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#!/usr/bin/env python3 | ||
# | ||
# Copyright 2022-2023 ImpactX contributors | ||
# Authors: Axel Huebl, Chad Mitchell | ||
# License: BSD-3-Clause-LBNL | ||
# | ||
|
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import numpy as np | ||
import openpmd_api as io | ||
from scipy.stats import moment | ||
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def get_moments(beam): | ||
"""Calculate standard deviations of beam position & momenta | ||
and emittance values | ||
Returns | ||
------- | ||
sigx, sigy, sigt, emittance_x, emittance_y, emittance_t | ||
""" | ||
sigx = moment(beam["position_x"], moment=2) ** 0.5 # variance -> std dev. | ||
sigpx = moment(beam["momentum_x"], moment=2) ** 0.5 | ||
sigy = moment(beam["position_y"], moment=2) ** 0.5 | ||
sigpy = moment(beam["momentum_y"], moment=2) ** 0.5 | ||
sigt = moment(beam["position_t"], moment=2) ** 0.5 | ||
sigpt = moment(beam["momentum_t"], moment=2) ** 0.5 | ||
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epstrms = beam.cov(ddof=0) | ||
emittance_x = (sigx**2 * sigpx**2 - epstrms["position_x"]["momentum_x"] ** 2) ** 0.5 | ||
emittance_y = (sigy**2 * sigpy**2 - epstrms["position_y"]["momentum_y"] ** 2) ** 0.5 | ||
emittance_t = (sigt**2 * sigpt**2 - epstrms["position_t"]["momentum_t"] ** 2) ** 0.5 | ||
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return (sigx, sigy, sigt, emittance_x, emittance_y, emittance_t) | ||
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# initial/final beam | ||
series = io.Series("diags/openPMD/monitor.h5", io.Access.read_only) | ||
last_step = list(series.iterations)[-1] | ||
initial = series.iterations[1].particles["beam"].to_df() | ||
final = series.iterations[last_step].particles["beam"].to_df() | ||
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series_lost = io.Series("diags/openPMD/particles_lost.h5", io.Access.read_only) | ||
particles_lost = series_lost.iterations[0].particles["beam"].to_df() | ||
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# compare number of particles | ||
num_particles = 10000 | ||
assert num_particles == len(initial) | ||
# we lost particles in apertures | ||
assert num_particles > len(final) | ||
assert num_particles == len(particles_lost) + len(final) | ||
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print("Initial Beam:") | ||
sigx, sigy, sigt, emittance_x, emittance_y, emittance_t = get_moments(initial) | ||
print(f" sigx={sigx:e} sigy={sigy:e} sigt={sigt:e}") | ||
print( | ||
f" emittance_x={emittance_x:e} emittance_y={emittance_y:e} emittance_t={emittance_t:e}" | ||
) | ||
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atol = 0.0 # ignored | ||
rtol = 1.8 * num_particles**-0.5 # from random sampling of a smooth distribution | ||
print(f" rtol={rtol} (ignored: atol~={atol})") | ||
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assert np.allclose( | ||
[sigx, sigy, sigt, emittance_x, emittance_y, emittance_t], | ||
[ | ||
1.559531175539e-3, | ||
2.205510139392e-3, | ||
1.0e-3, | ||
1.0e-6, | ||
2.0e-6, | ||
1.0e-6, | ||
], | ||
rtol=rtol, | ||
atol=atol, | ||
) | ||
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# particle-wise comparison against the rectangular aperture boundary | ||
xmax = 1.0e-3 | ||
ymax = 1.5e-3 | ||
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# kept particles | ||
dx = abs(final["position_x"]) - xmax | ||
dy = abs(final["position_y"]) - ymax | ||
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print() | ||
print(f" x_max={final['position_x'].max()}") | ||
print(f" x_min={final['position_x'].min()}") | ||
assert np.greater_equal(dx.max(), 0.0) | ||
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print(f" y_max={final['position_y'].max()}") | ||
print(f" y_min={final['position_y'].min()}") | ||
assert np.greater_equal(dy.max(), 0.0) | ||
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# lost particles | ||
dx = abs(particles_lost["position_x"]) - xmax | ||
dy = abs(particles_lost["position_y"]) - ymax | ||
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print() | ||
print(f" x_max={particles_lost['position_x'].max()}") | ||
print(f" x_min={particles_lost['position_x'].min()}") | ||
assert np.less_equal(dx.max(), 0.0) | ||
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print(f" y_max={particles_lost['position_y'].max()}") | ||
print(f" y_min={particles_lost['position_y'].min()}") | ||
assert np.less_equal(dy.max(), 0.0) | ||
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# check that s is set correctly | ||
lost_at_s = particles_lost["s_lost"] | ||
drift_s = np.ones_like(lost_at_s) * 0.123 | ||
assert np.allclose(lost_at_s, drift_s) |
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############################################################################### | ||
# Particle Beam(s) | ||
############################################################################### | ||
beam.npart = 10000 | ||
beam.units = static | ||
beam.kin_energy = 250.0 | ||
beam.charge = 1.0e-9 | ||
beam.particle = proton | ||
beam.distribution = waterbag | ||
beam.lambdaX = 1.559531175539e-3 | ||
beam.lambdaY = 2.205510139392e-3 | ||
beam.lambdaT = 1.0e-3 | ||
beam.lambdaPx = 6.41218345413e-4 | ||
beam.lambdaPy = 9.06819680526e-4 | ||
beam.lambdaPt = 1.0e-3 | ||
beam.muxpx = 0.0 | ||
beam.muypy = 0.0 | ||
beam.mutpt = 0.0 | ||
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############################################################################### | ||
# Beamline: lattice elements and segments | ||
############################################################################### | ||
lattice.elements = monitor drift collimator monitor | ||
lattice.nslice = 1 | ||
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monitor.type = beam_monitor | ||
monitor.backend = h5 | ||
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drift.type = drift | ||
drift.ds = 0.123 | ||
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collimator.type = aperture | ||
collimator.shape = rectangular | ||
collimator.xmax = 1.0e-3 | ||
collimator.ymax = 1.5e-3 | ||
collimator.action = absorb | ||
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############################################################################### | ||
# Algorithms | ||
############################################################################### | ||
algo.particle_shape = 2 | ||
algo.space_charge = false | ||
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############################################################################### | ||
# Diagnostics | ||
############################################################################### | ||
diag.slice_step_diagnostics = true | ||
diag.backend = h5 |
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#!/usr/bin/env python3 | ||
# | ||
# Copyright 2022-2023 ImpactX contributors | ||
# Authors: Axel Huebl, Chad Mitchell | ||
# License: BSD-3-Clause-LBNL | ||
# | ||
# -*- coding: utf-8 -*- | ||
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import amrex.space3d as amr | ||
from impactx import ImpactX, distribution, elements | ||
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# work-around for https://github.com/ECP-WarpX/impactx/issues/499 | ||
pp_amrex = amr.ParmParse("amrex") | ||
pp_amrex.add("the_arena_is_managed", 1) | ||
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sim = ImpactX() | ||
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# set numerical parameters and IO control | ||
sim.particle_shape = 2 # B-spline order | ||
sim.space_charge = False | ||
# sim.diagnostics = False # benchmarking | ||
sim.slice_step_diagnostics = True | ||
sim.particle_lost_diagnostics_backend = "h5" | ||
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# domain decomposition & space charge mesh | ||
sim.init_grids() | ||
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# load a 250 MeV proton beam with an initial | ||
# horizontal rms emittance of 1 um and an | ||
# initial vertical rms emittance of 2 um | ||
kin_energy_MeV = 250.0 # reference energy | ||
bunch_charge_C = 1.0e-9 # used with space charge | ||
npart = 10000 # number of macro particles | ||
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# reference particle | ||
ref = sim.particle_container().ref_particle() | ||
ref.set_charge_qe(1.0).set_mass_MeV(938.27208816).set_kin_energy_MeV(kin_energy_MeV) | ||
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# particle bunch | ||
distr = distribution.Waterbag( | ||
lambdaX=1.559531175539e-3, | ||
lambdaY=2.205510139392e-3, | ||
lambdaT=1.0e-3, | ||
lambdaPx=6.41218345413e-4, | ||
lambdaPy=9.06819680526e-4, | ||
lambdaPt=1.0e-3, | ||
) | ||
sim.add_particles(bunch_charge_C, distr, npart) | ||
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# add beam diagnostics | ||
monitor = elements.BeamMonitor("monitor", backend="h5") | ||
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# design the accelerator lattice | ||
sim.lattice.extend( | ||
[ | ||
monitor, | ||
elements.Drift(name="drift", ds=0.123), | ||
elements.Aperture( | ||
name="collimator", | ||
xmax=1.0e-3, | ||
ymax=1.5e-3, | ||
shape="rectangular", | ||
action="absorb", | ||
), | ||
monitor, | ||
] | ||
) | ||
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# run simulation | ||
sim.track_particles() | ||
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# clean shutdown | ||
sim.finalize() |
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