w = S4Wiggler(K_vertical=kValue,period_length=per,number_of_periods=nPer,
flag_emittance=use_emittances,
emin=e_min,emax=e_max,ng_e=10, ng_j=nTrajPoints)
print(w.info())
ls = S4WigglerLightSource(name="Untitled", electron_beam=syned_electron_beam, wiggler_magnetic_structure=w)
beam = ls.get_beam(NRAYS=NRAYS)
compare_rays_with_shadow3_beam(beam.rays,beam_shadow3,do_plot=False,do_assert=True)
#
# check new sync_f function
#
from numpy.testing import assert_almost_equal
from shadow4.sources.wiggler.s4_wiggler_light_source import sync_f_sigma_and_pi
from srxraylib.sources.srfunc import sync_f
rAngle = numpy.array([1,2,3,4])
rEnergy = 1.3
s,p = sync_f_sigma_and_pi(rAngle,rEnergy)
s0 = sync_f(rAngle, rEnergy, polarization=1)
p0 = sync_f(rAngle, rEnergy, polarization=2)
assert_almost_equal(s,s0[:,0])
assert_almost_equal(p, p0[:, 0])
print(">>>>s: ",s,s0[:,0])
print(">>>>p: ",p,p0[:,0])
def xoppy_calc_bm(MACHINE_NAME="ESRF bending magnet",RB_CHOICE=0,MACHINE_R_M=25.0,BFIELD_T=0.8,\
BEAM_ENERGY_GEV=6.04,CURRENT_A=0.1,HOR_DIV_MRAD=1.0,VER_DIV=0,\
PHOT_ENERGY_MIN=100.0,PHOT_ENERGY_MAX=100000.0,NPOINTS=500,LOG_CHOICE=1,\
PSI_MRAD_PLOT=1.0,PSI_MIN=-1.0,PSI_MAX=1.0,PSI_NPOINTS=500,TYPE_CALC=0,FILE_DUMP=0):
print("Inside xoppy_calc_bm. ")
# electron energy in GeV
gamma = BEAM_ENERGY_GEV*1e3 / srfunc.codata_mee
r_m = MACHINE_R_M # magnetic radius in m
if RB_CHOICE == 1:
r_m = srfunc.codata_me * srfunc.codata_c / srfunc.codata_ec / BFIELD_T * numpy.sqrt(gamma * gamma - 1)
# calculate critical energy in eV
ec_m = 4.0*numpy.pi*r_m/3.0/numpy.power(gamma,3) # wavelength in m
ec_ev = srfunc.m2ev / ec_m
fm = None
a = None
energy_ev = None
if TYPE_CALC == 0:
if LOG_CHOICE == 0:
energy_ev = numpy.linspace(PHOT_ENERGY_MIN,PHOT_ENERGY_MAX,NPOINTS) # photon energy grid
else:
energy_ev = numpy.logspace(numpy.log10(PHOT_ENERGY_MIN),numpy.log10(PHOT_ENERGY_MAX),NPOINTS) # photon energy grid
a5 = srfunc.sync_ene(VER_DIV, energy_ev, ec_ev=ec_ev, polarization=0, \
e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, \
psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
a5par = srfunc.sync_ene(VER_DIV, energy_ev, ec_ev=ec_ev, polarization=1, \
e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, \
psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
a5per = srfunc.sync_ene(VER_DIV, energy_ev, ec_ev=ec_ev, polarization=2, \
e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, \
psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
if VER_DIV == 0:
coltitles=['Photon Energy [eV]','Photon Wavelength [A]','E/Ec','Flux_spol/Flux_total','Flux_ppol/Flux_total','Flux[Phot/sec/0.1%bw]','Power[Watts/eV]']
title='integrated in Psi,'
if VER_DIV == 1:
coltitles=['Photon Energy [eV]','Photon Wavelength [A]','E/Ec','Flux_spol/Flux_total','Flux_ppol/Flux_total','Flux[Phot/sec/0.1%bw/mrad(Psi)]','Power[Watts/eV/mrad(Psi)]']
title='at Psi=0,'
if VER_DIV == 2:
coltitles=['Photon Energy [eV]','Photon Wavelength [A]','E/Ec','Flux_spol/Flux_total','Flux_ppol/Flux_total','Flux[Phot/sec/0.1%bw]','Power[Watts/eV]']
title='in Psi=[%e,%e]'%(PSI_MIN,PSI_MAX)
if VER_DIV == 3:
coltitles=['Photon Energy [eV]','Photon Wavelength [A]','E/Ec','Flux_spol/Flux_total','Flux_ppol/Flux_total','Flux[Phot/sec/0.1%bw/mrad(Psi)]','Power[Watts/eV/mrad(Psi)]']
title='at Psi=%e mrad'%(PSI_MIN)
a6=numpy.zeros((7,len(energy_ev)))
a1 = energy_ev
a6[0,:] = (a1)
a6[1,:] = srfunc.m2ev * 1e10 / (a1)
a6[2,:] = (a1)/ec_ev # E/Ec
a6[3,:] = numpy.array(a5par)/numpy.array(a5)
a6[4,:] = numpy.array(a5per)/numpy.array(a5)
a6[5,:] = numpy.array(a5)
a6[6,:] = numpy.array(a5)*1e3 * srfunc.codata_ec
if TYPE_CALC == 1: # angular distributions over over all energies
angle_mrad = numpy.linspace(-PSI_MRAD_PLOT, +PSI_MRAD_PLOT,NPOINTS) # angle grid
a6 = numpy.zeros((6,NPOINTS))
a6[0,:] = angle_mrad # angle in mrad
a6[1,:] = angle_mrad*gamma/1e3 # Psi[rad]*Gamma
a6[2,:] = srfunc.sync_f(angle_mrad * gamma / 1e3)
a6[3,:] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=1)
a6[4,:] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=2)
a6[5,:] = srfunc.sync_ang(0, angle_mrad, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, e_gev=BEAM_ENERGY_GEV, r_m=r_m)
coltitles=['Psi[mrad]','Psi[rad]*Gamma','F','F s-pol','F p-pol','Power[Watts/mrad(Psi)]']
if TYPE_CALC == 2: # angular distributions at a single energy
angle_mrad = numpy.linspace(-PSI_MRAD_PLOT, +PSI_MRAD_PLOT,NPOINTS) # angle grid
a6 = numpy.zeros((7,NPOINTS))
a6[0,:] = angle_mrad # angle in mrad
a6[1,:] = angle_mrad*gamma/1e3 # Psi[rad]*Gamma
a6[2,:] = srfunc.sync_f(angle_mrad * gamma / 1e3)
a6[3,:] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=1)
a6[4,:] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=2)
tmp = srfunc.sync_ang(1, angle_mrad, energy=PHOT_ENERGY_MIN, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, e_gev=BEAM_ENERGY_GEV, ec_ev=ec_ev)
tmp.shape = -1
a6[5,:] = tmp
a6[6,:] = a6[5,:] * srfunc.codata_ec * 1e3
coltitles=['Psi[mrad]','Psi[rad]*Gamma','F','F s-pol','F p-pol','Flux[Ph/sec/0.1%bw/mrad(Psi)]','Power[Watts/eV/mrad(Psi)]']
if TYPE_CALC == 3: # angular,energy distributions flux
angle_mrad = numpy.linspace(-PSI_MRAD_PLOT, +PSI_MRAD_PLOT,NPOINTS) # angle grid
if LOG_CHOICE == 0:
energy_ev = numpy.linspace(PHOT_ENERGY_MIN,PHOT_ENERGY_MAX,NPOINTS) # photon energy grid
else:
energy_ev = numpy.logspace(numpy.log10(PHOT_ENERGY_MIN),numpy.log10(PHOT_ENERGY_MAX),NPOINTS) # photon energy grid
# fm[angle,energy]
fm = srfunc.sync_ene(4, energy_ev, ec_ev=ec_ev, e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, \
hdiv_mrad=HOR_DIV_MRAD, psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
a = numpy.linspace(PSI_MIN,PSI_MAX,PSI_NPOINTS)
a6 = numpy.zeros((4,len(a)*len(energy_ev)))
ij = -1
for i in range(len(a)):
for j in range(len(energy_ev)):
ij += 1
a6[0,ij] = a[i]
a6[1,ij] = energy_ev[j]
a6[2,ij] = fm[i,j] * srfunc.codata_ec * 1e3
a6[3,ij] = fm[i,j]
coltitles=['Psi [mrad]','Photon Energy [eV]','Power [Watts/eV/mrad(Psi)]','Flux [Ph/sec/0.1%bw/mrad(Psi)]']
# write spec file
ncol = len(coltitles)
npoints = len(a6[0,:])
if FILE_DUMP == 1:
outFile = "bm.spec"
f = open(outFile,"w")
f.write("#F "+outFile+"\n")
f.write("\n")
f.write("#S 1 bm results\n")
f.write("#N %d\n"%(ncol))
f.write("#L")
for i in range(ncol):
f.write(" "+coltitles[i])
f.write("\n")
for i in range(npoints):
f.write((" %e "*ncol+"\n")%(tuple(a6[:,i].tolist())))
f.close()
print("File written to disk: " + outFile)
return a6.T, fm, a, energy_ev
def xoppy_calc_bm(MACHINE_NAME="ESRF bending magnet",RB_CHOICE=0,MACHINE_R_M=25.0,BFIELD_T=0.8,\
BEAM_ENERGY_GEV=6.04,CURRENT_A=0.1,HOR_DIV_MRAD=1.0,VER_DIV=0,\
PHOT_ENERGY_MIN=100.0,PHOT_ENERGY_MAX=100000.0,NPOINTS=500,LOG_CHOICE=1,\
PSI_MRAD_PLOT=1.0,PSI_MIN=-1.0,PSI_MAX=1.0,PSI_NPOINTS=500,TYPE_CALC=0,FILE_DUMP=0):
# electron energy in GeV
gamma = BEAM_ENERGY_GEV * 1e3 / srfunc.codata_mee
r_m = MACHINE_R_M # magnetic radius in m
if RB_CHOICE == 1:
r_m = srfunc.codata_me * srfunc.codata_c / srfunc.codata_ec / BFIELD_T * numpy.sqrt(
gamma * gamma - 1)
# calculate critical energy in eV
ec_m = 4.0 * numpy.pi * r_m / 3.0 / numpy.power(gamma,
3) # wavelength in m
ec_ev = srfunc.m2ev / ec_m
fm = None
a = None
energy_ev = None
if TYPE_CALC == 0:
if LOG_CHOICE == 0:
energy_ev = numpy.linspace(PHOT_ENERGY_MIN, PHOT_ENERGY_MAX,
NPOINTS) # photon energy grid
else:
energy_ev = numpy.logspace(numpy.log10(PHOT_ENERGY_MIN),
numpy.log10(PHOT_ENERGY_MAX),
NPOINTS) # photon energy grid
a5 = srfunc.sync_ene(VER_DIV, energy_ev, ec_ev=ec_ev, polarization=0, \
e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, \
psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
a5par = srfunc.sync_ene(VER_DIV, energy_ev, ec_ev=ec_ev, polarization=1, \
e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, \
psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
a5per = srfunc.sync_ene(VER_DIV, energy_ev, ec_ev=ec_ev, polarization=2, \
e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, hdiv_mrad=HOR_DIV_MRAD, \
psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
if VER_DIV == 0:
coltitles = [
'Photon Energy [eV]', 'Photon Wavelength [A]', 'E/Ec',
'Flux_spol/Flux_total', 'Flux_ppol/Flux_total',
'Flux[Phot/sec/0.1%bw]', 'Power[Watts/eV]'
]
title = 'integrated in Psi,'
if VER_DIV == 1:
coltitles = [
'Photon Energy [eV]', 'Photon Wavelength [A]', 'E/Ec',
'Flux_spol/Flux_total', 'Flux_ppol/Flux_total',
'Flux[Phot/sec/0.1%bw/mrad(Psi)]', 'Power[Watts/eV/mrad(Psi)]'
]
title = 'at Psi=0,'
if VER_DIV == 2:
coltitles = [
'Photon Energy [eV]', 'Photon Wavelength [A]', 'E/Ec',
'Flux_spol/Flux_total', 'Flux_ppol/Flux_total',
'Flux[Phot/sec/0.1%bw]', 'Power[Watts/eV]'
]
title = 'in Psi=[%e,%e]' % (PSI_MIN, PSI_MAX)
if VER_DIV == 3:
coltitles = [
'Photon Energy [eV]', 'Photon Wavelength [A]', 'E/Ec',
'Flux_spol/Flux_total', 'Flux_ppol/Flux_total',
'Flux[Phot/sec/0.1%bw/mrad(Psi)]', 'Power[Watts/eV/mrad(Psi)]'
]
title = 'at Psi=%e mrad' % (PSI_MIN)
a6 = numpy.zeros((7, len(energy_ev)))
a1 = energy_ev
a6[0, :] = (a1)
a6[1, :] = srfunc.m2ev * 1e10 / (a1)
a6[2, :] = (a1) / ec_ev # E/Ec
a6[3, :] = numpy.array(a5par) / numpy.array(a5)
a6[4, :] = numpy.array(a5per) / numpy.array(a5)
a6[5, :] = numpy.array(a5)
a6[6, :] = numpy.array(a5) * 1e3 * srfunc.codata_ec
if TYPE_CALC == 1: # angular distributions over over all energies
angle_mrad = numpy.linspace(-PSI_MRAD_PLOT, +PSI_MRAD_PLOT,
NPOINTS) # angle grid
a6 = numpy.zeros((6, NPOINTS))
a6[0, :] = angle_mrad # angle in mrad
a6[1, :] = angle_mrad * gamma / 1e3 # Psi[rad]*Gamma
a6[2, :] = srfunc.sync_f(angle_mrad * gamma / 1e3)
a6[3, :] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=1)
a6[4, :] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=2)
a6[5, :] = srfunc.sync_ang(0,
angle_mrad,
i_a=CURRENT_A,
hdiv_mrad=HOR_DIV_MRAD,
e_gev=BEAM_ENERGY_GEV,
r_m=r_m)
coltitles = [
'Psi[mrad]', 'Psi[rad]*Gamma', 'F', 'F s-pol', 'F p-pol',
'Power[Watts/mrad(Psi)]'
]
if TYPE_CALC == 2: # angular distributions at a single energy
angle_mrad = numpy.linspace(-PSI_MRAD_PLOT, +PSI_MRAD_PLOT,
NPOINTS) # angle grid
a6 = numpy.zeros((7, NPOINTS))
a6[0, :] = angle_mrad # angle in mrad
a6[1, :] = angle_mrad * gamma / 1e3 # Psi[rad]*Gamma
a6[2, :] = srfunc.sync_f(angle_mrad * gamma / 1e3)
a6[3, :] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=1)
a6[4, :] = srfunc.sync_f(angle_mrad * gamma / 1e3, polarization=2)
tmp = srfunc.sync_ang(1,
angle_mrad,
energy=PHOT_ENERGY_MIN,
i_a=CURRENT_A,
hdiv_mrad=HOR_DIV_MRAD,
e_gev=BEAM_ENERGY_GEV,
ec_ev=ec_ev)
tmp.shape = -1
a6[5, :] = tmp
a6[6, :] = a6[5, :] * srfunc.codata_ec * 1e3
coltitles = [
'Psi[mrad]', 'Psi[rad]*Gamma', 'F', 'F s-pol', 'F p-pol',
'Flux[Ph/sec/0.1%bw/mrad(Psi)]', 'Power[Watts/eV/mrad(Psi)]'
]
if TYPE_CALC == 3: # angular,energy distributions flux
angle_mrad = numpy.linspace(-PSI_MRAD_PLOT, +PSI_MRAD_PLOT,
NPOINTS) # angle grid
if LOG_CHOICE == 0:
energy_ev = numpy.linspace(PHOT_ENERGY_MIN, PHOT_ENERGY_MAX,
NPOINTS) # photon energy grid
else:
energy_ev = numpy.logspace(numpy.log10(PHOT_ENERGY_MIN),
numpy.log10(PHOT_ENERGY_MAX),
NPOINTS) # photon energy grid
# fm[angle,energy]
fm = srfunc.sync_ene(4, energy_ev, ec_ev=ec_ev, e_gev=BEAM_ENERGY_GEV, i_a=CURRENT_A, \
hdiv_mrad=HOR_DIV_MRAD, psi_min=PSI_MIN, psi_max=PSI_MAX, psi_npoints=PSI_NPOINTS)
a = numpy.linspace(PSI_MIN, PSI_MAX, PSI_NPOINTS)
a6 = numpy.zeros((4, len(a) * len(energy_ev)))
ij = -1
for i in range(len(a)):
for j in range(len(energy_ev)):
ij += 1
a6[0, ij] = a[i]
a6[1, ij] = energy_ev[j]
a6[2, ij] = fm[i, j] * srfunc.codata_ec * 1e3
a6[3, ij] = fm[i, j]
coltitles = [
'Psi [mrad]', 'Photon Energy [eV]', 'Power [Watts/eV/mrad(Psi)]',
'Flux [Ph/sec/0.1%bw/mrad(Psi)]'
]
# write spec file
ncol = len(coltitles)
npoints = len(a6[0, :])
if FILE_DUMP:
outFile = "bm.spec"
f = open(outFile, "w")
f.write("#F " + outFile + "\n")
f.write("\n")
f.write("#S 1 bm results\n")
f.write("#N %d\n" % (ncol))
f.write("#L")
for i in range(ncol):
f.write(" " + coltitles[i])
f.write("\n")
for i in range(npoints):
f.write((" %e " * ncol + "\n") % (tuple(a6[:, i].tolist())))
f.close()
print("File written to disk: " + outFile)
if TYPE_CALC == 0:
if LOG_CHOICE == 0:
print("\nPower from integral of spectrum: %15.3f W" %
(a5.sum() * 1e3 * srfunc.codata_ec *
(energy_ev[1] - energy_ev[0])))
return a6.T, fm, a, energy_ev
#
# fits the dependence of the width of the emission vs energy to get an estimation of the sampling interval
#
# RENERGY = numpy.array([0.01,0.1,1.0])
RENERGY = numpy.logspace(
-6, 2, 100) # energies from 1e-6 to 100 times the critical energy
OUT = RENERGY * 0.0
for i, rEnergy in enumerate(RENERGY):
# rEnergy = 0.01
rAngle = numpy.linspace(-1000, 1000, 2000)
f_s = sync_f(rAngle, rEnergy=rEnergy, polarization=1, gauss=0, l2=1, l3=0)
#CALCULATE fwhm
tt = numpy.where(
f_s >= max(f_s) * 0.01) # tjis is the width at 0.01 of the height
if f_s[tt].size > 1:
binSize = rAngle[1] - rAngle[0]
fwhm = binSize * (tt[0][-1] - tt[0][0])
fwhm_coordinates = (rAngle[tt[0][0]], rAngle[tt[0][-1]])
print("FWHM: ", fwhm)
print("FWHM coordinates: ", fwhm_coordinates)
OUT[i] = fwhm_coordinates[1]
if False:
f_tot = sync_f(rAngle,
rEnergy=rEnergy,
def __calculate_rays(self,
user_unit_to_m=1.0,
F_COHER=0,
NRAYS=5000,
SEED=123456,
EPSI_DX=0.0,
EPSI_DZ=0.0,
psi_interval_in_units_one_over_gamma=None,
psi_interval_number_of_points=1001,
verbose=True):
"""
compute the rays in SHADOW matrix (shape (npoints,18) )
:param F_COHER: set this flag for coherent beam
:param user_unit_to_m: default 1.0 (m)
:return: rays, a numpy.array((npoits,18))
"""
if self.__result_cdf is None:
self.__calculate_radiation()
if verbose:
print(">>> Results of calculate_radiation")
print(">>> trajectory.shape: ",
self.__result_trajectory.shape)
print(">>> cdf: ", self.__result_cdf.keys())
wiggler = self.get_magnetic_structure()
syned_electron_beam = self.get_electron_beam()
sampled_photon_energy, sampled_theta, sampled_phi = self._sample_photon_energy_theta_and_phi(
NRAYS)
if verbose:
print(
">>> sampled sampled_photon_energy,sampled_theta,sampled_phi: ",
sampled_photon_energy, sampled_theta, sampled_phi)
if SEED != 0:
numpy.random.seed(SEED)
sigmas = syned_electron_beam.get_sigmas_all()
rays = numpy.zeros((NRAYS, 18))
#
# sample sizes (cols 1-3)
#
#
if wiggler._FLAG_EMITTANCE:
if numpy.array(numpy.abs(sigmas)).sum() == 0:
wiggler._FLAG_EMITTANCE = False
if wiggler._FLAG_EMITTANCE:
x_electron = numpy.random.normal(loc=0.0,
scale=sigmas[0],
size=NRAYS)
y_electron = 0.0
z_electron = numpy.random.normal(loc=0.0,
scale=sigmas[2],
size=NRAYS)
else:
x_electron = 0.0
y_electron = 0.0
z_electron = 0.0
# traj[0,ii] = yx[i]
# traj[1,ii] = yy[i]+j * per - start_len
# traj[2,ii] = 0.0
# traj[3,ii] = betax[i]
# traj[4,ii] = betay[i]
# traj[5,ii] = 0.0
# traj[6,ii] = curv[i]
# traj[7,ii] = bz[i]
PATH_STEP = self.__result_cdf["step"]
X_TRAJ = self.__result_cdf["x"]
Y_TRAJ = self.__result_cdf["y"]
SEEDIN = self.__result_cdf["cdf"]
ANGLE = self.__result_cdf["angle"]
CURV = self.__result_cdf["curv"]
EPSI_PATH = numpy.arange(
CURV.size) * PATH_STEP # self._result_trajectory[7,:]
# ! C We define the 5 arrays:
# ! C Y_X(5,N) ---> X(Y)
# ! C Y_XPRI(5,N) ---> X'(Y)
# ! C Y_CURV(5,N) ---> CURV(Y)
# ! C Y_PATH(5,N) ---> PATH(Y)
# ! C F(1,N) contains the array of Y values where the nodes are located.
# CALL PIECESPL(SEED_Y, Y_TEMP, NP_SY, IER)
# CALL CUBSPL (Y_X, X_TEMP, NP_TRAJ, IER)
# CALL CUBSPL (Y_Z, Z_TEMP, NP_TRAJ, IER)
# CALL CUBSPL (Y_XPRI, ANG_TEMP, NP_TRAJ, IER)
# CALL CUBSPL (Y_ZPRI, ANG2_TEMP, NP_TRAJ, IER)
# CALL CUBSPL (Y_CURV, C_TEMP, NP_TRAJ, IER)
# CALL CUBSPL (Y_PATH, P_TEMP, NP_TRAJ, IER)
SEED_Y = interp1d(SEEDIN, Y_TRAJ, kind='linear')
Y_X = interp1d(Y_TRAJ, X_TRAJ, kind='cubic')
Y_XPRI = interp1d(Y_TRAJ, ANGLE, kind='cubic')
Y_CURV = interp1d(Y_TRAJ, CURV, kind='cubic')
Y_PATH = interp1d(Y_TRAJ, EPSI_PATH, kind='cubic')
# ! C+++
# ! C Compute the path length to the middle (origin) of the wiggler.
# ! C We need to know the "center" of the wiggler coordinate.
# ! C input: Y_PATH ---> spline array
# ! C NP_TRAJ ---> # of points
# ! C Y_TRAJ ---> calculation point (ind. variable)
# ! C output: PATH0 ---> value of Y_PATH at X = Y_TRAJ. If
# ! C Y_TRAJ = 0, then PATH0 = 1/2 length
# ! C of trajectory.
# ! C+++
Y_TRAJ = 0.0
# CALL SPL_INT (Y_PATH, NP_TRAJ, Y_TRAJ, PATH0, IER)
PATH0 = Y_PATH(Y_TRAJ)
# ! C
# ! C These flags are set because of the original program structure.
# ! C
# F_PHOT = 0
# F_COLOR = 3
# FSOUR = 3
# FDISTR = 4
ws_ev, ws_f, tmp = wiggler_spectrum(
self.__result_trajectory,
enerMin=wiggler._EMIN,
enerMax=wiggler._EMAX,
nPoints=500,
# per=self.syned_wiggler.period_length(),
electronCurrent=syned_electron_beam._current,
outFile="",
elliptical=False)
ws_flux_per_ev = ws_f / (ws_ev * 1e-3)
samplerE = Sampler1D(ws_flux_per_ev, ws_ev)
sampled_energies, h, h_center = samplerE.get_n_sampled_points_and_histogram(
NRAYS)
###############################################
gamma = syned_electron_beam.gamma()
m2ev = codata.c * codata.h / codata.e
TOANGS = m2ev * 1e10
#####################################################
RAD_MIN = 1.0 / numpy.abs(self.__result_cdf["curv"]).max()
critical_energy = TOANGS * 3.0 * numpy.power(
gamma, 3) / 4.0 / numpy.pi / 1.0e10 * (1.0 / RAD_MIN)
if psi_interval_in_units_one_over_gamma is None:
c = numpy.array([-0.3600382,
0.11188709]) # see file fit_psi_interval.py
# x = numpy.log10(self._EMIN / critical_energy)
x = numpy.log10(
wiggler._EMIN /
(4 *
critical_energy)) # the wiggler that does not have an unique
# Ec. To be safe, I use 4 times the
# Ec vale to make the interval wider than for the BM
y_fit = c[1] + c[0] * x
psi_interval_in_units_one_over_gamma = 10**y_fit # this is the semi interval
psi_interval_in_units_one_over_gamma *= 4 # doubled interval
if psi_interval_in_units_one_over_gamma < 2:
psi_interval_in_units_one_over_gamma = 2
if verbose:
print(">>> psi_interval_in_units_one_over_gamma: ",
psi_interval_in_units_one_over_gamma)
angle_array_mrad = numpy.linspace(
-0.5 * psi_interval_in_units_one_over_gamma * 1e3 / gamma,
0.5 * psi_interval_in_units_one_over_gamma * 1e3 / gamma,
psi_interval_number_of_points)
# a = numpy.linspace(-0.6,0.6,150)
a = angle_array_mrad
#####################################################################
a8 = 1.0
hdiv_mrad = 1.0
# i_a = self.syned_electron_beam._current
#
# fm = sync_f(a*self.syned_electron_beam.gamma()/1e3,eene,polarization=0) * \
# numpy.power(eene,2)*a8*i_a*hdiv_mrad*numpy.power(self.syned_electron_beam._energy_in_GeV,2)
#
# plot(a,fm,title="sync_f")
#
# samplerAng = Sampler1D(fm,a)
#
# sampled_theta,hx,h = samplerAng.get_n_sampled_points_and_histogram(10*NRAYS)
# plot(h,hx)
for itik in range(NRAYS):
# ARG_Y = GRID(2,ITIK)
# CALL SPL_INT (SEED_Y, NP_SY, ARG_Y, Y_TRAJ, IER)
arg_y = numpy.random.random() # ARG_Y[itik]
Y_TRAJ = SEED_Y(arg_y)
# ! [email protected] 2014-05-19
# ! in wiggler some problems arise because spl_int
# ! does not return a Y value in the correct range.
# ! In those cases, we make a linear interpolation instead.
# if ((y_traj.le.y_temp(1)).or.(y_traj.gt.y_temp(NP_SY))) then
# y_traj_old = y_traj
# CALL LIN_INT (SEED_Y, NP_SY, ARG_Y, Y_TRAJ, IER)
# print*,'SOURCESYNC: bad y_traj from SPL_INT, corrected with LIN_SPL: ',y_traj_old,'=>',y_traj
# endif
#
# CALL SPL_INT (Y_X, NP_TRAJ, Y_TRAJ, X_TRAJ, IER)
# CALL SPL_INT (Y_XPRI, NP_TRAJ, Y_TRAJ, ANGLE, IER)
# CALL SPL_INT (Y_CURV, NP_TRAJ, Y_TRAJ, CURV, IER)
# CALL SPL_INT (Y_PATH, NP_TRAJ, Y_TRAJ, EPSI_PATH, IER)
# END IF
X_TRAJ = Y_X(Y_TRAJ)
ANGLE = Y_XPRI(Y_TRAJ)
CURV = Y_CURV(Y_TRAJ)
EPSI_PATH = Y_PATH(Y_TRAJ)
# print("\n>>><<<",arg_y,Y_TRAJ,X_TRAJ,ANGLE,CURV,EPSI_PATH)
# EPSI_PATH = EPSI_PATH - PATH0 ! now refer to wiggler's origin
# IF (CURV.LT.0) THEN
# POL_ANGLE = 90.0D0 ! instant orbit is CW
# ELSE
# POL_ANGLE = -90.0D0 ! CCW
# END IF
# IF (CURV.EQ.0) THEN
# R_MAGNET = 1.0D+20
# ELSE
# R_MAGNET = ABS(1.0D0/CURV)
# END IF
# POL_ANGLE = TORAD*POL_ANGLE
EPSI_PATH = EPSI_PATH - PATH0 # now refer to wiggler's origin
if CURV < 0:
POL_ANGLE = 90.0 # instant orbit is CW
else:
POL_ANGLE = -90.0 # CCW
if CURV == 0.0:
R_MAGNET = 1.0e20
else:
R_MAGNET = numpy.abs(1.0 / CURV)
POL_ANGLE = POL_ANGLE * numpy.pi / 180.0
# ! C
# ! C Compute the actual distance (EPSI_W*) from the orbital focus
# ! C
EPSI_WX = EPSI_DX + EPSI_PATH
EPSI_WZ = EPSI_DZ + EPSI_PATH
# ! BUG [email protected] found that these routine does not make the
# ! calculation correctly. Changed to new one BINORMAL
# !CALL GAUSS (SIGMAX, EPSI_X, EPSI_WX, XXX, E_BEAM(1), istar1)
# !CALL GAUSS (SIGMAZ, EPSI_Z, EPSI_WZ, ZZZ, E_BEAM(3), istar1)
# !
# ! calculation of the electrom beam moments at the current position
# ! (sX,sZ) = (epsi_wx,epsi_ez):
# ! <x2> = sX^2 + sigmaX^2
# ! <x x'> = sX sigmaXp^2
# ! <x'2> = sigmaXp^2 (same for Z)
#
# ! then calculate the new recalculated sigmas (rSigmas) and correlation rho of the
# ! normal bivariate distribution at the point in the electron trajectory
# ! rsigmaX = sqrt(<x2>)
# ! rsigmaXp = sqrt(<x'2>)
# ! rhoX = <x x'>/ (rsigmaX rsigmaXp) (same for Z)
#
# if (abs(sigmaX) .lt. 1e-15) then !no emittance
# sigmaXp = 0.0d0
# XXX = 0.0
# E_BEAM(1) = 0.0
# else
# sigmaXp = epsi_Xold/sigmaX ! true only at waist, use epsi_xOld as it has been redefined :(
# rSigmaX = sqrt( (epsi_wX**2) * (sigmaXp**2) + sigmaX**2 )
# rSigmaXp = sigmaXp
# if (abs(rSigmaX*rSigmaXp) .lt. 1e-15) then !no emittance
# rhoX = 0.0
# else
# rhoX = epsi_wx * sigmaXp**2 / (rSigmaX * rSigmaXp)
# endif
#
# CALL BINORMAL (rSigmaX, rSigmaXp, rhoX, XXX, E_BEAM(1), istar1)
# endif
#
if wiggler._FLAG_EMITTANCE:
# CALL BINORMAL (rSigmaX, rSigmaXp, rhoX, XXX, E_BEAM(1), istar1)
# [ c11 c12 ] [ sigma1^2 rho*sigma1*sigma2 ]
# [ c21 c22 ] = [ rho*sigma1*sigma2 sigma2^2 ]
sigmaX, sigmaXp, sigmaZ, sigmaZp = syned_electron_beam.get_sigmas_all(
)
epsi_wX = sigmaX * sigmaXp
rSigmaX = numpy.sqrt((epsi_wX**2) * (sigmaXp**2) + sigmaX**2)
rSigmaXp = sigmaXp
rhoX = epsi_wX * sigmaXp**2 / (rSigmaX * rSigmaXp)
mean = [0, 0]
cov = [[sigmaX**2, rhoX * sigmaX * sigmaXp],
[rhoX * sigmaX * sigmaXp,
sigmaXp**2]] # diagonal covariance
sampled_x, sampled_xp = numpy.random.multivariate_normal(
mean, cov, 1).T
# plot_scatter(sampled_x,sampled_xp)
XXX = sampled_x
E_BEAM1 = sampled_xp
epsi_wZ = sigmaZ * sigmaZp
rSigmaZ = numpy.sqrt((epsi_wZ**2) * (sigmaZp**2) + sigmaZ**2)
rSigmaZp = sigmaZp
rhoZ = epsi_wZ * sigmaZp**2 / (rSigmaZ * rSigmaZp)
mean = [0, 0]
cov = [[sigmaZ**2, rhoZ * sigmaZ * sigmaZp],
[rhoZ * sigmaZ * sigmaZp,
sigmaZp**2]] # diagonal covariance
sampled_z, sampled_zp = numpy.random.multivariate_normal(
mean, cov, 1).T
ZZZ = sampled_z
E_BEAM3 = sampled_zp
else:
sigmaXp = 0.0
XXX = 0.0
E_BEAM1 = 0.0
rhoX = 0.0
sigmaZp = 0.0
ZZZ = 0.0
E_BEAM3 = 0.0
#
# ! C
# ! C For normal wiggler, XXX is perpendicular to the electron trajectory at
# ! C the point defined by (X_TRAJ,Y_TRAJ,0).
# ! C
# IF (F_WIGGLER.EQ.1) THEN ! normal wiggler
# YYY = Y_TRAJ - XXX*SIN(ANGLE)
# XXX = X_TRAJ + XXX*COS(ANGLE)
YYY = Y_TRAJ - XXX * numpy.sin(ANGLE)
XXX = X_TRAJ + XXX * numpy.cos(ANGLE)
rays[itik, 0] = XXX
rays[itik, 1] = YYY
rays[itik, 2] = ZZZ
#
# directions
#
# ! C
# ! C Synchrotron source
# ! C Note. The angle of emission IN PLANE is the same as the one used
# ! C before. This will give rise to a source curved along the orbit.
# ! C The elevation angle is instead characteristic of the SR distribution.
# ! C The electron beam emittance is included at this stage. Note that if
# ! C EPSI = 0, we'll have E_BEAM = 0.0, with no changes.
# ! C
# IF (F_WIGGLER.EQ.3) ANGLE=0 ! Elliptical Wiggler.
# ANGLEX = ANGLE + E_BEAM(1)
# DIREC(1) = TAN(ANGLEX)
# IF (R_ALADDIN.LT.0.0D0) DIREC(1) = - DIREC(1)
# DIREC(2) = 1.0D0
# ARG_ANG = GRID(6,ITIK)
ANGLEX = ANGLE + E_BEAM1
DIREC1 = numpy.tan(ANGLEX)
DIREC2 = 1.0
# ! C
# ! C In the case of SR, we take into account the fact that the electron
# ! C trajectory is not orthogonal to the field. This will give a correction
# ! C to the photon energy. We can write it as a correction to the
# ! C magnetic field strength; this will linearly shift the critical energy
# ! C and, with it, the energy of the emitted photon.
# ! C
# E_TEMP(3) = TAN(E_BEAM(3))/COS(E_BEAM(1))
# E_TEMP(2) = 1.0D0
# E_TEMP(1) = TAN(E_BEAM(1))
# CALL NORM (E_TEMP,E_TEMP)
# CORREC = SQRT(1.0D0-E_TEMP(3)**2)
# 4400 CONTINUE
E_TEMP3 = numpy.tan(E_BEAM3) / numpy.cos(E_BEAM1)
E_TEMP2 = 1.0
E_TEMP1 = numpy.tan(E_BEAM1)
e_temp_norm = numpy.sqrt(E_TEMP1**2 + E_TEMP2**2 + E_TEMP3**2)
E_TEMP3 /= e_temp_norm
E_TEMP2 /= e_temp_norm
E_TEMP1 /= e_temp_norm
CORREC = numpy.sqrt(1.0 - E_TEMP3**2)
# IF (FDISTR.EQ.6) THEN
# CALL ALADDIN1 (ARG_ANG,ANGLEV,F_POL,IER)
# Q_WAVE = TWOPI*PHOTON(1)/TOCM*CORREC
# POL_DEG = ARG_ANG
# ELSE IF (FDISTR.EQ.4) THEN
# ARG_ENER = WRAN (ISTAR1)
# RAD_MIN = ABS(R_MAGNET)
#
# i1 = 1
# CALL WHITE &
# (RAD_MIN,CORREC,ARG_ENER,ARG_ANG,Q_WAVE,ANGLEV,POL_DEG,i1)
# END IF
RAD_MIN = numpy.abs(R_MAGNET)
# CALL WHITE (RAD_MIN,CORREC,ARG_ENER,ARG_ANG,Q_WAVE,ANGLEV,POL_DEG,i1)
ARG_ANG = numpy.random.random()
ARG_ENER = numpy.random.random()
# print(" >> R_MAGNET, DIREC",R_MAGNET,DIREC1,DIREC2)
# print(" >> RAD_MIN,CORREC,ARG_ENER,ARG_ANG,",RAD_MIN,CORREC,ARG_ENER,ARG_ANG)
#######################################################################
# gamma = self.syned_electron_beam.gamma()
# m2ev = codata.c * codata.h / codata.e
# TOANGS = m2ev * 1e10
# critical_energy = TOANGS*3.0*numpy.power(gamma,3)/4.0/numpy.pi/1.0e10*(1.0/RAD_MIN)
# sampled_photon_energy = sampled_energies[itik]
# wavelength = codata.h * codata.c / codata.e /sampled_photon_energy
# Q_WAVE = 2 * numpy.pi / (wavelength*1e2)
# print(" >> PHOTON ENERGY, Ec, lambda, Q: ",sampled_photon_energy,critical_energy,wavelength*1e10,Q_WAVE)
###################################################################################
sampled_photon_energy = sampled_energies[itik]
# wavelength = codata.h * codata.c / codata.e /sampled_photon_energy
critical_energy = TOANGS * 3.0 * numpy.power(
gamma, 3) / 4.0 / numpy.pi / 1.0e10 * (1.0 / RAD_MIN)
eene = sampled_photon_energy / critical_energy
# TODO: remove old after testing...
method = "new"
if method == "old":
# fm = sync_f(a*1e-3*self.syned_electron_beam.gamma(),eene,polarization=0) * \
# numpy.power(eene,2)*a8*self.syned_electron_beam._current*hdiv_mrad * \
# numpy.power(self.syned_electron_beam._energy_in_GeV,2)
fm_s = sync_f(a*1e-3*self.syned_electron_beam.gamma(),eene,polarization=1) * \
numpy.power(eene,2)*a8*self.syned_electron_beam._current*hdiv_mrad * \
numpy.power(self.syned_electron_beam._energy_in_GeV,2)
fm_p = sync_f(a*1e-3*self.syned_electron_beam.gamma(),eene,polarization=2) * \
numpy.power(eene,2)*a8*self.syned_electron_beam._current*hdiv_mrad * \
numpy.power(self.syned_electron_beam._energy_in_GeV,2)
else:
fm_s, fm_p = sync_f_sigma_and_pi(
a * 1e-3 * syned_electron_beam.gamma(), eene)
cte = eene**2 * a8 * syned_electron_beam._current * hdiv_mrad * syned_electron_beam._energy_in_GeV**2
fm_s *= cte
fm_p *= cte
fm = fm_s + fm_p
fm_pol = numpy.zeros_like(fm)
for i in range(fm_pol.size):
if fm[i] == 0.0:
fm_pol[i] = 0
else:
fm_pol[i] = fm_s[i] / fm[i]
fm.shape = -1
fm_s.shape = -1
fm_pol.shape = -1
pol_deg_interpolator = interp1d(a * 1e-3, fm_pol)
samplerAng = Sampler1D(fm, a * 1e-3)
# samplerPol = Sampler1D(fm_s/fm,a*1e-3)
# plot(a*1e-3,fm_s/fm)
if fm.min() == fm.max():
print("Warning: cannot compute divergence for ray index %d" %
itik)
sampled_theta = 0.0
else:
sampled_theta = samplerAng.get_sampled(ARG_ENER)
sampled_pol_deg = pol_deg_interpolator(sampled_theta)
# print("sampled_theta: ",sampled_theta, "sampled_energy: ",sampled_photon_energy, "sampled pol ",sampled_pol_deg)
ANGLEV = sampled_theta
ANGLEV += E_BEAM3
# IF (ANGLEV.LT.0.0) I_CHANGE = -1
# ANGLEV = ANGLEV + E_BEAM(3)
# ! C
# ! C Test if the ray is within the specified limits
# ! C
# IF (FGRID.EQ.0.OR.FGRID.EQ.2) THEN
# IF (ANGLEV.GT.VDIV1.OR.ANGLEV.LT.-VDIV2) THEN
# ARG_ANG = WRAN(ISTAR1)
# ! C
# ! C If it is outside the range, then generate another ray.
# ! C
# GO TO 4400
# END IF
# END IF
# DIREC(3) = TAN(ANGLEV)/COS(ANGLEX)
DIREC3 = numpy.tan(ANGLEV) / numpy.cos(ANGLEX)
# IF (F_WIGGLER.EQ.3) THEN
# CALL ROTATE (DIREC, ANGLE3,ANGLE2,ANGLE1,DIREC)
# END IF
# CALL NORM (DIREC,DIREC)
direc_norm = numpy.sqrt(DIREC1**2 + DIREC2**2 + DIREC3**2)
DIREC1 /= direc_norm
DIREC2 /= direc_norm
DIREC3 /= direc_norm
rays[itik, 3] = DIREC1 # VX
rays[itik, 4] = DIREC2 # VY
rays[itik, 5] = DIREC3 # VZ
if user_unit_to_m != 1.0:
rays[:, 0] /= user_unit_to_m
rays[:, 1] /= user_unit_to_m
rays[:, 2] /= user_unit_to_m
#
# sample divergences (cols 4-6): the Shadow way
#
#
# electric field vectors (cols 7-9, 16-18) and phases (cols 14-15)
#
# ! C
# ! C ---------------------------------------------------------------------
# ! C POLARIZATION
# ! C
# ! C Generates the polarization of the ray. This is defined on the
# ! C source plane, so that A_VEC is along the X-axis and AP_VEC is along Z-axis.
# ! C Then care must be taken so that A will be perpendicular to the ray
# ! C direction.
# ! C
# ! C
# A_VEC(1) = 1.0D0
# A_VEC(2) = 0.0D0
# A_VEC(3) = 0.0D0
DIREC = rays[:, 3:6].copy()
A_VEC = numpy.zeros_like(DIREC)
A_VEC[:, 0] = 1.0
# ! C
# ! C Rotate A_VEC so that it will be perpendicular to DIREC and with the
# ! C right components on the plane.
# ! C
# CALL CROSS (A_VEC,DIREC,A_TEMP)
A_TEMP = self._cross(A_VEC, DIREC)
# CALL CROSS (DIREC,A_TEMP,A_VEC)
A_VEC = self._cross(DIREC, A_TEMP)
# CALL NORM (A_VEC,A_VEC)
A_VEC = self._norm(A_VEC)
# CALL CROSS (A_VEC,DIREC,AP_VEC)
AP_VEC = self._cross(A_VEC, DIREC)
# CALL NORM (AP_VEC,AP_VEC)
AP_VEC = self._norm(AP_VEC)
#
# obtain polarization for each ray (interpolation)
#
POL_DEG = sampled_pol_deg
DENOM = numpy.sqrt(1.0 - 2.0 * POL_DEG + 2.0 * POL_DEG**2)
AX = POL_DEG / DENOM
for i in range(3):
A_VEC[:, i] *= AX
AZ = (1.0 - POL_DEG) / DENOM
for i in range(3):
AP_VEC[:, i] *= AZ
rays[:, 6:9] = A_VEC
rays[:, 15:18] = AP_VEC
#
# ! C
# ! C Now the phases of A_VEC and AP_VEC.
# ! C
#
POL_ANGLE = 0.5 * numpy.pi
if F_COHER == 1:
PHASEX = 0.0
else:
PHASEX = numpy.random.random(NRAYS) * 2 * numpy.pi
# PHASEZ = PHASEX + POL_ANGLE * numpy.sign(ANGLEV)
rays[:, 13] = 0.0 # PHASEX
rays[:, 14] = 0.0 # PHASEZ
# set flag (col 10)
rays[:, 9] = 1.0
#
# photon energy (col 11)
#
# A2EV = 2.0*numpy.pi/(codata.h*codata.c/codata.e*1e2)
sampled_photon_energy = sampled_energies
wavelength = codata.h * codata.c / codata.e / sampled_photon_energy
Q_WAVE = 2 * numpy.pi / (wavelength * 1e2)
rays[:, 10] = Q_WAVE # sampled_photon_energy * A2EV
# col 12 (ray index)
rays[:, 11] = 1 + numpy.arange(NRAYS)
# col 13 (optical path)
rays[:, 11] = 0.0
return rays
# psi energy
#
psi_max = 800e-6 #10 / gamma
PSI = numpy.linspace(-psi_max, psi_max, 100)
codata_mee = 1e-6 * codata.m_e * codata.c**2 / codata.e
gamma = ener_gev * 1e3 / codata_mee
if False:
PSITHETA = numpy.zeros((PSI.size, XP.size))
POWER = numpy.zeros_like(ENERGIES)
for i, energy in enumerate(ENERGIES):
PSITHETA = sync_f(PSI * gamma,
rEnergy=energy / Ec,
polarization=0,
gauss=0,
l2=1,
l3=0)
PSITHETA /= PSITHETA.sum() * (PSI[1] - PSI[0]) * (XP[1] - XP[0])
PSITHETA *= w[i]
POWER[i] = PSITHETA.sum() * (PSI[1] - PSI[0]) * (XP[1] - XP[0])
plot_image(PSITHETA.T,
1e6 * XP,
1e6 * PSI,
aspect='auto',
title="Energy: %f eV " % energy,
ytitle="Psi / urad",
xtitle="theta / urad")
plot(ENERGIES, POWER) #,e,w,legend=["integrated","reference"])