaussian'))
self.long_tracker = RingAndRFTracker(self.rf,
self.beam,
Profile=self.profile)
def setUp(self):
n_turns = 200
intensity_pb = 1.2e6 # protons per bunch
n_macroparticles = int(1e6) # macropartilces per bunch
sigma = 0.05e-9 # sigma for gaussian bunch [s]
self.time_offset = 0.1e-9 # time by which to offset the bunch
# Ring parameters SPS
C = 6911.5038 # Machine circumference [m]
sync_momentum = 25.92e9 # SPS momentum at injection [eV/c]
gamma_transition = 17.95142852 # Q20 Transition gamma
momentum_compaction = 1./gamma_transition**2 # Momentum compaction array
self.ring = Ring(C, momentum_compaction, sync_momentum, Proton(),
n_turns=n_turns)
# RF parameters SPS
harmonic = 4620 # Harmonic numbers
voltage = 4.5e6 # [V]
phi_offsets = 0
self.rf_station = RFStation(self.ring, harmonic, voltage, phi_offsets)
t_rf = self.rf_station.t_rf[0, 0]
# Beam setup
self.beam = Beam(self.ring, n_macroparticles, intensity_pb)
bigaussian(self.ring, self.rf_station, self.beam, sigma, seed=1234,
reinsertion=True)
# displace beam to see effect of phase error and phase loop
self.beam.dt += self.time_offset
# Profile setup
self.profile = Profile(self.beam, CutOptions=CutOptions(cut_left=0,
cut_right=t_rf,
n_slices=1024))
def setUp(self):
n_turns = 200
intensity_pb = 1.2e6 # protons per bunch
n_macroparticles = int(1e6) # macropartilces per bunch
sigma = 0.05e-9 # sigma for gaussian bunch [s]
self.time_offset = 0.1e-9 # time by which to offset the bunch
# Ring parameters SPS
C = 6911.5038 # Machine circumference [m]
sync_momentum = 25.92e9 # SPS momentum at injection [eV/c]
gamma_transition = 17.95142852 # Q20 Transition gamma
momentum_compaction = 1./gamma_transition**2 # Momentum compaction array
self.ring = Ring(C, momentum_compaction, sync_momentum, Proton(),
n_turns=n_turns)
# RF parameters SPS
harmonic = 4620 # Harmonic numbers
voltage = 4.5e6 # [V]
phi_offsets = 0
self.rf_station = RFStation(self.ring, harmonic, voltage, phi_offsets)
t_rf = self.rf_station.t_rf[0,0]
# Beam setup
self.beam = Beam(self.ring, n_macroparticles, intensity_pb)
bigaussian(self.ring, self.rf_station, self.beam, sigma, seed = 1234,
reinsertion = True)
### displace beam to see effect of phase error and phase loop
self.beam.dt += self.time_offset
# Profile setup
self.profile = Profile(self.beam, CutOptions = CutOptions(cut_left=0,
cut_right=t_rf,
n_slices=1024))
# Logger for messages on console & in file
Logger(debug=True)
# Set up machine parameters
ring = Ring(C, alpha, p_s, Particle=Proton(), n_turns=N_t)
logging.info("...... Machine parameters set!")
# Set up RF parameters
rf = RFStation(ring, h, V, phi, n_rf=1)
logging.info("RF frequency %.6e Hz", rf.omega_rf[0, 0] / (2 * np.pi))
logging.info("Revolution period %.6e s", rf.t_rev[0])
logging.info("...... RF parameters set!")
# Single bunch
bunch = Beam(ring, N_m, N_b)
bigaussian(ring, rf, bunch, 3.2e-9 / 4, seed=1234, reinsertion=True)
logging.info("Bunch spacing %.3e s", rf.t_rf[0, 0] * bunch_spacing)
# Create beam
beam = Beam(ring, n_bunches * N_m, n_bunches * N_b)
for i in range(n_bunches):
beam.dt[int(i *
N_m):int((i + 1) *
N_m)] = bunch.dt + i * rf.t_rf[0, 0] * bunch_spacing
beam.dE[int(i * N_m):int((i + 1) * N_m)] = bunch.dE
profile = Profile(beam,
CutOptions=CutOptions(cut_left=0.e-9,
cut_right=rf.t_rev[0],
n_slices=46200))
profile.track()
def test_2(self):
RF = RFStation(self.ring, 4620, 4.5e6, 0)
bigaussian(self.ring, RF, self.beam, 3.2e-9/4, seed = 1234,
reinsertion = True)
self.profile.track()
rf_current = rf_beam_current(self.profile, self.omega,
self.ring.t_rev[0], lpf=False)
Iref_real = np.array(
[0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
0.00000000e+00, 4.17276535e-13, 4.58438681e-13,
2.48023976e-13, 5.29812878e-13, 2.79735891e-13,
0.00000000e+00, 1.21117141e-12, 9.32525023e-13,
3.16481489e-13, 6.39337176e-13, 0.00000000e+00,
0.00000000e+00, 4.08671434e-12, 4.92294314e-12,
6.56965575e-12, 1.06279981e-11, 1.36819774e-11,
2.16648778e-11, 3.09847740e-11, 3.52971849e-11,
4.70378842e-11, 4.53538351e-11, 4.87255679e-11,
5.36705228e-11, 5.13609263e-11, 4.32833543e-11,
3.41417624e-11, 1.57452091e-11, -1.09005668e-11,
-4.60465929e-11, -9.12872553e-11, -1.48257171e-10,
-2.08540597e-10, -2.77630608e-10, -3.72157667e-10,
-4.56272786e-10, -5.57978710e-10, -6.46554672e-10,
-7.48006839e-10, -8.21493943e-10, -9.37522966e-10,
-1.03729659e-09, -1.06159943e-09, -1.08434837e-09,
-1.15738771e-09, -1.17887328e-09, -1.17146946e-09,
-1.10964397e-09, -1.10234198e-09, -1.08852433e-09,
-9.85866185e-10, -9.11727492e-10, -8.25604179e-10,
-7.34122902e-10, -6.47294094e-10, -5.30372699e-10,
-4.40357820e-10, -3.61273445e-10, -2.76871612e-10,
-2.02227691e-10, -1.45430219e-10, -8.88675652e-11,
-4.28984525e-11, -8.85451321e-12, 1.79026289e-11,
3.48384211e-11, 4.50190278e-11, 5.62413467e-11,
5.27322593e-11, 4.98163111e-11, 4.83288193e-11,
4.18200848e-11, 3.13334266e-11, 2.44082106e-11,
2.12572803e-11, 1.37397871e-11, 1.00879346e-11,
7.78502206e-12, 4.00790815e-12, 2.51830412e-12,
1.91301488e-12, 0.00000000e+00, 9.58518921e-13,
3.16123806e-13, 1.24116545e-12, 1.20821671e-12,
5.82952178e-13, 8.35917228e-13, 5.27285250e-13,
4.93205915e-13, 0.00000000e+00, 2.06937011e-13,
1.84618141e-13, 1.60868490e-13, 0.00000000e+00,
1.09822742e-13])
I_real = np.around(rf_current.real, 14) # round
Iref_real = np.around(Iref_real, 14)
self.assertSequenceEqual(I_real.tolist(), Iref_real.tolist(),
msg="In TestRFCurrent test_2, mismatch in real part of RF current")
Iref_imag = np.array([
0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
0.00000000e+00, -4.86410815e-13, -4.47827158e-13,
-2.02886432e-13, -3.60573852e-13, -1.56290206e-13,
0.00000000e+00, -4.19433613e-13, -2.33465744e-13,
-5.01823105e-14, -4.43075921e-14, 0.00000000e+00,
0.00000000e+00, 8.07144709e-13, 1.43192280e-12,
2.55659168e-12, 5.25480064e-12, 8.33669524e-12,
1.59729353e-11, 2.73609511e-11, 3.71844853e-11,
5.92134758e-11, 6.87376280e-11, 9.02226570e-11,
1.24465616e-10, 1.55478762e-10, 1.84035433e-10,
2.37241518e-10, 2.86677989e-10, 3.28265272e-10,
3.77882012e-10, 4.29727720e-10, 4.83759029e-10,
5.13978173e-10, 5.41841031e-10, 5.91537968e-10,
6.00658643e-10, 6.13928028e-10, 5.96367636e-10,
5.76920099e-10, 5.25297875e-10, 4.89104065e-10,
4.29776324e-10, 3.33901906e-10, 2.38690921e-10,
1.49673305e-10, 4.78223853e-11, -5.57081558e-11,
-1.51374774e-10, -2.50724894e-10, -3.50731761e-10,
-4.16547058e-10, -4.83765618e-10, -5.36075032e-10,
-5.74421794e-10, -6.05459147e-10, -5.91794283e-10,
-5.88179055e-10, -5.83222843e-10, -5.49774151e-10,
-5.08571646e-10, -4.86623358e-10, -4.33179012e-10,
-3.73737133e-10, -3.37622742e-10, -2.89119788e-10,
-2.30660798e-10, -1.85597518e-10, -1.66348322e-10,
-1.19981335e-10, -9.07232680e-11, -7.21467862e-11,
-5.18977454e-11, -3.25510912e-11, -2.12524272e-11,
-1.54447488e-11, -8.24107056e-12, -4.90052047e-12,
-2.96720377e-12, -1.13551262e-12, -4.79152734e-13,
-1.91861296e-13, 0.00000000e+00, 7.31481456e-14,
5.23883203e-14, 3.19951675e-13, 4.27870459e-13,
2.66236636e-13, 4.74712082e-13, 3.64260145e-13,
4.09222572e-13, 0.00000000e+00, 2.44654594e-13,
2.61906356e-13, 2.77128356e-13, 0.00000000e+00,
3.01027843e-13])
I_imag = np.around(rf_current.imag, 14) # round
Iref_imag = np.around(Iref_imag, 14)
self.assertSequenceEqual(I_imag.tolist(), Iref_imag.tolist(),
msg="In TestRFCurrent test_2, mismatch in imaginary part of"
+ " RF current")
# Plot settings
plt.rc('axes', labelsize=12, labelweight='normal')
plt.rc('lines', linewidth=1.5, markersize=6)
plt.rc('font', family='sans-serif')
plt.rc('legend', fontsize=12)
# Logger for messages on console & in file
Logger(debug=True)
ring = Ring(C, alpha, p_s, Particle=Proton(), n_turns=1)
rf = RFStation(ring, [h], [3.1e6],
[dphi]) # SPS-equivalent for 0.57 eVs, 1.65 ns
bunch = Beam(ring, N_m, N_p)
bigaussian(ring, rf, bunch, sigma_dt=1.65e-9 / 4) #tau_0)
# Real RF voltage
rf = RFStation(ring, [h], [V], [dphi])
beam = Beam(ring, N_m * NB, N_p * NB)
buckets = rf.t_rf[0, 0] * 10
for i in range(12):
beam.dt[i * N_m:(i + 1) * N_m] = bunch.dt[0:N_m] + i * buckets
beam.dE[i * N_m:(i + 1) * N_m] = bunch.dE[0:N_m]
for i in range(12, 60):
beam.dt[i * N_m:(i + 1) *
N_m] = bunch.dt[0:N_m] + i * buckets + 32 * buckets
beam.dE[i * N_m:(i + 1) * N_m] = bunch.dE[0:N_m]
for i in range(60, 108):
beam.dt[i * N_m:(i + 1) *
N_m] = bunch.dt[0:N_m] + i * buckets + 40 * buckets
# Simulation setup ------------------------------------------------------------
print("Setting up the simulation...")
print("")
# Define general parameters
ring = Ring(C, alpha, np.linspace(p_i, p_f, N_t + 1), Proton(), N_t)
# Define beam and distribution
beam = Beam(ring, N_p, N_b)
# Define RF station parameters and corresponding tracker
rf = RFStation(ring, [h], [V], [dphi])
long_tracker = RingAndRFTracker(rf, beam)
bigaussian(ring, rf, beam, tau_0 / 4, reinsertion=True, seed=1)
# Need slices for the Gaussian fit
# profile = Profile(beam, CutOptions(n_slices=N_p//1000),
# FitOptions(fit_option='gaussian'))
# Define what to save in file
# bunchmonitor = BunchMonitor(ring, rf, beam,
# this_directory + '../output_files/EX_01_output_data', Profile=profile)
# format_options = {'dirname': this_directory + '../output_files/EX_01_fig'}
# plots = Plot(ring, rf, beam, dt_plt, N_t, 0, 0.0001763*h,
# -400e6, 400e6, xunit='rad', separatrix_plot=True,
# Profile=profile, h5file=this_directory + '../output_files/EX_01_output_data',
# format_options=format_options)
end = time.time()
# DEFINE RING------------------------------------------------------------------
general_params = Ring(C, momentum_compaction, sync_momentum,
Proton(), n_turns)
RF_sct_par = RFStation(general_params, [harmonic_numbers],
[voltage_program], [phi_offset], n_rf_systems)
my_beam = Beam(general_params, n_macroparticles, n_particles)
ring_RF_section = RingAndRFTracker(RF_sct_par, my_beam)
# DEFINE BEAM------------------------------------------------------------------
bigaussian(general_params, RF_sct_par, my_beam, sigma_dt, seed=1)
# DEFINE SLICES----------------------------------------------------------------
slice_beam = Profile(my_beam, CutOptions(cut_left= -5.72984173562e-7,
cut_right=5.72984173562e-7, n_slices=100))
# MONITOR----------------------------------------------------------------------
bunchmonitor = BunchMonitor(general_params, RF_sct_par, my_beam,
this_directory + '../output_files/EX_02_output_data', buffer_time=1)
# LOAD IMPEDANCE TABLES--------------------------------------------------------
var = str(kin_beam_energy / 1e9)
# ejection kicker
phi_s_test = rf_params.phi_s #: *Synchronous phase
omega_RF_d_test = rf_params.omega_rf_d #: *Design RF frequency of the RF systems in the station [GHz]*
omega_RF_test = rf_params.omega_rf #: *Initial, actual RF frequency of the RF systems in the station [GHz]*
phi_RF_test = rf_params.omega_rf #: *Initial, actual RF phase of each harmonic system*
E_increment_test = rf_params.delta_E #Energy increment (acceleration/deceleration) between two turns,
long_tracker = RingAndRFTracker(rf_params, beam)
eta_0_test = rf_params.eta_0 #: *Slippage factor (0th order) for the given RF section*
eta_1_test = rf_params.eta_1 #: *Slippage factor (1st order) for the given RF section*
eta_2_test = rf_params.eta_2 #: *Slippage factor (2nd order) for the given RF section*
alpha_order_test = rf_params.alpha_order
bigaussian(general_params,
rf_params,
beam,
tau_0 / 4,
reinsertion='on',
seed=1)
# Need slices for the Gaussian fit
slice_beam = Profile(beam, CutOptions(n_slices=100))
# Define what to save in file
bunchmonitor = BunchMonitor(general_params,
rf_params,
beam,
this_directory +
'../output_files/EX_07_output_data',
Profile=slice_beam)
format_options = {'dirname': this_directory + '../output_files/EX_07_fig'}
rf = RFStation(ring, [h], [V[0:n_turns+1]], [0.])
mpiprint("RF parameters set...")
# Generate RF phase noise
LHCnoise = FlatSpectrum(ring, rf, fmin_s0=0.8571, fmax_s0=1.001,
initial_amplitude=1.e-5,
predistortion='weightfunction')
LHCnoise.dphi = np.load(
os.path.join(inputDir, 'LHCNoise_fmin0.8571_fmax1.001_ampl1e-5_weightfct_6.5TeV.npz'))['arr_0']
LHCnoise.dphi = np.ascontiguousarray(LHCnoise.dphi[0:n_turns+1])
mpiprint("RF phase noise loaded...")
# FULL BEAM
bunch = Beam(ring, n_particles, N_b)
beam = Beam(ring, n_particles*n_bunches, N_b)
bigaussian(ring, rf, bunch, 0.3e-9, reinsertion=True, seed=seed)
bunch_spacing_buckets = 10
for i in np.arange(n_bunches):
beam.dt[i*n_particles:(i+1) *
n_particles] = bunch.dt[0:n_particles] + i*rf.t_rf[0, 0]*10
beam.dE[i*n_particles:(i+1)*n_particles] = bunch.dE[0:n_particles]
# Profile required for PL
cutRange = (n_bunches-1)*25.e-9+3.5e-9
n_slices = np.int(cutRange/0.025e-9 + 1)
n_slices = next_regular(n_slices)
profile = Profile(beam, CutOptions(n_slices=n_slices, cut_left=-0.5e-9,
cut_right=(cutRange-0.5e-9)))
mpiprint("Beam generated, profile set...")
if LOGGING == True:
Logger(debug = True)
else:
Logger().disable()
# Set up machine parameters
ring = Ring(C, alpha, p_s, Particle=Proton(), n_turns=N_t)
logging.info("...... Machine parameters set!")
# Set up RF parameters
rf = RFStation(ring, h, V, phi, n_rf=1)
logging.info("...... RF parameters set!")
# Define beam and fill it
beam = Beam(ring, N_m, N_b)
bigaussian(ring, rf, beam, 3.2e-9/4, seed = 1234, reinsertion = True)
logging.info("...... Beam set!")
logging.info("Number of particles %d" %len(beam.dt))
logging.info("Time coordinates are in range %.4e to %.4e s" %(np.min(beam.dt),
np.max(beam.dt)))
profile = Profile(beam, CutOptions=CutOptions(cut_left=-1.e-9,
cut_right=6.e-9, n_slices=100))
profile.track()
if RF_CURRENT == True:
# RF current calculation for Gaussian profile
rf_current = rf_beam_current(profile, 2*np.pi*f_rf, ring.t_rev[0],
lpf=False)
rf_current_filt = rf_beam_current(profile, 2*np.pi*f_rf, ring.t_rev[0],
print("")
# Define general parameters
ring = Ring(C, alpha, np.linspace(p_i, p_f, 2001), Proton(), N_t)
# Define beam and distribution
beam = Beam(ring, N_p, N_b)
# Define RF station parameters and corresponding tracker
rf = RFStation(ring, [h], [V], [dphi])
long_tracker = RingAndRFTracker(rf, beam)
bigaussian(ring, rf, beam, tau_0/4, reinsertion = True, seed=1)
# Need slices for the Gaussian fit
profile = Profile(beam, CutOptions(n_slices=100),
FitOptions(fit_option='gaussian'))
# Define what to save in file
bunchmonitor = BunchMonitor(ring, rf, beam,
this_directory + '../output_files/EX_01_output_data', Profile=profile)
format_options = {'dirname': this_directory + '../output_files/EX_01_fig'}
plots = Plot(ring, rf, beam, dt_plt, N_t, 0, 0.0001763*h,
-400e6, 400e6, xunit='rad', separatrix_plot=True,
Profile=profile, h5file=this_directory + '../output_files/EX_01_output_data',
format_options=format_options)
def test_beam_fine_coarse(self):
# Test beam impulse response and induced voltage
# Compare on coarse and fine grid
# Create a batch of 100 equal, short bunches at HL-LHC intensity
ring = Ring(2*np.pi*1100.009, 1/18**2, 25.92e9, Particle=Proton())
rf = RFStation(ring, [4620], [4.5e6], [0], n_rf=1)
bunches = 100
N_m = int(1e5)
N_b = 2.3e11
beam = Beam(ring, N_m, N_b)
bigaussian(ring, rf, beam, 1.8e-9/4, seed=1234, reinsertion=True)
beam2 = Beam(ring, bunches*N_m, bunches*N_b)
bunch_spacing = 5 * rf.t_rf[0, 0]
buckets = 5 * bunches
for i in range(bunches):
beam2.dt[i * N_m:(i + 1) * N_m] = beam.dt + i * bunch_spacing
beam2.dE[i * N_m:(i + 1) * N_m] = beam.dE
profile2 = Profile(beam2, CutOptions=CutOptions(cut_left=0,
cut_right=bunches*bunch_spacing,n_slices=1000*buckets))
profile2.track()
# Calculate impulse response and induced voltage
OTFB = SPSOneTurnFeedback(rf, beam2, profile2, 3, n_cavities=1,
Commissioning=CavityFeedbackCommissioning(open_FF=True))
OTFB.TWC.impulse_response_beam(OTFB.omega_c, OTFB.profile.bin_centers,
OTFB.rf_centers)
OTFB.beam_induced_voltage(lpf=False)
imp_fine_meas = (OTFB.TWC.h_beam[::1000])[:100]
imp_coarse_meas = OTFB.TWC.h_beam_coarse[:100]
imp_fine_ref = np.array([1.0504062083e+12+0.0000000000e+00j,
2.0781004955e+12+2.7183115978e+09j,
2.0553850965e+12+5.3772054987e+09j,
2.0326663360e+12+7.9766773057e+09j,
2.0099443306e+12+1.0516722825e+10j,
1.9872191969e+12+1.2997338066e+10j,
1.9644910516e+12+1.5418519242e+10j,
1.9417600113e+12+1.7780262770e+10j,
1.9190261924e+12+2.0082565269e+10j,
1.8962897118e+12+2.2325423561e+10j,
1.8735506859e+12+2.4508834674e+10j,
1.8508092314e+12+2.6632795838e+10j,
1.8280654649e+12+2.8697304485e+10j,
1.8053195030e+12+3.0702358252e+10j,
1.7825714624e+12+3.2647954978e+10j,
1.7598214597e+12+3.4534092708e+10j,
1.7370696115e+12+3.6360769688e+10j,
1.7143160345e+12+3.8127984368e+10j,
1.6915608452e+12+3.9835735402e+10j,
1.6688041604e+12+4.1484021645e+10j,
1.6460460966e+12+4.3072842159e+10j,
1.6232867705e+12+4.4602196207e+10j,
1.6005262987e+12+4.6072083256e+10j,
1.5777647978e+12+4.7482502976e+10j,
1.5550023845e+12+4.8833455241e+10j,
1.5322391754e+12+5.0124940128e+10j,
1.5094752871e+12+5.1356957918e+10j,
1.4867108362e+12+5.2529509093e+10j,
1.4639459395e+12+5.3642594342e+10j,
1.4411807134e+12+5.4696214555e+10j,
1.4184152746e+12+5.5690370826e+10j,
1.3956497397e+12+5.6625064451e+10j,
1.3728842254e+12+5.7500296932e+10j,
1.3501188481e+12+5.8316069972e+10j,
1.3273537246e+12+5.9072385477e+10j,
1.3045889714e+12+5.9769245560e+10j,
1.2818247051e+12+6.0406652532e+10j,
1.2590610424e+12+6.0984608912e+10j,
1.2362980996e+12+6.1503117419e+10j,
1.2135359936e+12+6.1962180977e+10j,
1.1907748407e+12+6.2361802713e+10j,
1.1680147576e+12+6.2701985956e+10j,
1.1452558608e+12+6.2982734240e+10j,
1.1224982669e+12+6.3204051301e+10j,
1.0997420924e+12+6.3365941080e+10j,
1.0769874538e+12+6.3468407718e+10j,
1.0542344676e+12+6.3511455561e+10j,
1.0314832504e+12+6.3495089159e+10j,
1.0087339187e+12+6.3419313265e+10j,
9.8598658892e+11+6.3284132832e+10j,
9.6324137757e+11+6.3089553021e+10j,
9.4049840113e+11+6.2835579191e+10j,
9.1775777605e+11+6.2522216909e+10j,
8.9501961879e+11+6.2149471941e+10j,
8.7228404579e+11+6.1717350259e+10j,
8.4955117347e+11+6.1225858036e+10j,
8.2682111826e+11+6.0675001648e+10j,
8.0409399656e+11+6.0064787676e+10j,
7.8136992476e+11+5.9395222903e+10j,
7.5864901923e+11+5.8666314312e+10j,
7.3593139635e+11+5.7878069094e+10j,
7.1321717247e+11+5.7030494640e+10j,
6.9050646392e+11+5.6123598543e+10j,
6.6779938704e+11+5.5157388601e+10j,
6.4509605813e+11+5.4131872814e+10j,
6.2239659348e+11+5.3047059384e+10j,
5.9970110939e+11+5.1902956716e+10j,
5.7700972210e+11+5.0699573420e+10j,
5.5432254788e+11+4.9436918305e+10j,
5.3163970295e+11+4.8115000386e+10j,
5.0896130353e+11+4.6733828878e+10j,
4.8628746583e+11+4.5293413201e+10j,
4.6361830601e+11+4.3793762975e+10j,
4.4095394026e+11+4.2234888026e+10j,
4.1829448472e+11+4.0616798379e+10j,
3.9564005551e+11+3.8939504264e+10j,
3.7299076875e+11+3.7203016111e+10j,
3.5034674052e+11+3.5407344556e+10j,
3.2770808692e+11+3.3552500435e+10j,
3.0507492397e+11+3.1638494786e+10j,
2.8244736773e+11+2.9665338851e+10j,
2.5982553421e+11+2.7633044074e+10j,
2.3720953939e+11+2.5541622099e+10j,
2.1459949925e+11+2.3391084776e+10j,
1.9199552975e+11+2.1181444154e+10j,
1.6939774681e+11+1.8912712486e+10j,
1.4680626634e+11+1.6584902227e+10j,
1.2422120423e+11+1.4198026033e+10j,
1.0164267634e+11+1.1752096764e+10j,
7.9070798521e+10+9.2471274799e+09j,
5.6505686581e+10+6.6831314440e+09j,
3.3947456317e+10+4.0601221211e+09j,
1.1396223503e+10+1.3781131781e+09j,
0.0000000000e+00+0.0000000000e+00j,
0.0000000000e+00+0.0000000000e+00j,
0.0000000000e+00+0.0000000000e+00j,
0.0000000000e+00+0.0000000000e+00j,
0.0000000000e+00+0.0000000000e+00j,
0.0000000000e+00+0.0000000000e+00j,
0.0000000000e+00+0.0000000000e+00j])
imp_coarse_ref = np.array([1.0504062083e+12+0.0000000000e+00j,
2.0781004955e+12+2.7183115978e+09j,
2.0553850965e+12+5.3772054987e+09j,
2.0326663360e+12+7.9766773057e+09j,
2.0099443306e+12+1.0516722825e+10j,
1.9872191969e+12+1.2997338066e+10j,
1.9644910516e+12+1.5418519242e+10j,
1.9417600113e+12+1.7780262770e+10j,
1.9190261924e+12+2.0082565269e+10j,
1.8962897118e+12+2.2325423561e+10j,
1.8735506859e+12+2.4508834674e+10j,
1.8508092314e+12+2.6632795838e+10j,
1.8280654649e+12+2.8697304485e+10j,
1.8053195030e+12+3.0702358252e+10j,
1.7825714624e+12+3.2647954978e+10j,
1.7598214597e+12+3.4534092708e+10j,
1.7370696115e+12+3.6360769688e+10j,
1.7143160345e+12+3.8127984368e+10j,
1.6915608452e+12+3.9835735402e+10j,
1.6688041604e+12+4.1484021645e+10j,
1.6460460966e+12+4.3072842159e+10j,
1.6232867705e+12+4.4602196207e+10j,
1.6005262987e+12+4.6072083256e+10j,
1.5777647978e+12+4.7482502976e+10j,
1.5550023845e+12+4.8833455241e+10j,
1.5322391754e+12+5.0124940128e+10j,
1.5094752871e+12+5.1356957918e+10j,
1.4867108362e+12+5.2529509093e+10j,
1.4639459395e+12+5.3642594342e+10j,
1.4411807134e+12+5.4696214555e+10j,
1.4184152746e+12+5.5690370826e+10j,
1.3956497397e+12+5.6625064451e+10j,
1.3728842254e+12+5.7500296932e+10j,
1.3501188481e+12+5.8316069972e+10j,
1.3273537246e+12+5.9072385477e+10j,
1.3045889714e+12+5.9769245560e+10j,
1.2818247051e+12+6.0406652532e+10j,
1.2590610424e+12+6.0984608912e+10j,
1.2362980996e+12+6.1503117419e+10j,
1.2135359936e+12+6.1962180977e+10j,
1.1907748407e+12+6.2361802713e+10j,
1.1680147576e+12+6.2701985956e+10j,
1.1452558608e+12+6.2982734240e+10j,
1.1224982669e+12+6.3204051301e+10j,
1.0997420924e+12+6.3365941080e+10j,
1.0769874538e+12+6.3468407718e+10j,
1.0542344676e+12+6.3511455561e+10j,
1.0314832504e+12+6.3495089159e+10j,
1.0087339187e+12+6.3419313265e+10j,
9.8598658892e+11+6.3284132832e+10j,
9.6324137757e+11+6.3089553021e+10j,
9.4049840113e+11+6.2835579191e+10j,
9.1775777605e+11+6.2522216909e+10j,
8.9501961879e+11+6.2149471941e+10j,
8.7228404579e+11+6.1717350259e+10j,
8.4955117347e+11+6.1225858036e+10j,
8.2682111826e+11+6.0675001648e+10j,
8.0409399656e+11+6.0064787676e+10j,
7.8136992476e+11+5.9395222903e+10j,
7.5864901923e+11+5.8666314312e+10j,
7.3593139635e+11+5.7878069094e+10j,
7.1321717247e+11+5.7030494640e+10j,
6.9050646392e+11+5.6123598543e+10j,
6.6779938704e+11+5.5157388601e+10j,
6.4509605813e+11+5.4131872814e+10j,
6.2239659348e+11+5.3047059384e+10j,
5.9970110939e+11+5.1902956716e+10j,
5.7700972210e+11+5.0699573420e+10j,
5.5432254788e+11+4.9436918305e+10j,
5.3163970295e+11+4.8115000386e+10j,
5.0896130353e+11+4.6733828878e+10j,
4.8628746583e+11+4.5293413201e+10j,
4.6361830601e+11+4.3793762975e+10j,
4.4095394026e+11+4.2234888026e+10j,
4.1829448472e+11+4.0616798379e+10j,
3.9564005551e+11+3.8939504264e+10j,
3.7299076875e+11+3.7203016111e+10j,
3.5034674052e+11+3.5407344556e+10j,
3.2770808692e+11+3.3552500435e+10j,
3.0507492397e+11+3.1638494786e+10j,
2.8244736773e+11+2.9665338851e+10j,
2.5982553421e+11+2.7633044074e+10j,
2.3720953939e+11+2.5541622099e+10j,
2.1459949925e+11+2.3391084776e+10j,
1.9199552975e+11+2.1181444154e+10j,
1.6939774681e+11+1.8912712486e+10j,
1.4680626634e+11+1.6584902227e+10j,
1.2422120423e+11+1.4198026033e+10j,
1.0164267634e+11+1.1752096764e+10j,
7.9070798521e+10+9.2471274799e+09j,
5.6505686581e+10+6.6831314440e+09j,
3.3947456317e+10+4.0601221211e+09j,
1.1396223503e+10+1.3781131781e+09j,
0.0000000000e+00+0.0000000000e+00j,
0.0000000000e+00+0.0000000000e+00j,
0.0000000000e+00+0.0000000000e+00j,
0.0000000000e+00+0.0000000000e+00j,
0.0000000000e+00+0.0000000000e+00j,
0.0000000000e+00+0.0000000000e+00j,
0.0000000000e+00+0.0000000000e+00j])
np.testing.assert_allclose(imp_fine_meas[:-7], imp_fine_ref[:-7], rtol=1e-8,
atol=0, err_msg="In TestTravelingWaveCavity test_beam_fine_coarse,"
"mismatch in beam impulse response on fine grid")
np.testing.assert_allclose(imp_coarse_meas[:-7], imp_coarse_ref[:-7], rtol=1e-8,
atol=0, err_msg="In TestTravelingWaveCavity test_beam_fine_coarse,"
"mismatch in beam impulse response on coarse grid")
Vind_fine_meas = (OTFB.V_fine_ind_beam[::1000])[:100]
Vind_coarse_meas = OTFB.V_coarse_ind_beam[:100]
Vind_fine_ref = np.array([-3.0517578125e-11+2.0599365234e-10j,
1.3119591242e+05+2.5059688582e+02j,
1.2976951147e+05+4.1841300342e+02j,
1.2834289840e+05+5.8249788025e+02j,
1.2691608056e+05+7.4285125172e+02j,
1.2548906524e+05+8.9947286604e+02j,
2.5525777220e+05+1.3029593700e+03j,
2.5240398296e+05+1.6199328833e+03j,
2.4954980612e+05+1.9294427198e+03j,
2.4669525631e+05+2.2314884143e+03j,
2.4384034818e+05+2.5260695271e+03j,
3.7218100878e+05+3.0637825296e+03j,
3.6789902698e+05+3.5112493792e+03j,
3.6361651869e+05+3.9475192402e+03j,
3.5933350586e+05+4.3725915103e+03j,
3.5505001047e+05+4.7864656258e+03j,
4.8196196690e+05+5.4397379469e+03j,
4.7625117134e+05+5.9990303323e+03j,
4.7053974700e+05+6.5433918605e+03j,
4.6482772318e+05+7.0728218563e+03j,
4.5911512918e+05+7.5873196955e+03j,
5.8459790670e+05+8.3374816909e+03j,
5.7745785924e+05+8.9899296666e+03j,
5.7031711736e+05+9.6237126791e+03j,
5.6317571767e+05+1.0238830044e+04j,
5.5603369679e+05+1.0835281141e+04j,
6.8008700374e+05+1.1663662299e+04j,
6.7151744935e+05+1.2390595370e+04j,
6.6294717151e+05+1.3095129455e+04j,
6.5437621413e+05+1.3777263922e+04j,
6.4580462118e+05+1.4436998220e+04j,
7.6842834898e+05+1.5324928756e+04j,
7.5842921570e+05+1.6107677477e+04j,
7.4842936654e+05+1.6864293588e+04j,
7.3842885274e+05+1.7594776578e+04j,
7.2842772557e+05+1.8299126023e+04j,
8.4962194870e+05+1.9227938478e+04j,
8.3819334760e+05+2.0047836046e+04j,
8.2676407480e+05+2.0837868101e+04j,
8.1533418885e+05+2.1598034313e+04j,
8.0390374836e+05+2.2328334456e+04j,
9.2366872430e+05+2.3279365291e+04j,
9.1081094946e+05+2.4117749141e+04j,
8.9795258369e+05+2.4922535614e+04j,
8.8509369287e+05+2.5693724627e+04j,
8.7223434290e+05+2.6431316212e+04j,
9.9057051210e+05+2.7385907402e+04j,
9.7628404055e+05+2.8224120805e+04j,
9.6199709542e+05+2.9025006325e+04j,
9.4770974992e+05+2.9788564189e+04j,
9.3342207725e+05+3.0514794752e+04j,
1.0503300630e+06+3.1454295383e+04j,
1.0346155547e+06+3.2273689037e+04j,
1.0189007267e+06+3.3052025980e+04j,
1.0031856595e+06+3.3789306812e+04j,
9.8747043377e+05+3.4485532275e+04j,
1.1029510423e+06+3.5391300137e+04j,
1.0858093399e+06+3.6173233764e+04j,
1.0686675083e+06+3.6910383847e+04j,
1.0515256353e+06+3.7602751424e+04j,
1.0343838088e+06+3.8250337687e+04j,
1.1484380290e+06+3.9103740866e+04j,
1.1298701579e+06+3.9829584804e+04j,
1.1113023846e+06+4.0506920680e+04j,
1.0927348043e+06+4.1135750033e+04j,
1.0741675120e+06+4.1716074567e+04j,
1.1867965154e+06+4.2498493041e+04j,
1.1668036837e+06+4.3149629836e+04j,
1.1468112133e+06+4.3748536684e+04j,
1.1268192067e+06+4.4295215687e+04j,
1.1068277662e+06+4.4789669129e+04j,
1.2180329068e+06+4.5482496357e+04j,
1.1966165050e+06+4.6040322356e+04j,
1.1752007645e+06+4.6542199472e+04j,
1.1537857950e+06+4.6988130437e+04j,
1.1323717063e+06+4.7378118176e+04j,
1.2421545205e+06+4.7962762689e+04j,
1.2193161215e+06+4.8408689628e+04j,
1.1964787202e+06+4.8794952019e+04j,
1.1736424337e+06+4.9121553285e+04j,
1.1508073790e+06+4.9388497055e+04j,
1.2591695854e+06+4.9846384046e+04j,
1.2349109442e+06+5.0161840642e+04j,
1.2106536737e+06+5.0413920610e+04j,
1.1863978981e+06+5.0602628129e+04j,
1.1621437417e+06+5.0727967597e+04j,
1.2690872411e+06+5.1040540511e+04j,
1.2434102950e+06+5.1206974048e+04j,
1.2177351287e+06+5.1306322781e+04j,
1.1920618739e+06+5.1338591709e+04j,
1.1663906621e+06+5.1303786060e+04j,
1.2719175372e+06+5.1452508178e+04j,
1.2448244051e+06+5.1451386094e+04j,
1.2177768552e+06+5.1349872757e+04j,
1.1920618739e+06+5.1338591709e+04j,
1.1663906621e+06+5.1303786060e+04j,
1.2719175372e+06+5.1452508178e+04j,
1.2448244051e+06+5.1451386094e+04j,
1.2177768552e+06+5.1349872757e+04j,
1.1920618739e+06+5.1338591709e+04j])
Vind_coarse_ref = np.array([65950.402941899 +4.6204946754e+01j,
130474.7043137922+2.6208172207e+02j,
129048.3869868867+4.2802282083e+02j,
127621.8612230706+5.9023291883e+02j,
126195.13434267 +7.4871175790e+02j,
190718.6166082232+9.4966403938e+02j,
253815.81082876 +1.3165564125e+03j,
250962.2071966935+1.6297811521e+03j,
248108.2232953706+1.9355427270e+03j,
245253.8737668068+2.2338406848e+03j,
308349.5761954412+2.5708795450e+03j,
370018.8407123919+3.0701257882e+03j,
365737.1648323309+3.5119715333e+03j,
361454.9734610094+3.9426211057e+03j,
357172.2885629754+4.3620739225e+03j,
418839.5350453047+4.8165343856e+03j,
479080.2303618401+5.4294688706e+03j,
473369.8793500392+5.9812694041e+03j,
467658.9142384843+6.5181402322e+03j,
461947.3643145755+7.0400807053e+03j,
522185.6618082431+7.5932951716e+03j,
580997.3314961634+8.3012499653e+03j,
573857.8855385883+8.9443370849e+03j,
566717.7634868335+9.5687607609e+03j,
559577.0019509497+1.0174520341e+04j,
618386.0404834162+1.0807820183e+04j,
675768.4111833326+1.1592126644e+04j,
667199.6335332314+1.2307831758e+04j,
658630.1544065415+1.3001139804e+04j,
650060.0177352416+1.3672050190e+04j,
707439.6703935305+1.4366767349e+04j,
763392.6518020012+1.5208757723e+04j,
753394.4887644283+1.5978413447e+04j,
743395.635475215 +1.6721938911e+04j,
733396.1431870223+1.7439333649e+04j,
789346.4660944196+1.8176802229e+04j,
843870.1509380381+1.9057811247e+04j,
832442.7318413376+1.9862752998e+04j,
821014.6703180319+2.0637832050e+04j,
809586.0249396971+2.1383048124e+04j,
864107.2572194036+2.2144605992e+04j,
917201.9212158447+2.3045972461e+04j,
904345.5583700862+2.3867540055e+04j,
891488.6375129672+2.4655513581e+04j,
878631.2245326925+2.5409893014e+04j,
931723.7882584379+2.6176883388e+04j,
983389.8900644641+2.7079951792e+04j,
969105.0787068398+2.7899491038e+04j,
954819.8303308268+2.8681706237e+04j,
940534.2181384464+2.9426597680e+04j,
992198.7182720678+3.0180370731e+04j,
1042436.8994184991+3.1066492820e+04j,
1026724.3176456908+3.1865357114e+04j,
1011011.4564100985+3.2623169090e+04j,
995298.3962242305+3.3339929421e+04j,
1045535.6205402148+3.4061843863e+04j,
1094346.7053538668+3.4912380250e+04j,
1077207.2140413758+3.5671932169e+04j,
1060067.6373666434+3.6386705528e+04j,
1042928.0631488134+3.7056701442e+04j,
1091738.982145815 +3.7728126125e+04j,
1139123.977658412 +3.8524447879e+04j,
1120558.6203668672+3.9226060775e+04j,
1101993.4083382622+3.9879171214e+04j,
1083428.4366940013+4.0483780818e+04j,
1130814.2034933397+4.1086096322e+04j,
1176774.2993374085+4.1809586562e+04j,
1156784.3022058595+4.2434646152e+04j,
1136794.717464163 +4.3007482052e+04j,
1116805.6475310936+4.3528096457e+04j,
1162767.5977622345+4.4042696684e+04j,
1207304.1660539836+4.4674752165e+04j,
1185890.9376801767+4.5204658125e+04j,
1164478.425299364 +4.5678622145e+04j,
1143066.738622277 +4.6096647054e+04j,
1187606.39029531 +4.6504940818e+04j,
1230720.9855045064+4.7026973527e+04j,
1207886.116812161 +4.7443141080e+04j,
1185052.3041640767+4.7799651744e+04j,
1162219.6645570078+4.8096509044e+04j,
1205338.7179221238+4.8379921659e+04j,
1247033.0767289733+4.8773360403e+04j,
1222778.3408220657+4.9057221909e+04j,
1198525.0374281076+4.9277715194e+04j,
1174273.2908234247+4.9434844546e+04j,
1215973.628217406 +4.9574819417e+04j,
1256249.6693564458+4.9821111408e+04j,
1230577.0213605044+4.9954117952e+04j,
1204906.2187303253+5.0020048879e+04j,
1179237.3930148352+5.0018909302e+04j,
1219521.0786945666+4.9996909510e+04j,
1258380.9027855818+5.0077521955e+04j,
1231292.4796760113+5.0041144933e+04j,
1204906.2187303249+5.0020048879e+04j,
1179237.3930148345+5.0018909302e+04j,
1219521.0786945664+4.9996909510e+04j,
1258380.9027855818+5.0077521955e+04j,
1231292.4796760113+5.0041144933e+04j,
1204906.2187303246+5.0020048879e+04j,
1179237.3930148345+5.0018909302e+04j])
np.testing.assert_allclose(Vind_fine_meas, Vind_fine_ref, rtol=1e-8,
atol=1e-9, err_msg="In TestTravelingWaveCavity test_beam_fine_coarse,"
"mismatch in beam-induced voltage on fine grid")
np.testing.assert_allclose(Vind_coarse_meas, Vind_coarse_ref, rtol=1e-8,
atol=0, err_msg="In TestTravelingWaveCavity test_beam_fine_coarse,"
"mismatch in beam-induced voltage on coarse grid")
# Plot settings
plt.rc('axes', labelsize=12, labelweight='normal')
plt.rc('lines', linewidth=1.5, markersize=6)
plt.rc('font', family='sans-serif')
plt.rc('legend', fontsize=12)
# Logger for messages on console & in file
Logger(debug=True)
ring = Ring(C, alpha, p_s, Particle=Proton(), n_turns=1)
rf = RFStation(ring, [h], [3.1e6],
[dphi]) # SPS-equivalent for 0.57 eVs, 1.65 ns
bunch = Beam(ring, N_m, N_p)
bigaussian(ring, rf, bunch, sigma_dt=tau_0)
# Real RF voltage
rf = RFStation(ring, [h], [V], [dphi])
beam = Beam(ring, N_m * NB, N_p * NB)
buckets = rf.t_rf[0, 0] * 10
for i in range(0, 144):
beam.dt[i * N_m:(i + 1) *
N_m] = bunch.dt[0:N_m] + i * buckets + 200 * buckets
beam.dE[i * N_m:(i + 1) * N_m] = bunch.dE[0:N_m]
#for i in range(0,48):
# beam.dt[i*N_m:(i+1)*N_m] = bunch.dt[0:N_m] + i*buckets + 200*buckets
# beam.dE[i*N_m:(i+1)*N_m] = bunch.dE[0:N_m]
#for i in range(48,96):
# beam.dt[i*N_m:(i+1)*N_m] = bunch.dt[0:N_m] + i*buckets + 208*buckets
# beam.dE[i*N_m:(i+1)*N_m] = bunch.dE[0:N_m]
n_rf=n_rf_systems)
# Beam
single_bunch = Beam(ring, n_macroparticles_per_bunch, intensity)
beam = Beam(ring, n_macroparticles, intensity * n_bunches)
# Profile
cut_opt = CutOptions(cut_left=cut_left,
cut_right=cut_right,
n_slices=n_slices,
RFSectionParameters=rf_params)
profile = Profile(beam, CutOptions=cut_opt)
# DEFINE BEAM------------------------------------------------------------------
bigaussian(ring, rf_params, single_bunch, bunch_length / 4, seed=1)
for i in range(n_bunches):
beam.dt[int(i * n_macroparticles_per_bunch):int((i + 1) * n_macroparticles_per_bunch)] \
= np.copy(single_bunch.dt[:]) + i*bunch_spacing*rf_params.t_rf[0,0]
beam.dE[int(i * n_macroparticles_per_bunch):int(
(i + 1) * n_macroparticles_per_bunch)] = np.copy(single_bunch.dE[:])
beam.id = np.arange(n_macroparticles)
# Impedance model
R_shunt = 1e6
f_res = 915e6
Q_factor = 5000
resonator = Resonators(R_shunt, f_res, Q_factor)
print(" Sigma of RF noise is %.4e" %np.std(RFnoise.dphi))
print(" Time step of RF noise is %.4e" %RFnoise.t[1])
print("")
beam = Beam(general_params, N_p, N_b)
long_tracker = RingAndRFTracker(rf_params, beam)
print("General and RF parameters set...")
# Define beam and distribution
# Generate new distribution
bigaussian(general_params, rf_params, beam, tau_0/4,
reinsertion = True, seed=1)
print("Beam set and distribution generated...")
# Need slices for the Gaussian fit; slice for the first plot
slice_beam = Profile(beam, CutOptions(n_slices=100),
FitOptions(fit_option='gaussian'))
slice_beam.track()
# Define what to save in file
bunchmonitor = BunchMonitor(general_params, rf_params, beam, this_directory + '../output_files/EX_03_output_data', Profile=slice_beam)
# PLOTS
def test_3(self):
# Set up SPS conditions
ring = Ring(2*np.pi*1100.009, 1/18**2, 25.92e9, Proton(), 1000)
RF = RFStation(ring, 4620, 4.5e6, 0)
beam = Beam(ring, 1e5, 1e11)
bigaussian(ring, RF, beam, 3.2e-9/4, seed = 1234, reinsertion = True)
profile = Profile(beam, CutOptions(cut_left=-1.e-9, cut_right=6.e-9,
n_slices=100))
profile.track()
self.assertEqual(len(beam.dt), np.sum(profile.n_macroparticles), "In" +
" TestBeamCurrent: particle number mismatch in Beam vs Profile")
# RF current calculation with low-pass filter
rf_current = rf_beam_current(profile, 2*np.pi*200.222e6, ring.t_rev[0])
Iref_real = np.array([ -9.4646042539e-12, -7.9596801534e-10,
-2.6993572787e-10,
2.3790828610e-09, 6.4007063190e-09, 9.5444302650e-09,
9.6957462918e-09, 6.9944771120e-09, 5.0040512366e-09,
8.2427583408e-09, 1.6487066238e-08, 2.2178930587e-08,
1.6497620890e-08, 1.9878201568e-09, -2.4862807497e-09,
2.0862096916e-08, 6.6115473293e-08, 1.1218114710e-07,
1.5428441607e-07, 2.1264254596e-07, 3.1213935713e-07,
4.6339212948e-07, 6.5039440158e-07, 8.2602190806e-07,
9.4532001396e-07, 1.0161170159e-06, 1.0795840334e-06,
1.1306004256e-06, 1.1081141333e-06, 9.7040873320e-07,
7.1863437325e-07, 3.3833950889e-07, -2.2273124358e-07,
-1.0035204008e-06, -1.9962696992e-06, -3.1751183137e-06,
-4.5326227784e-06, -6.0940850385e-06, -7.9138578879e-06,
-9.9867317826e-06, -1.2114906338e-05, -1.4055138779e-05,
-1.5925650405e-05, -1.8096693885e-05, -2.0418813156e-05,
-2.2142865862e-05, -2.3038234657e-05, -2.3822481250e-05,
-2.4891969829e-05, -2.5543384520e-05, -2.5196086909e-05,
-2.4415522211e-05, -2.3869116251e-05, -2.3182951665e-05,
-2.1723128723e-05, -1.9724625363e-05, -1.7805112266e-05,
-1.5981218737e-05, -1.3906226012e-05, -1.1635865568e-05,
-9.5381189596e-06, -7.7236624815e-06, -6.0416822483e-06,
-4.4575806261e-06, -3.0779237834e-06, -1.9274519396e-06,
-9.5699993457e-07, -1.7840768971e-07, 3.7780452612e-07,
7.5625231388e-07, 1.0158886027e-06, 1.1538975409e-06,
1.1677937652e-06, 1.1105424636e-06, 1.0216131672e-06,
8.8605026541e-07, 7.0783694846e-07, 5.4147914020e-07,
4.1956457226e-07, 3.2130062098e-07, 2.2762751268e-07,
1.4923020411e-07, 9.5683463322e-08, 5.8942895620e-08,
3.0515695233e-08, 1.2444834300e-08, 8.9413517889e-09,
1.6154761941e-08, 2.3261993674e-08, 2.3057968490e-08,
1.8354179928e-08, 1.4938991667e-08, 1.2506841004e-08,
8.1230022648e-09, 3.7428821201e-09, 2.8368110506e-09,
3.6536247240e-09, 2.8429736524e-09, 1.6640835314e-09,
2.3960087967e-09])
I_real = np.around(rf_current.real, 9) # round
Iref_real = np.around(Iref_real, 9)
self.assertSequenceEqual(I_real.tolist(), Iref_real.tolist(),
msg="In TestRFCurrent test_3, mismatch in real part of RF current")
Iref_imag = np.array([ -1.3134886055e-11, 1.0898262206e-09,
3.9806900984e-10,
-3.0007980073e-09, -7.4404909183e-09, -9.5619658077e-09,
-7.9029982105e-09, -4.5153699012e-09, -2.8337010673e-09,
-4.0605999910e-09, -5.7035811935e-09, -4.9421561822e-09,
-2.6226262365e-09, -1.0904425703e-09, 1.5886725829e-10,
3.6061564044e-09, 1.2213233410e-08, 3.0717134774e-08,
6.2263860975e-08, 1.0789908935e-07, 1.8547368321e-07,
3.3758410599e-07, 5.8319210090e-07, 8.7586115583e-07,
1.1744525681e-06, 1.5330067491e-06, 2.0257108185e-06,
2.6290348930e-06, 3.3065045701e-06, 4.1218136471e-06,
5.1059358251e-06, 6.1421308306e-06, 7.1521192647e-06,
8.2164613957e-06, 9.3474086978e-06, 1.0368027059e-05,
1.1176114701e-05, 1.1892303251e-05, 1.2600522466e-05,
1.3142991032e-05, 1.3286611961e-05, 1.2972067098e-05,
1.2344251145e-05, 1.1561930031e-05, 1.0577353622e-05,
9.1838382917e-06, 7.3302333455e-06, 5.2367297732e-06,
3.1309520147e-06, 1.0396785645e-06, -1.1104442284e-06,
-3.3300486963e-06, -5.5129705406e-06, -7.4742790081e-06,
-9.1003715719e-06, -1.0458342224e-05, -1.1632423668e-05,
-1.2513736332e-05, -1.2942309414e-05, -1.2975831165e-05,
-1.2799952495e-05, -1.2469945465e-05, -1.1941176358e-05,
-1.1222986380e-05, -1.0349594257e-05, -9.3491445482e-06,
-8.2956327726e-06, -7.2394219079e-06, -6.1539590898e-06,
-5.0802321519e-06, -4.1512021086e-06, -3.3868884793e-06,
-2.6850344653e-06, -2.0327038471e-06, -1.5048854341e-06,
-1.0965986189e-06, -7.4914749272e-07, -4.7128817088e-07,
-2.9595396024e-07, -1.9387567373e-07, -1.1597751838e-07,
-5.5766761837e-08, -2.3991059778e-08, -1.1910924971e-08,
-4.7797889603e-09, 9.0715301612e-11, 1.5744084129e-09,
2.8217939283e-09, 5.5919203984e-09, 7.7259433940e-09,
8.5033504655e-09, 9.1509256107e-09, 8.6746085156e-09,
5.8909590412e-09, 3.5957212556e-09, 4.3347189168e-09,
5.3331969589e-09, 3.9322184713e-09, 3.3616434953e-09,
6.5154351819e-09])
I_imag = np.around(rf_current.imag, 9) # round
Iref_imag = np.around(Iref_imag, 9)
self.assertSequenceEqual(I_imag.tolist(), Iref_imag.tolist(),
msg="In TestRFCurrent test_3, mismatch in imaginary part of RF current")
def test_vind(self):
# randomly chose omega_c from allowed range
np.random.seed(1980)
factor = np.random.uniform(0.9, 1.1)
# round results to this digits
digit_round = 8
# SPS parameters
C = 2*np.pi*1100.009 # Ring circumference [m]
gamma_t = 18.0 # Gamma at transition
alpha = 1/gamma_t**2 # Momentum compaction factor
p_s = 25.92e9 # Synchronous momentum at injection [eV]
h = 4620 # 200 MHz system harmonic
V = 4.5e6 # 200 MHz RF voltage
phi = 0. # 200 MHz RF phase
# Beam and tracking parameters
N_m = 1e5 # Number of macro-particles for tracking
N_b = 1.0e11 # Bunch intensity [ppb]
N_t = 1 # Number of turns to track
ring = Ring(C, alpha, p_s, Proton(), n_turns=N_t)
rf = RFStation(ring, h, V, phi)
beam = Beam(ring, N_m, N_b)
bigaussian(ring, rf, beam, 3.2e-9/4, seed=1234, reinsertion=True)
n_shift = 5 # how many rf-buckets to shift beam
beam.dt += n_shift * rf.t_rf[0,0]
profile = Profile(beam, CutOptions=
CutOptions(cut_left=(n_shift-1.5)*rf.t_rf[0,0],
cut_right=(n_shift+1.5)*rf.t_rf[0,0],
n_slices=140))
profile.track()
l_cav = 16.082
v_g = 0.0946
tau = l_cav/(v_g*c)*(1 + v_g)
TWC_impedance_source = TravelingWaveCavity(l_cav**2 * 27.1e3 / 8,
200.222e6, 2*np.pi*tau)
# Beam loading by convolution of beam and wake from cavity
inducedVoltageTWC = InducedVoltageTime(beam, profile,
[TWC_impedance_source])
induced_voltage = TotalInducedVoltage(beam, profile,
[inducedVoltageTWC])
induced_voltage.induced_voltage_sum()
V_ind_impSource = np.around(induced_voltage.induced_voltage,
digit_round)
# Beam loading via feed-back system
OTFB_4 = SPSOneTurnFeedback(rf, beam, profile, 4, n_cavities=1)
OTFB_4.counter = 0 # First turn
OTFB_4.omega_c = factor * OTFB_4.TWC.omega_r
# Compute impulse response
OTFB_4.TWC.impulse_response_beam(OTFB_4.omega_c, profile.bin_centers)
# Compute induced voltage in (I,Q) coordinates
OTFB_4.beam_induced_voltage(lpf=False)
# convert back to time
V_ind_OTFB \
= OTFB_4.V_fine_ind_beam.real \
* np.cos(OTFB_4.omega_c*profile.bin_centers) \
+ OTFB_4.V_fine_ind_beam.imag \
* np.sin(OTFB_4.omega_c*profile.bin_centers)
V_ind_OTFB = np.around(V_ind_OTFB, digit_round)
self.assertListEqual(V_ind_impSource.tolist(), V_ind_OTFB.tolist(),
msg="In TravelingWaveCavity test_vind: induced voltages differ")
RF_sct_par_freq = RFStation(general_params_freq, [harmonic_number],
[voltage_program], [phi_offset], n_rf_systems)
RF_sct_par_res = RFStation(general_params_res, [harmonic_number],
[voltage_program], [phi_offset], n_rf_systems)
my_beam = Beam(general_params, n_macroparticles, n_particles)
my_beam_freq = Beam(general_params_freq, n_macroparticles, n_particles)
my_beam_res = Beam(general_params_res, n_macroparticles, n_particles)
ring_RF_section = RingAndRFTracker(RF_sct_par, my_beam)
ring_RF_section_freq = RingAndRFTracker(RF_sct_par_freq, my_beam_freq)
ring_RF_section_res = RingAndRFTracker(RF_sct_par_res, my_beam_res)
# DEFINE BEAM------------------------------------------------------------------
bigaussian(general_params, RF_sct_par, my_beam, tau_0 / 4, seed=1)
bigaussian(general_params_freq,
RF_sct_par_freq,
my_beam_freq,
tau_0 / 4,
seed=1)
bigaussian(general_params_res, RF_sct_par_res, my_beam_res, tau_0 / 4, seed=1)
number_slices = 2**8
cut_options = CutOptions(cut_left=0,
cut_right=2 * np.pi,
n_slices=number_slices,
RFSectionParameters=RF_sct_par,
cuts_unit='rad')
slice_beam = Profile(my_beam, cut_options, FitOptions(fit_option='gaussian'))
cut_options_freq = CutOptions(cut_left=0,
def test_2(self):
bigaussian(self.ring,
self.rf,
self.beam,
3.2e-9 / 4,
seed=1234,
reinsertion=True)
self.profile.track()
rf_current = rf_beam_current(self.profile,
self.omega,
self.ring.t_rev[0],
lpf=False)
Iref_real = np.array([
0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
4.17276535e-13, 4.58438681e-13, 2.48023976e-13, 5.29812878e-13,
2.79735891e-13, 0.00000000e+00, 1.21117141e-12, 9.32525023e-13,
3.16481489e-13, 6.39337176e-13, 0.00000000e+00, 0.00000000e+00,
4.08671434e-12, 4.92294314e-12, 6.56965575e-12, 1.06279981e-11,
1.36819774e-11, 2.16648778e-11, 3.09847740e-11, 3.52971849e-11,
4.70378842e-11, 4.53538351e-11, 4.87255679e-11, 5.36705228e-11,
5.13609263e-11, 4.32833543e-11, 3.41417624e-11, 1.57452091e-11,
-1.09005668e-11, -4.60465929e-11, -9.12872553e-11, -1.48257171e-10,
-2.08540597e-10, -2.77630608e-10, -3.72157667e-10, -4.56272786e-10,
-5.57978710e-10, -6.46554672e-10, -7.48006839e-10, -8.21493943e-10,
-9.37522966e-10, -1.03729659e-09, -1.06159943e-09, -1.08434837e-09,
-1.15738771e-09, -1.17887328e-09, -1.17146946e-09, -1.10964397e-09,
-1.10234198e-09, -1.08852433e-09, -9.85866185e-10, -9.11727492e-10,
-8.25604179e-10, -7.34122902e-10, -6.47294094e-10, -5.30372699e-10,
-4.40357820e-10, -3.61273445e-10, -2.76871612e-10, -2.02227691e-10,
-1.45430219e-10, -8.88675652e-11, -4.28984525e-11, -8.85451321e-12,
1.79026289e-11, 3.48384211e-11, 4.50190278e-11, 5.62413467e-11,
5.27322593e-11, 4.98163111e-11, 4.83288193e-11, 4.18200848e-11,
3.13334266e-11, 2.44082106e-11, 2.12572803e-11, 1.37397871e-11,
1.00879346e-11, 7.78502206e-12, 4.00790815e-12, 2.51830412e-12,
1.91301488e-12, 0.00000000e+00, 9.58518921e-13, 3.16123806e-13,
1.24116545e-12, 1.20821671e-12, 5.82952178e-13, 8.35917228e-13,
5.27285250e-13, 4.93205915e-13, 0.00000000e+00, 2.06937011e-13,
1.84618141e-13, 1.60868490e-13, 0.00000000e+00, 1.09822742e-13
])
I_real = np.around(rf_current.real, 14) # round
Iref_real = np.around(Iref_real, 14)
self.assertSequenceEqual(
I_real.tolist(),
Iref_real.tolist(),
msg="In TestRFCurrent test_2, mismatch in real part of RF current")
Iref_imag = np.array([
0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
-4.86410815e-13, -4.47827158e-13, -2.02886432e-13, -3.60573852e-13,
-1.56290206e-13, 0.00000000e+00, -4.19433613e-13, -2.33465744e-13,
-5.01823105e-14, -4.43075921e-14, 0.00000000e+00, 0.00000000e+00,
8.07144709e-13, 1.43192280e-12, 2.55659168e-12, 5.25480064e-12,
8.33669524e-12, 1.59729353e-11, 2.73609511e-11, 3.71844853e-11,
5.92134758e-11, 6.87376280e-11, 9.02226570e-11, 1.24465616e-10,
1.55478762e-10, 1.84035433e-10, 2.37241518e-10, 2.86677989e-10,
3.28265272e-10, 3.77882012e-10, 4.29727720e-10, 4.83759029e-10,
5.13978173e-10, 5.41841031e-10, 5.91537968e-10, 6.00658643e-10,
6.13928028e-10, 5.96367636e-10, 5.76920099e-10, 5.25297875e-10,
4.89104065e-10, 4.29776324e-10, 3.33901906e-10, 2.38690921e-10,
1.49673305e-10, 4.78223853e-11, -5.57081558e-11, -1.51374774e-10,
-2.50724894e-10, -3.50731761e-10, -4.16547058e-10, -4.83765618e-10,
-5.36075032e-10, -5.74421794e-10, -6.05459147e-10, -5.91794283e-10,
-5.88179055e-10, -5.83222843e-10, -5.49774151e-10, -5.08571646e-10,
-4.86623358e-10, -4.33179012e-10, -3.73737133e-10, -3.37622742e-10,
-2.89119788e-10, -2.30660798e-10, -1.85597518e-10, -1.66348322e-10,
-1.19981335e-10, -9.07232680e-11, -7.21467862e-11, -5.18977454e-11,
-3.25510912e-11, -2.12524272e-11, -1.54447488e-11, -8.24107056e-12,
-4.90052047e-12, -2.96720377e-12, -1.13551262e-12, -4.79152734e-13,
-1.91861296e-13, 0.00000000e+00, 7.31481456e-14, 5.23883203e-14,
3.19951675e-13, 4.27870459e-13, 2.66236636e-13, 4.74712082e-13,
3.64260145e-13, 4.09222572e-13, 0.00000000e+00, 2.44654594e-13,
2.61906356e-13, 2.77128356e-13, 0.00000000e+00, 3.01027843e-13
])
I_imag = np.around(rf_current.imag, 14) # round
Iref_imag = np.around(Iref_imag, 14)
self.assertSequenceEqual(
I_imag.tolist(),
Iref_imag.tolist(),
msg="In TestRFCurrent test_2, mismatch in imaginary part of" +
" RF current")
[phi_offset], n_rf_systems)
RF_sct_par_res = RFStation(general_params_res,
[harmonic_number], [voltage_program],
[phi_offset], n_rf_systems)
my_beam = Beam(general_params, n_macroparticles, n_particles)
my_beam_freq = Beam(general_params_freq, n_macroparticles, n_particles)
my_beam_res = Beam(general_params_res, n_macroparticles, n_particles)
ring_RF_section = RingAndRFTracker(RF_sct_par, my_beam)
ring_RF_section_freq = RingAndRFTracker(RF_sct_par_freq, my_beam_freq)
ring_RF_section_res = RingAndRFTracker(RF_sct_par_res, my_beam_res)
# DEFINE BEAM------------------------------------------------------------------
bigaussian(general_params, RF_sct_par, my_beam, tau_0/4,
seed=1)
bigaussian(general_params_freq, RF_sct_par_freq, my_beam_freq,
tau_0/4, seed=1)
bigaussian(general_params_res, RF_sct_par_res, my_beam_res,
tau_0/4, seed=1)
number_slices = 2**8
cut_options = CutOptions(cut_left= 0, cut_right=2*np.pi, n_slices=number_slices,
RFSectionParameters=RF_sct_par, cuts_unit = 'rad')
slice_beam = Profile(my_beam, cut_options, FitOptions(fit_option='gaussian'))
cut_options_freq = CutOptions(cut_left= 0, cut_right=2*np.pi, n_slices=number_slices,
RFSectionParameters=RF_sct_par_freq, cuts_unit = 'rad')
slice_beam_freq = Profile(my_beam_freq, cut_options_freq, FitOptions(fit_option='gaussian'))
cut_options_res = CutOptions(cut_left= 0, cut_right=2*np.pi, n_slices=number_slices,
RFSectionParameters=ring_RF_section_res, cuts_unit = 'rad')
slice_beam_res = Profile(my_beam_res, cut_options_res, FitOptions(fit_option='gaussian'))
def test_3(self):
bigaussian(self.ring,
self.rf,
self.beam,
3.2e-9 / 4,
seed=1234,
reinsertion=True)
self.profile.track()
self.assertEqual(
len(self.beam.dt), np.sum(self.profile.n_macroparticles), "In" +
" TestBeamCurrent: particle number mismatch in Beam vs Profile")
# RF current calculation with low-pass filter
rf_current = rf_beam_current(self.profile,
self.omega,
self.ring.t_rev[0],
lpf=True)
Iref_real = np.array([
-7.1511909689e-12, -7.1512708858e-12, -7.1513482919e-12,
-7.1514232388e-12, -7.1514957777e-12, -7.1515659593e-12,
-7.1516338342e-12, -7.1516994523e-12, -7.1517628634e-12,
-7.1518241168e-12, -7.1518832613e-12, -7.1519403454e-12,
-7.1519954170e-12, -7.1520485239e-12, -7.1520997131e-12,
-7.1521490313e-12, -7.1521965247e-12, -7.1522422392e-12,
-7.1522862199e-12, -7.1523285117e-12, -7.1523691587e-12,
-7.1524082048e-12, -7.1524456933e-12, -7.1524816668e-12,
-7.1525161676e-12, -7.1525492372e-12, -7.1525809169e-12,
-7.1526112471e-12, -7.1526402679e-12, -7.1526680187e-12,
-7.1526945383e-12, -7.1527198650e-12, -7.1527440365e-12,
-7.1527670898e-12, -7.1527890615e-12, -7.1528099874e-12,
-7.1528299028e-12, -7.1528488424e-12, -7.1528668402e-12,
-7.1528839295e-12, -7.1529001433e-12, -7.1529155136e-12,
-7.1529300719e-12, -7.1529438491e-12, -7.1529568755e-12,
-7.1529691807e-12, -7.1529807935e-12, -7.1529917422e-12,
-7.1530020545e-12, -7.1530117574e-12, -7.1530208772e-12,
-7.1530294395e-12, -7.1530374694e-12, -7.1530449913e-12,
-7.1530520287e-12, -7.1530586049e-12, -7.1530647421e-12,
-7.1530704621e-12, -7.1530757860e-12, -7.1530807343e-12,
-7.1530853267e-12, -7.1530895824e-12, -7.1530935199e-12,
-7.1530971572e-12, -7.1531005114e-12, -7.1531035991e-12,
-7.1531064365e-12, -7.1531090389e-12, -7.1531114211e-12,
-7.1531135972e-12, -7.1531155809e-12, -7.1531173853e-12,
-7.1531190226e-12, -7.1531205049e-12, -7.1531218433e-12,
-7.1531230488e-12, -7.1531241314e-12, -7.1531251010e-12,
-7.1531259666e-12, -7.1531267370e-12, -7.1531274203e-12,
-7.1531280242e-12, -7.1531285560e-12, -7.1531290223e-12,
-7.1531294297e-12, -7.1531297839e-12, -7.1531300904e-12,
-7.1531303544e-12, -7.1531305805e-12, -7.1531307730e-12,
-7.1531309360e-12, -7.1531310731e-12, -7.1531311875e-12,
-7.1531312824e-12, -7.1531313603e-12, -7.1531314238e-12,
-7.1531314750e-12, -7.1531315159e-12, -7.1531315482e-12,
-7.1531315733e-12
])
np.testing.assert_allclose(
rf_current.real,
Iref_real,
rtol=1e-6,
atol=0,
err_msg=
"In TestRFCurrent test_3, mismatch in real part of RF current")
Iref_imag = np.array([
-2.1797211489e-12, -2.1796772456e-12, -2.1796347792e-12,
-2.1795937182e-12, -2.1795540314e-12, -2.1795156879e-12,
-2.1794786570e-12, -2.1794429085e-12, -2.1794084122e-12,
-2.1793751384e-12, -2.1793430575e-12, -2.1793121404e-12,
-2.1792823581e-12, -2.1792536822e-12, -2.1792260843e-12,
-2.1791995365e-12, -2.1791740112e-12, -2.1791494811e-12,
-2.1791259193e-12, -2.1791032992e-12, -2.1790815944e-12,
-2.1790607792e-12, -2.1790408280e-12, -2.1790217154e-12,
-2.1790034169e-12, -2.1789859077e-12, -2.1789691639e-12,
-2.1789531618e-12, -2.1789378779e-12, -2.1789232894e-12,
-2.1789093736e-12, -2.1788961083e-12, -2.1788834718e-12,
-2.1788714425e-12, -2.1788599995e-12, -2.1788491222e-12,
-2.1788387903e-12, -2.1788289840e-12, -2.1788196838e-12,
-2.1788108708e-12, -2.1788025262e-12, -2.1787946320e-12,
-2.1787871702e-12, -2.1787801236e-12, -2.1787734750e-12,
-2.1787672079e-12, -2.1787613061e-12, -2.1787557538e-12,
-2.1787505357e-12, -2.1787456369e-12, -2.1787410427e-12,
-2.1787367390e-12, -2.1787327121e-12, -2.1787289486e-12,
-2.1787254356e-12, -2.1787221605e-12, -2.1787191111e-12,
-2.1787162758e-12, -2.1787136430e-12, -2.1787112020e-12,
-2.1787089419e-12, -2.1787068527e-12, -2.1787049244e-12,
-2.1787031475e-12, -2.1787015131e-12, -2.1787000122e-12,
-2.1786986365e-12, -2.1786973779e-12, -2.1786962288e-12,
-2.1786951818e-12, -2.1786942299e-12, -2.1786933662e-12,
-2.1786925846e-12, -2.1786918789e-12, -2.1786912433e-12,
-2.1786906724e-12, -2.1786901610e-12, -2.1786897043e-12,
-2.1786892977e-12, -2.1786889367e-12, -2.1786886175e-12,
-2.1786883361e-12, -2.1786880890e-12, -2.1786878729e-12,
-2.1786876847e-12, -2.1786875215e-12, -2.1786873806e-12,
-2.1786872597e-12, -2.1786871564e-12, -2.1786870686e-12,
-2.1786869946e-12, -2.1786869325e-12, -2.1786868808e-12,
-2.1786868381e-12, -2.1786868031e-12, -2.1786867746e-12,
-2.1786867517e-12, -2.1786867335e-12, -2.1786867192e-12,
-2.1786867081e-12
])
np.testing.assert_allclose(
rf_current.imag,
Iref_imag,
rtol=1e-6,
atol=0,
err_msg=
"In TestRFCurrent test_3, mismatch in imaginary part of RF current"
)
def test_3(self):
# Set up SPS conditions
ring = Ring(2 * np.pi * 1100.009, 1 / 18**2, 25.92e9, Proton(), 1000)
RF = RFStation(ring, 4620, 4.5e6, 0)
beam = Beam(ring, 1e5, 1e11)
bigaussian(ring, RF, beam, 3.2e-9 / 4, seed=1234, reinsertion=True)
profile = Profile(
beam, CutOptions(cut_left=-1.e-9, cut_right=6.e-9, n_slices=100))
profile.track()
self.assertEqual(
len(beam.dt), np.sum(profile.n_macroparticles), "In" +
" TestBeamCurrent: particle number mismatch in Beam vs Profile")
# RF current calculation with low-pass filter
rf_current = rf_beam_current(profile, 2 * np.pi * 200.222e6,
ring.t_rev[0])
Iref_real = np.array([
-9.4646042539e-12, -7.9596801534e-10, -2.6993572787e-10,
2.3790828610e-09, 6.4007063190e-09, 9.5444302650e-09,
9.6957462918e-09, 6.9944771120e-09, 5.0040512366e-09,
8.2427583408e-09, 1.6487066238e-08, 2.2178930587e-08,
1.6497620890e-08, 1.9878201568e-09, -2.4862807497e-09,
2.0862096916e-08, 6.6115473293e-08, 1.1218114710e-07,
1.5428441607e-07, 2.1264254596e-07, 3.1213935713e-07,
4.6339212948e-07, 6.5039440158e-07, 8.2602190806e-07,
9.4532001396e-07, 1.0161170159e-06, 1.0795840334e-06,
1.1306004256e-06, 1.1081141333e-06, 9.7040873320e-07,
7.1863437325e-07, 3.3833950889e-07, -2.2273124358e-07,
-1.0035204008e-06, -1.9962696992e-06, -3.1751183137e-06,
-4.5326227784e-06, -6.0940850385e-06, -7.9138578879e-06,
-9.9867317826e-06, -1.2114906338e-05, -1.4055138779e-05,
-1.5925650405e-05, -1.8096693885e-05, -2.0418813156e-05,
-2.2142865862e-05, -2.3038234657e-05, -2.3822481250e-05,
-2.4891969829e-05, -2.5543384520e-05, -2.5196086909e-05,
-2.4415522211e-05, -2.3869116251e-05, -2.3182951665e-05,
-2.1723128723e-05, -1.9724625363e-05, -1.7805112266e-05,
-1.5981218737e-05, -1.3906226012e-05, -1.1635865568e-05,
-9.5381189596e-06, -7.7236624815e-06, -6.0416822483e-06,
-4.4575806261e-06, -3.0779237834e-06, -1.9274519396e-06,
-9.5699993457e-07, -1.7840768971e-07, 3.7780452612e-07,
7.5625231388e-07, 1.0158886027e-06, 1.1538975409e-06,
1.1677937652e-06, 1.1105424636e-06, 1.0216131672e-06,
8.8605026541e-07, 7.0783694846e-07, 5.4147914020e-07,
4.1956457226e-07, 3.2130062098e-07, 2.2762751268e-07,
1.4923020411e-07, 9.5683463322e-08, 5.8942895620e-08,
3.0515695233e-08, 1.2444834300e-08, 8.9413517889e-09,
1.6154761941e-08, 2.3261993674e-08, 2.3057968490e-08,
1.8354179928e-08, 1.4938991667e-08, 1.2506841004e-08,
8.1230022648e-09, 3.7428821201e-09, 2.8368110506e-09,
3.6536247240e-09, 2.8429736524e-09, 1.6640835314e-09,
2.3960087967e-09
])
I_real = np.around(rf_current.real, 9) # round
Iref_real = np.around(Iref_real, 9)
self.assertSequenceEqual(
I_real.tolist(),
Iref_real.tolist(),
msg="In TestRFCurrent test_3, mismatch in real part of RF current")
Iref_imag = np.array([
-1.3134886055e-11, 1.0898262206e-09, 3.9806900984e-10,
-3.0007980073e-09, -7.4404909183e-09, -9.5619658077e-09,
-7.9029982105e-09, -4.5153699012e-09, -2.8337010673e-09,
-4.0605999910e-09, -5.7035811935e-09, -4.9421561822e-09,
-2.6226262365e-09, -1.0904425703e-09, 1.5886725829e-10,
3.6061564044e-09, 1.2213233410e-08, 3.0717134774e-08,
6.2263860975e-08, 1.0789908935e-07, 1.8547368321e-07,
3.3758410599e-07, 5.8319210090e-07, 8.7586115583e-07,
1.1744525681e-06, 1.5330067491e-06, 2.0257108185e-06,
2.6290348930e-06, 3.3065045701e-06, 4.1218136471e-06,
5.1059358251e-06, 6.1421308306e-06, 7.1521192647e-06,
8.2164613957e-06, 9.3474086978e-06, 1.0368027059e-05,
1.1176114701e-05, 1.1892303251e-05, 1.2600522466e-05,
1.3142991032e-05, 1.3286611961e-05, 1.2972067098e-05,
1.2344251145e-05, 1.1561930031e-05, 1.0577353622e-05,
9.1838382917e-06, 7.3302333455e-06, 5.2367297732e-06,
3.1309520147e-06, 1.0396785645e-06, -1.1104442284e-06,
-3.3300486963e-06, -5.5129705406e-06, -7.4742790081e-06,
-9.1003715719e-06, -1.0458342224e-05, -1.1632423668e-05,
-1.2513736332e-05, -1.2942309414e-05, -1.2975831165e-05,
-1.2799952495e-05, -1.2469945465e-05, -1.1941176358e-05,
-1.1222986380e-05, -1.0349594257e-05, -9.3491445482e-06,
-8.2956327726e-06, -7.2394219079e-06, -6.1539590898e-06,
-5.0802321519e-06, -4.1512021086e-06, -3.3868884793e-06,
-2.6850344653e-06, -2.0327038471e-06, -1.5048854341e-06,
-1.0965986189e-06, -7.4914749272e-07, -4.7128817088e-07,
-2.9595396024e-07, -1.9387567373e-07, -1.1597751838e-07,
-5.5766761837e-08, -2.3991059778e-08, -1.1910924971e-08,
-4.7797889603e-09, 9.0715301612e-11, 1.5744084129e-09,
2.8217939283e-09, 5.5919203984e-09, 7.7259433940e-09,
8.5033504655e-09, 9.1509256107e-09, 8.6746085156e-09,
5.8909590412e-09, 3.5957212556e-09, 4.3347189168e-09,
5.3331969589e-09, 3.9322184713e-09, 3.3616434953e-09,
6.5154351819e-09
])
I_imag = np.around(rf_current.imag, 9) # round
Iref_imag = np.around(Iref_imag, 9)
self.assertSequenceEqual(
I_imag.tolist(),
Iref_imag.tolist(),
msg=
"In TestRFCurrent test_3, mismatch in imaginary part of RF current"
)
section_index=2)
long_tracker_2 = RingAndRFTracker(rf_params_2, beam)
# Define full voltage over one turn and a corresponding "overall" set of
#parameters, which is used for the separatrix (in plotting and losses)
Vtot = total_voltage([rf_params_1, rf_params_2])
rf_params_tot = RFStation(general_params, [h], [Vtot], [dphi])
beam_dummy = Beam(general_params, 1, N_b)
long_tracker_tot = RingAndRFTracker(rf_params_tot, beam_dummy)
print("General and RF parameters set...")
# Define beam and distribution
bigaussian(general_params, rf_params_tot, beam, tau_0/4,
reinsertion = 'on', seed=1)
print("Beam set and distribution generated...")
# Need slices for the Gaussian fit; slice for the first plot
slice_beam = Profile(beam, CutOptions(n_slices=100),
FitOptions(fit_option='gaussian'))
# Define what to save in file
bunchmonitor = BunchMonitor(general_params, rf_params_tot, beam,
this_directory + '../output_files/EX_04_output_data',
Profile=slice_beam, buffer_time=1)
# PLOTS
format_options = {'dirname': this_directory + '../output_files/EX_04_fig', 'linestyle': '.'}
plots = Plot(general_params, rf_params_tot, beam, dt_plt, dt_plt, 0,
voltage_program = 8e3 #[V]
phi_offset = np.pi
# DEFINE RING------------------------------------------------------------------
general_params = Ring(C, momentum_compaction, sync_momentum, Proton(), n_turns)
RF_sct_par = RFStation(general_params, [harmonic_numbers], [voltage_program],
[phi_offset], n_rf_systems)
my_beam = Beam(general_params, n_macroparticles, n_particles)
ring_RF_section = RingAndRFTracker(RF_sct_par, my_beam)
# DEFINE BEAM------------------------------------------------------------------
bigaussian(general_params, RF_sct_par, my_beam, sigma_dt, seed=1)
# DEFINE SLICES----------------------------------------------------------------
slice_beam = Profile(
my_beam,
CutOptions(cut_left=-5.72984173562e-7,
cut_right=5.72984173562e-7,
n_slices=100))
# MONITOR----------------------------------------------------------------------
bunchmonitor = BunchMonitor(general_params,
RF_sct_par,
my_beam,
this_directory +
'../output_files/EX_02_output_data',
def setUp(self):
C = 2*np.pi*1100.009 # Ring circumference [m]
gamma_t = 18.0 # Gamma at transition
alpha = 1/gamma_t**2 # Momentum compaction factor
p_s = 25.92e9 # Synchronous momentum at injection [eV]
h = 4620 # 200 MHz system harmonic
phi = 0. # 200 MHz RF phase
# With this setting, amplitude in the two four-section, five-section
# cavities must converge, respectively, to
# 2.0 MV = 4.5 MV * 4/18 * 2
# 2.5 MV = 4.5 MV * 5/18 * 2
V = 4.5e6 # 200 MHz RF voltage
N_t = 1 # Number of turns to track
self.ring = Ring(C, alpha, p_s, Particle=Proton(), n_turns=N_t)
self.rf = RFStation(self.ring, h, V, phi)
N_m = 1e6 # Number of macro-particles for tracking
N_b = 72*1.0e11 # Bunch intensity [ppb]
# Gaussian beam profile
self.beam = Beam(self.ring, N_m, N_b)
sigma = 1.0e-9
bigaussian(self.ring, self.rf, self.beam, sigma, seed=1234,
reinsertion=False)
n_shift = 1550 # how many rf-buckets to shift beam
self.beam.dt += n_shift * self.rf.t_rf[0,0]
self.profile = Profile(
self.beam, CutOptions=CutOptions(
cut_left=(n_shift-1.5)*self.rf.t_rf[0,0],
cut_right=(n_shift+2.5)*self.rf.t_rf[0,0],
n_slices=4*64))
self.profile.track()
# Cavities
l_cav = 43*0.374
v_g = 0.0946
tau = l_cav/(v_g*c)*(1 + v_g)
f_cav = 200.222e6
n_cav = 2 # factor 2 because of two four/five-sections cavities
short_cavity = TravelingWaveCavity(l_cav**2 * n_cav * 27.1e3 / 8,
f_cav, 2*np.pi*tau)
shortInducedVoltage = InducedVoltageTime(self.beam, self.profile,
[short_cavity])
l_cav = 54*0.374
tau = l_cav/(v_g*c)*(1 + v_g)
long_cavity = TravelingWaveCavity(l_cav**2 * n_cav * 27.1e3 / 8, f_cav,
2*np.pi*tau)
longInducedVoltage = InducedVoltageTime(self.beam, self.profile,
[long_cavity])
self.induced_voltage = TotalInducedVoltage(
self.beam, self.profile, [shortInducedVoltage, longInducedVoltage])
self.induced_voltage.induced_voltage_sum()
self.cavity_tracker = RingAndRFTracker(
self.rf, self.beam, Profile=self.profile, interpolation=True,
TotalInducedVoltage=self.induced_voltage)
self.OTFB = SPSCavityFeedback(
self.rf, self.beam, self.profile, G_llrf=5, G_tx=0.5, a_comb=15/16,
turns=50, Commissioning=CavityFeedbackCommissioning())
self.OTFB_tracker = RingAndRFTracker(self.rf, self.beam,
Profile=self.profile,
TotalInducedVoltage=None,
CavityFeedback=self.OTFB,
interpolation=True)
def setUp(self):
C = 2*np.pi*1100.009 # Ring circumference [m]
gamma_t = 18.0 # Gamma at transition
alpha = 1/gamma_t**2 # Momentum compaction factor
p_s = 25.92e9 # Synchronous momentum at injection [eV]
h = 4620 # 200 MHz system harmonic
phi = 0. # 200 MHz RF phase
# With this setting, amplitude in the two four-section, five-section
# cavities must converge, respectively, to
# 2.0 MV = 4.5 MV * 4/18 * 2
# 2.5 MV = 4.5 MV * 5/18 * 2
V = 4.5e6 # 200 MHz RF voltage
N_t = 1 # Number of turns to track
self.ring = Ring(C, alpha, p_s, Particle=Proton(), n_turns=N_t)
self.rf = RFStation(self.ring, h, V, phi)
N_m = 1e6 # Number of macro-particles for tracking
N_b = 72*1.0e11 # Bunch intensity [ppb]
# Gaussian beam profile
self.beam = Beam(self.ring, N_m, N_b)
sigma = 1.0e-9
bigaussian(self.ring, self.rf, self.beam, sigma, seed=1234,
reinsertion=False)
n_shift = 1550 # how many rf-buckets to shift beam
self.beam.dt += n_shift * self.rf.t_rf[0, 0]
self.profile = Profile(
self.beam, CutOptions=CutOptions(
cut_left=(n_shift-1.5)*self.rf.t_rf[0, 0],
cut_right=(n_shift+2.5)*self.rf.t_rf[0, 0],
n_slices=4*64))
self.profile.track()
# Cavities
l_cav = 43*0.374
v_g = 0.0946
tau = l_cav/(v_g*c)*(1 + v_g)
f_cav = 200.222e6
n_cav = 2 # factor 2 because of two four/five-sections cavities
short_cavity = TravelingWaveCavity(l_cav**2 * n_cav * 27.1e3 / 8,
f_cav, 2*np.pi*tau)
shortInducedVoltage = InducedVoltageTime(self.beam, self.profile,
[short_cavity])
l_cav = 54*0.374
tau = l_cav/(v_g*c)*(1 + v_g)
long_cavity = TravelingWaveCavity(l_cav**2 * n_cav * 27.1e3 / 8, f_cav,
2*np.pi*tau)
longInducedVoltage = InducedVoltageTime(self.beam, self.profile,
[long_cavity])
self.induced_voltage = TotalInducedVoltage(
self.beam, self.profile, [shortInducedVoltage, longInducedVoltage])
self.induced_voltage.induced_voltage_sum()
self.cavity_tracker = RingAndRFTracker(
self.rf, self.beam, Profile=self.profile, interpolation=True,
TotalInducedVoltage=self.induced_voltage)
self.OTFB = SPSCavityFeedback(
self.rf, self.beam, self.profile, G_llrf=5, G_tx=0.5, a_comb=15/16,
turns=50, Commissioning=CavityFeedbackCommissioning())
self.OTFB_tracker = RingAndRFTracker(self.rf, self.beam,
Profile=self.profile,
TotalInducedVoltage=None,
CavityFeedback=self.OTFB,
interpolation=True)
def test_vind(self):
# randomly chose omega_c from allowed range
np.random.seed(1980)
factor = np.random.uniform(0.9, 1.1)
# round results to this digits
digit_round = 8
# SPS parameters
C = 2 * np.pi * 1100.009 # Ring circumference [m]
gamma_t = 18.0 # Gamma at transition
alpha = 1 / gamma_t**2 # Momentum compaction factor
p_s = 25.92e9 # Synchronous momentum at injection [eV]
h = 4620 # 200 MHz system harmonic
V = 4.5e6 # 200 MHz RF voltage
phi = 0. # 200 MHz RF phase
# Beam and tracking parameters
N_m = 1e5 # Number of macro-particles for tracking
N_b = 1.0e11 # Bunch intensity [ppb]
N_t = 1 # Number of turns to track
ring = Ring(C, alpha, p_s, Proton(), n_turns=N_t)
rf = RFStation(ring, h, V, phi)
beam = Beam(ring, N_m, N_b)
bigaussian(ring, rf, beam, 3.2e-9 / 4, seed=1234, reinsertion=True)
n_shift = 5 # how many rf-buckets to shift beam
beam.dt += n_shift * rf.t_rf[0, 0]
profile = Profile(beam,
CutOptions=CutOptions(
cut_left=(n_shift - 1.5) * rf.t_rf[0, 0],
cut_right=(n_shift + 1.5) * rf.t_rf[0, 0],
n_slices=140))
profile.track()
l_cav = 16.082
v_g = 0.0946
tau = l_cav / (v_g * c) * (1 + v_g)
TWC_impedance_source = TravelingWaveCavity(l_cav**2 * 27.1e3 / 8,
200.222e6, 2 * np.pi * tau)
# Beam loading by convolution of beam and wake from cavity
inducedVoltageTWC = InducedVoltageTime(beam, profile,
[TWC_impedance_source])
induced_voltage = TotalInducedVoltage(beam, profile,
[inducedVoltageTWC])
induced_voltage.induced_voltage_sum()
V_ind_impSource = np.around(induced_voltage.induced_voltage,
digit_round)
# Beam loading via feed-back system
OTFB_4 = SPSOneTurnFeedback(rf, beam, profile, 4, n_cavities=1)
OTFB_4.counter = 0 # First turn
OTFB_4.omega_c = factor * OTFB_4.TWC.omega_r
# Compute impulse response
OTFB_4.TWC.impulse_response_beam(OTFB_4.omega_c, profile.bin_centers)
# Compute induced voltage in (I,Q) coordinates
OTFB_4.beam_induced_voltage(lpf=False)
# convert back to time
V_ind_OTFB \
= OTFB_4.V_fine_ind_beam.real \
* np.cos(OTFB_4.omega_c*profile.bin_centers) \
+ OTFB_4.V_fine_ind_beam.imag \
* np.sin(OTFB_4.omega_c*profile.bin_centers)
V_ind_OTFB = np.around(V_ind_OTFB, digit_round)
self.assertListEqual(
V_ind_impSource.tolist(),
V_ind_OTFB.tolist(),
msg="In TravelingWaveCavity test_vind: induced voltages differ")
def setUp(self):
"""
Slicing of the same Gaussian profile using four distinct settings to
test different features.
"""
np.random.seed(1984)
intensity_pb = 1.0e11
sigma = 0.2e-9 # Gauss sigma, [s]
n_macroparticles_pb = int(1e4)
n_bunches = 2
# --- Ring and RF ----------------------------------------------
intensity = n_bunches * intensity_pb # total intensity SPS
n_turns = 1
# Ring parameters SPS
circumference = 6911.5038 # Machine circumference [m]
sync_momentum = 25.92e9 # SPS momentum at injection [eV/c]
gamma_transition = 17.95142852 # Q20 Transition gamma
momentum_compaction = 1. / gamma_transition**2 # Momentum compaction array
ring = Ring(circumference,
momentum_compaction,
sync_momentum,
Proton(),
n_turns=n_turns)
# RF parameters SPS
harmonic_number = 4620 # harmonic number
voltage = 3.5e6 # [V]
phi_offsets = 0
self.rf_station = RFStation(ring,
harmonic_number,
voltage,
phi_offsets,
n_rf=1)
t_rf = self.rf_station.t_rf[0, 0]
bunch_spacing = 5 # RF buckets
n_macroparticles = n_bunches * n_macroparticles_pb
self.beam = Beam(ring, n_macroparticles, intensity)
for bunch in range(n_bunches):
bunchBeam = Beam(ring, n_macroparticles_pb, intensity_pb)
bigaussian(ring,
self.rf_station,
bunchBeam,
sigma,
reinsertion=True,
seed=1984 + bunch)
self.beam.dt[bunch*n_macroparticles_pb : (bunch+1)*n_macroparticles_pb] \
= bunchBeam.dt + bunch*bunch_spacing * t_rf
self.beam.dE[bunch * n_macroparticles_pb:(bunch + 1) *
n_macroparticles_pb] = bunchBeam.dE
self.filling_pattern = np.zeros(bunch_spacing * (n_bunches - 1) + 1)
self.filling_pattern[::bunch_spacing] = 1
# uniform profile
profile_margin = 0 * t_rf
t_batch_begin = 0 * t_rf
t_batch_end = (bunch_spacing * (n_bunches - 1) + 1) * t_rf
self.n_slices_rf = 32 # number of slices per RF-bucket
cut_left = t_batch_begin - profile_margin
cut_right = t_batch_end + profile_margin
# number of rf-buckets of the self.beam
# + rf-buckets before the self.beam + rf-buckets after the self.beam
n_slices = self.n_slices_rf * (
bunch_spacing * (n_bunches - 1) + 1 +
int(np.round((t_batch_begin - cut_left) / t_rf)) +
int(np.round((cut_right - t_batch_end) / t_rf)))
self.uniform_profile = Profile(self.beam,
CutOptions=CutOptions(
cut_left=cut_left,
n_slices=n_slices,
cut_right=cut_right))
self.uniform_profile.track()
def setUp(self, negativeEta=True, acceleration=True, singleRF=True):
# Defining parameters -------------------------------------------------
# Bunch parameters
N_b = 1.e9 # Intensity
N_p = 100000 # Macro-particles
tau_0 = 50.e-9 # Initial bunch length, 4 sigma [s]
# Machine parameters
C = 1567.5 # Machine circumference [m]
p_1i = 3.e9 # Synchronous momentum [eV/c]
p_1f = 30.0e9 # Synchronous momentum, final
p_2f = 40.e9 # Synchronous momentum [eV/c]
p_2i = 60.e9 # Synchronous momentum, final
gamma_t = 31.6 # Transition gamma
alpha_1 = -1. / gamma_t / gamma_t # First order mom. comp. factor
alpha_2 = 1. / gamma_t / gamma_t # First order mom. comp. factor
# RF parameters
h = [9, 18] # Harmonic number
V = [1800.e3, 110.e3] # RF voltage [V]
phi_1 = [np.pi + 1., np.pi / 6 + 2.] # Phase modulation/offset
phi_2 = [1., np.pi / 6 + 2.] # Phase modulation/offset
N_t = 43857
# Defining classes ----------------------------------------------------
# Define general parameters
if (negativeEta == True):
if acceleration == True:
# eta < 0, acceleration
general_params = Ring(C, alpha_1,
np.linspace(p_1i, p_1f, N_t + 1),
Proton(), N_t)
elif acceleration == False:
# eta < 0, deceleration
general_params = Ring(C, alpha_1,
np.linspace(p_1f, p_1i, N_t + 1),
Proton(), N_t)
if singleRF == True:
rf_params = RFStation(general_params,
9,
1.8e6,
np.pi + 1.,
n_rf=1)
elif singleRF == False:
rf_params = RFStation(general_params, h, V, phi_1, n_rf=2)
rf_params.phi_s = calculate_phi_s(
rf_params,
Particle=general_params.Particle,
accelerating_systems='all')
elif (negativeEta == False):
if acceleration == True:
# eta > 0, acceleration
general_params = Ring(C, alpha_2,
np.linspace(p_2i, p_2f, N_t + 1),
Proton(), N_t)
elif acceleration == False:
# eta > 0, deceleration
general_params = Ring(C, alpha_2,
np.linspace(p_2f, p_2i, N_t + 1),
Proton(), N_t)
if singleRF == True:
rf_params = RFStation(general_params, 9, 1.8e6, 1., n_rf=1)
elif singleRF == False:
rf_params = RFStation(general_params, h, V, phi_2, n_rf=2)
rf_params.phi_s = calculate_phi_s(
rf_params,
Particle=general_params.Particle,
accelerating_systems='all')
# Define beam and distribution
beam = Beam(general_params, N_p, N_b)
bigaussian(general_params, rf_params, beam, tau_0 / 4, seed=1234)
#print(np.mean(beam.dt))
slices = Profile(
beam, CutOptions(cut_left=0.e-9, cut_right=600.e-9, n_slices=1000))
slices.track()
configuration = {
'machine': 'LHC',
'PL_gain': 0.1 * general_params.t_rev[0]
}
PL = BeamFeedback(general_params, rf_params, slices, configuration)
PL.beam_phase()
# Quantities to be compared
self.phi_s = rf_params.phi_s[0]
self.phi_b = PL.phi_beam
self.phi_rf = rf_params.phi_rf[0, 0]
self.dE_sep = separatrix(general_params, rf_params,
[-5.e-7, -3.e-7, 1.e-7, 3.e-7, 7.e-7, 9.e-7])
