def run(intensity, chroma=0, i_oct=0):
    '''Arguments:
        - intensity: integer number of charges in beam
        - chroma: first-order chromaticity Q'_{x,y}, identical
          for both transverse planes
        - i_oct: octupole current in A (positive i_oct means
          LOF = i_oct > 0 and LOD = -i_oct < 0)
    '''

    # BEAM AND MACHINE PARAMETERS
    # ============================
    from LHC import LHC
    # energy set above will enter get_nonlinear_params p0
    assert machine_configuration == 'LHC-injection'
    machine = LHC(n_segments=1,
                  machine_configuration=machine_configuration,
                  **get_nonlinear_params(chroma=chroma,
                                         i_oct=i_oct,
                                         p0=0.45e12 * e / c))

    # BEAM
    # ====
    epsn_x = 3.e-6  # normalised horizontal emittance
    epsn_y = 3.e-6  # normalised vertical emittance
    sigma_z = 1.2e-9 * machine.beta * c / 4.  # RMS bunch length in meters

    bunch = machine.generate_6D_Gaussian_bunch(n_macroparticles,
                                               intensity,
                                               epsn_x,
                                               epsn_y,
                                               sigma_z=sigma_z,
                                               matched=True)

    print("\n--> Bunch length and emittance: {:g} m, {:g} eVs.".format(
        bunch.sigma_z(), bunch.epsn_z()))

    # CREATE BEAM SLICERS
    # ===================
    slicer_for_slicemonitor = UniformBinSlicer(50,
                                               z_cuts=(-3 * sigma_z,
                                                       3 * sigma_z))
    slicer_for_wakefields = UniformBinSlicer(
        50,
        z_cuts=(-3 * sigma_z, 3 * sigma_z),
        circumference=machine.circumference,
        h_bunch=machine.h_bunch)
    print("Slice")

    # CREATE WAKES
    # ============
    wake_table1 = WakeTable(
        wakefile,
        [
            'time',
            'dipole_x',
            'dipole_y',
            # 'quadrupole_x', 'quadrupole_y',
            'noquadrupole_x',
            'noquadrupole_y',
            # 'dipole_xy', 'dipole_yx',
            'nodipole_xy',
            'nodipole_yx',
        ])
    wake_field = WakeField(slicer_for_wakefields, wake_table1, mpi=True)

    # CREATE DAMPER
    # =============
    dampingtime = 50.
    gain = 2. / dampingtime
    damper = IdealBunchFeedback(gain)

    # CREATE MONITORS
    # ===============
    try:
        bucket = machine.longitudinal_map.get_bucket(bunch)
    except AttributeError:
        bucket = machine.rfbucket

    simulation_parameters_dict = {
        'gamma': machine.gamma,
        'intensity': intensity,
        'Qx': machine.Q_x,
        'Qy': machine.Q_y,
        'Qs': bucket.Q_s,
        'beta_x': bunch.beta_Twiss_x(),
        'beta_y': bunch.beta_Twiss_y(),
        'beta_z': bucket.beta_z,
        'epsn_x': bunch.epsn_x(),
        'epsn_y': bunch.epsn_y(),
        'sigma_z': bunch.sigma_z(),
    }
    bunchmonitor = BunchMonitor(
        outputpath + '/bunchmonitor_{:04d}_chroma={:g}'.format(it, chroma),
        n_turns,
        simulation_parameters_dict,
        write_buffer_to_file_every=512,
        buffer_size=4096)
    slicemonitor = SliceMonitor(
        outputpath + '/slicemonitor_{:04d}_chroma={:g}'.format(it, chroma),
        n_turns_slicemon,
        slicer_for_slicemonitor,
        simulation_parameters_dict,
        write_buffer_to_file_every=1,
        buffer_size=n_turns_slicemon)

    # TRACKING LOOP
    # =============
    # machine.one_turn_map.append(damper)
    machine.one_turn_map.append(wake_field)

    # for slice statistics monitoring:
    s_cnt = 0
    monitorswitch = False

    print('\n--> Begin tracking...\n')

    # GO!!!
    for i in range(n_turns):

        t0 = time.clock()

        # track the beam around the machine for one turn:
        machine.track(bunch)

        ex, ey, ez = bunch.epsn_x(), bunch.epsn_y(), bunch.epsn_z()
        mx, my, mz = bunch.mean_x(), bunch.mean_y(), bunch.mean_z()

        # monitor the bunch statistics (once per turn):
        bunchmonitor.dump(bunch)

        # if the centroid becomes unstable (>1cm motion)
        # then monitor the slice statistics:
        if not monitorswitch:
            if mx > 1e-2 or my > 1e-2 or i > n_turns - n_turns_slicemon:
                print("--> Activate slice monitor")
                monitorswitch = True
        else:
            if s_cnt < n_turns_slicemon:
                slicemonitor.dump(bunch)
                s_cnt += 1

        # stop the tracking as soon as we have not-a-number values:
        if not all(np.isfinite(c) for c in [ex, ey, ez, mx, my, mz]):
            print('*** STOPPING SIMULATION: non-finite bunch stats!')
            break

        # print status all 1000 turns:
        if i % 100 == 0:
            t1 = time.clock()
            print('Emittances: ({:.3g}, {:.3g}, {:.3g}) '
                  '& Centroids: ({:.3g}, {:.3g}, {:.3g})'
                  '@ turn {:d}, {:g} ms, {:s}'.format(
                      ex, ey, ez, mx, my, mz, i, (t1 - t0) * 1e3,
                      time.strftime("%d/%m/%Y %H:%M:%S", time.localtime())))

    print('\n*** Successfully completed!')
Example #2
0
def run(intensity, chroma=0, i_oct=0):
    '''Arguments:
        - intensity: integer number of charges in beam
        - chroma: first-order chromaticity Q'_{x,y}, identical
          for both transverse planes
        - i_oct: octupole current in A (positive i_oct means
          LOF = i_oct > 0 and LOD = -i_oct < 0)
    '''

    # BEAM AND MACHINE PARAMETERS
    # ============================
    from LHC import LHC
    # energy set above will enter get_nonlinear_params p0
    assert machine_configuration == 'LHC-injection'
    machine = LHC(n_segments=1,
                  machine_configuration=machine_configuration,
                  **get_nonlinear_params(chroma=chroma,
                                         i_oct=i_oct,
                                         p0=0.45e12 * e / c))

    # BEAM
    # ====

    #print(filling_scheme)

    epsn_x = 3.e-6  # normalised horizontal emittance
    epsn_y = 3.e-6  # normalised vertical emittance
    sigma_z = 1.2e-9 * machine.beta * c / 4.  # RMS bunch length in meters

    beam = machine.generate_6D_Gaussian_bunch(n_macroparticles,
                                              intensity,
                                              epsn_x,
                                              epsn_y,
                                              sigma_z=sigma_z,
                                              matched=True,
                                              filling_scheme=filling_scheme)

    bunch_list = beam.split_to_views()

    for b in bunch_list:
        if b.bucket_id[0] < batch_length:
            b.x += 1e-3
            b.y += 1e-3

    bunch = bunch_list[0]

    print("\n--> Bunch length and emittance: {:g} m, {:g} eVs.".format(
        bunch.sigma_z(), bunch.epsn_z()))

    # CREATE BEAM SLICERS
    # ===================
    slicer_for_slicemonitor = UniformBinSlicer(50,
                                               z_cuts=(-3 * sigma_z,
                                                       3 * sigma_z))
    slicer_for_wakefields = UniformBinSlicer(
        50,
        z_cuts=(-3 * sigma_z, 3 * sigma_z),
        circumference=machine.circumference,
        h_bunch=machine.h_bunch)

    # CREATE WAKES
    # ============
    wake_table1 = WakeTable(
        wakefile,
        [
            'time',
            'dipole_x',
            'dipole_y',
            # 'quadrupole_x', 'quadrupole_y',
            'noquadrupole_x',
            'noquadrupole_y',
            # 'dipole_xy', 'dipole_yx',
            'nodipole_xy',
            'nodipole_yx',
        ])
    wake_field = WakeField(slicer_for_wakefields,
                           wake_table1,
                           mpi='linear_mpi_full_ring_fft')

    # CREATE DAMPER
    # =============
    from PyHEADTAIL_feedback.feedback import OneboxFeedback
    from PyHEADTAIL_feedback.processors.multiplication import ChargeWeighter
    from PyHEADTAIL_feedback.processors.register import TurnFIRFilter
    from PyHEADTAIL_feedback.processors.convolution import Lowpass, FIRFilter
    from PyHEADTAIL_feedback.processors.resampling import DAC, HarmonicADC, BackToOriginalBins, Upsampler
    from MD4063_filter_functions import calculate_coefficients_3_tap, calculate_hilbert_notch_coefficients
    #    from PyHEADTAIL_feedback.processors.addition import NoiseGenerator

    dampingtime = 20.
    gain = 2. / dampingtime

    lowpass100kHz = [
        1703, 1169, 1550, 1998, 2517, 3108, 3773, 4513, 5328, 6217, 7174, 8198,
        9282, 10417, 11598, 12813, 14052, 15304, 16555, 17793, 19005, 20176,
        21294, 22345, 23315, 24193, 24969, 25631, 26171, 26583, 26860, 27000,
        27000, 26860, 26583, 26171, 25631, 24969, 24193, 23315, 22345, 21294,
        20176, 19005, 17793, 16555, 15304, 14052, 12813, 11598, 10417, 9282,
        8198, 7174, 6217, 5328, 4513, 3773, 3108, 2517, 1998, 1550, 1169, 1703
    ]

    lowpassEnhanced = [
        490, 177, -478, -820, -370, 573, 1065, 428, -909, -1632, -799, 1015,
        2015, 901, -1592, -3053, -1675, 1642, 3670, 1841, -2828, -6010, -3929,
        2459, 7233, 4322, -6384, -17305, -18296, -5077, 16097, 32000, 32000,
        16097, -5077, -18296, -17305, -6384, 4322, 7233, 2459, -3929, -6010,
        -2828, 1841, 3670, 1642, -1675, -3053, -1592, 901, 2015, 1015, -799,
        -1632, -909, 428, 1065, 573, -370, -820, -478, 177, 490
    ]

    lowpass20MHz = [
        38, 118, 182, 112, -133, -389, -385, -45, 318, 257, -259, -665, -361,
        473, 877, 180, -996, -1187, 162, 1670, 1329, -954, -2648, -1219, 2427,
        4007, 419, -5623, -6590, 2893, 19575, 32700, 32700, 19575, 2893, -6590,
        -5623, 419, 4007, 2427, -1219, -2648, -954, 1329, 1670, 162, -1187,
        -996, 180, 877, 473, -361, -665, -259, 257, 318, -45, -385, -389, -133,
        112, 182, 118, 38
    ]

    phaseEqualizer = [
        2, 4, 7, 10, 12, 16, 19, 22, 27, 31, 36, 42, 49, 57, 67, 77, 90, 104,
        121, 141, 164, 191, 223, 261, 305, 358, 422, 498, 589, 700, 836, 1004,
        1215, 1483, 1832, 2301, 2956, 3944, 5600, 9184, 25000, -16746, -4256,
        -2056, -1195, -769, -523, -372, -271, -202, -153, -118, -91, -71, -56,
        -44, -34, -27, -20, -15, -11, -7, -4, -1
    ]

    FIR_phase_filter = np.loadtxt(
        './injection_error_input_data/FIR_Phase_40MSPS.csv')
    FIR_phase_filter = np.array(phaseEqualizer)
    FIR_phase_filter = FIR_phase_filter / float(np.sum(FIR_phase_filter))

    FIR_gain_filter = np.array(lowpass20MHz)
    FIR_gain_filter = FIR_gain_filter / float(np.sum(lowpass20MHz))

    # Cut-off frequency of the kicker system
    fc = 1.0e6
    ADC_bits = 16
    ADC_range = (-1e-3, 1e-3)

    # signal processing delay in turns before the first measurements is applied
    delay = 1
    extra_adc_bins = 10
    # betatron phase advance between the pickup and the kicker. The value 0.25
    # corresponds to the 90 deg phase change from from the pickup measurements
    # in x-plane to correction kicks in xp-plane.

    additional_phase = 0.25  # Kicker-to-pickup phase advance 0 deg
    #    additional_phase = 0. # Kicker-to-pickup phase advance 90 deg

    f_RF = 1. / (machine.circumference / c / (float(machine.h_RF)))
    #    turn_phase_filter_x = calculate_hilbert_notch_coefficients(machine.Q_x, delay, additional_phase)
    #    turn_phase_filter_y = calculate_hilbert_notch_coefficients(machine.Q_y, delay, additional_phase)

    turn_phase_filter_x = calculate_coefficients_3_tap(machine.Q_x, delay,
                                                       additional_phase)
    turn_phase_filter_y = calculate_coefficients_3_tap(machine.Q_y, delay,
                                                       additional_phase)

    print('f_RF: ' + str(f_RF))

    processors_detailed_x = [
        Bypass(),
        ChargeWeighter(normalization='segment_average'),
        #         NoiseGenerator(RMS_noise_level, debug=False),
        HarmonicADC(1 * f_RF / 10.,
                    ADC_bits,
                    ADC_range,
                    n_extras=extra_adc_bins),
        TurnFIRFilter(turn_phase_filter_x, machine.Q_x, delay=delay),
        FIRFilter(FIR_phase_filter, zero_tap=40),
        Upsampler(3, [1.5, 1.5, 0]),
        FIRFilter(FIR_gain_filter, zero_tap=34),
        DAC(ADC_bits, ADC_range),
        Lowpass(fc, f_cutoff_2nd=10 * fc),
        BackToOriginalBins(),
    ]

    processors_detailed_y = [
        Bypass(),
        ChargeWeighter(normalization='segment_average'),
        #         NoiseGenerator(RMS_noise_level, debug=False),
        HarmonicADC(1 * f_RF / 10.,
                    ADC_bits,
                    ADC_range,
                    n_extras=extra_adc_bins),
        TurnFIRFilter(turn_phase_filter_y, machine.Q_y, delay=delay),
        FIRFilter(FIR_phase_filter, zero_tap=40),
        Upsampler(3, [1.5, 1.5, 0]),
        FIRFilter(FIR_gain_filter, zero_tap=34),
        DAC(ADC_bits, ADC_range),
        Lowpass(fc, f_cutoff_2nd=10 * fc),
        BackToOriginalBins(),
    ]

    # Kicker-to-pickup phase advance 0 deg
    damper = OneboxFeedback(gain,
                            slicer_for_wakefields,
                            processors_detailed_x,
                            processors_detailed_y,
                            pickup_axis='displacement',
                            kicker_axis='divergence',
                            mpi=True,
                            beta_x=machine.beta_x,
                            beta_y=machine.beta_y)

    #    # Kicker-to-pickup phase advance 90 deg
    #    damper = OneboxFeedback(gain,slicer_for_wakefields,
    #                                  processors_detailed_x,processors_detailed_y, mpi=True,
    #                            pickup_axis='displacement', kicker_axis='displacement')

    # CREATE MONITORS
    # ===============

    try:
        bucket = machine.longitudinal_map.get_bucket(bunch)
    except AttributeError:
        bucket = machine.rfbucket

    simulation_parameters_dict = {
        'gamma': machine.gamma,
        'intensity': intensity,
        'Qx': machine.Q_x,
        'Qy': machine.Q_y,
        'Qs': bucket.Q_s,
        'beta_x': bunch.beta_Twiss_x(),
        'beta_y': bunch.beta_Twiss_y(),
        'beta_z': bucket.beta_z,
        'epsn_x': bunch.epsn_x(),
        'epsn_y': bunch.epsn_y(),
        'sigma_z': bunch.sigma_z(),
    }
    bunchmonitor = BunchMonitor(
        outputpath + '/bunchmonitor_{:04d}_chroma={:g}'.format(it, chroma),
        n_turns,
        simulation_parameters_dict,
        write_buffer_to_file_every=512,
        buffer_size=4096,
        mpi=True,
        filling_scheme=filling_scheme)
    #    slicemonitor = SliceMonitor(
    #        outputpath+'/slicemonitor_{:04d}_chroma={:g}_bunch_{:04d}'.format(it, chroma, bunch.bucket_id[0]),
    #        n_turns_slicemon,
    #        slicer_for_slicemonitor, simulation_parameters_dict,
    #        write_buffer_to_file_every=1, buffer_size=n_turns_slicemon)

    # TRACKING LOOP
    # =============
    machine.one_turn_map.append(damper)
    machine.one_turn_map.append(wake_field)

    # for slice statistics monitoring:
    s_cnt = 0
    monitorswitch = False

    print('\n--> Begin tracking...\n')

    # GO!!!
    for i in range(n_turns):

        t0 = time.clock()

        # track the beam around the machine for one turn:
        machine.track(beam)

        bunch_list = beam.split_to_views()
        bunch = bunch_list[0]

        ex, ey, ez = bunch.epsn_x(), bunch.epsn_y(), bunch.epsn_z()
        mx, my, mz = bunch.mean_x(), bunch.mean_y(), bunch.mean_z()

        # monitor the bunch statistics (once per turn):
        bunchmonitor.dump(beam)

        # if the centroid becomes unstable (>1cm motion)
        # then monitor the slice statistics:
        if not monitorswitch:
            if mx > 1e-2 or my > 1e-2 or i > n_turns - n_turns_slicemon:
                print("--> Activate slice monitor")
                monitorswitch = True
        else:
            if s_cnt < n_turns_slicemon:
                #                slicemonitor.dump(bunch)
                s_cnt += 1

        # stop the tracking as soon as we have not-a-number values:
        if not all(np.isfinite(c) for c in [ex, ey, ez, mx, my, mz]):
            print('*** STOPPING SIMULATION: non-finite bunch stats!')
            break

        # print status all 1000 turns:
        if i % 100 == 0:
            t1 = time.clock()
            print('Emittances: ({:.3g}, {:.3g}, {:.3g}) '
                  '& Centroids: ({:.3g}, {:.3g}, {:.3g})'
                  '@ turn {:d}, {:g} ms, {:s}'.format(
                      ex, ey, ez, mx, my, mz, i, (t1 - t0) * 1e3,
                      time.strftime("%d/%m/%Y %H:%M:%S", time.localtime())))

    print('\n*** Successfully completed!')
machine.one_turn_map.insert(ix, machine.longitudinal_map)
bunch = machine.generate_6D_Gaussian_bunch_matched(macroparticlenumber_track,
                                                   intensity,
                                                   epsn_x,
                                                   epsn_y,
                                                   sigma_z=sigma_z)

beam_x = []
beam_y = []
beam_z = []
sx, sy, sz = [], [], []
epsx, epsy, epsz = [], [], []
for i_turn in range(n_turns):
    print('Turn %d/%d' % (i_turn, n_turns))
    machine.track(bunch)

    beam_x.append(bunch.mean_x())
    beam_y.append(bunch.mean_y())
    beam_z.append(bunch.mean_z())
    sx.append(bunch.sigma_x())
    sy.append(bunch.sigma_y())
    sz.append(bunch.sigma_z())
    epsx.append(bunch.epsn_x() * 1e6)
    epsy.append(bunch.epsn_y() * 1e6)
    epsz.append(bunch.epsn_z())

plt.figure(2, figsize=(16, 8), tight_layout=True)
plt.subplot(2, 3, 1)
plt.plot(beam_x)
plt.ylabel('x [m]')
Example #4
0
plt.show()


machine.one_turn_map.insert(ix, machine.longitudinal_map)
bunch   = machine.generate_6D_Gaussian_bunch_matched(
    macroparticlenumber_track, intensity, epsn_x, epsn_y, sigma_z=sigma_z)

beam_x = []
beam_y = []
beam_z = []
sx, sy, sz = [], [], []
epsx, epsy, epsz = [], [], []
for i_turn in xrange(n_turns):
    print 'Turn %d/%d'%(i_turn, n_turns)
    machine.track(bunch)

    beam_x.append(bunch.mean_x())
    beam_y.append(bunch.mean_y())
    beam_z.append(bunch.mean_z())
    sx.append(bunch.sigma_x())
    sy.append(bunch.sigma_y())
    sz.append(bunch.sigma_z())
    epsx.append(bunch.epsn_x()*1e6)
    epsy.append(bunch.epsn_y()*1e6)
    epsz.append(bunch.epsn_z())

plt.figure(2, figsize=(16, 8), tight_layout=True)
plt.subplot(2,3,1)
plt.plot(beam_x)
plt.ylabel('x [m]');plt.xlabel('Turn')