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import time | ||
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import numpy as np | ||
import matplotlib.pyplot as plt | ||
import numpy as np | ||
import matplotlib.pyplot as plt | ||
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import traceon.geometry as G | ||
import traceon.excitation as E | ||
import traceon.tracing as T | ||
import traceon.solver as S | ||
import traceon.plotting as P | ||
from traceon.interpolation import FieldRadialAxial | ||
import traceon.geometry as G | ||
import traceon.excitation as E | ||
import traceon.tracing as T | ||
import traceon.solver as S | ||
import traceon.plotting as P | ||
from traceon.interpolation import FieldRadialAxial | ||
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try: | ||
from traceon_pro.interpolation import Field3DAxial | ||
except ImportError: | ||
Field3DAxial = None | ||
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PLOT_GEOM = False | ||
MSF = 30 | ||
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try: | ||
from traceon_pro.interpolation import Field3DAxial | ||
except ImportError: | ||
#voltages | ||
TUNING_VOLTAGE = 710.0126605741955 | ||
MIRROR_VOLTAGE = -1250 | ||
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#displacements x y z plane of seperate components | ||
ground_elec_displacement = (0.,0.,0.) | ||
tuning_elec_displacement = (0.,0.,0.) | ||
mirror_displacement = (0.0,0.,0.) | ||
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Field3DAxial = None | ||
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PLOT_GEOM = False | ||
MSF = 30 | ||
rmax = 1.0 | ||
margin = 0.3 | ||
extent = rmax-0.1 | ||
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#voltages | ||
TUNING_VOLTAGE = 710.0126605741955 | ||
MIRROR_VOLTAGE = -1250 | ||
t = 0.15 # thickness | ||
r = 0.075 # radius | ||
st = 0.5 # spacer thickness | ||
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#displacements x y z plane of seperate components | ||
ground_elec_displacement = (0.,0.,0.) | ||
tuning_elec_displacement = (0.,0.,0.) | ||
mirror_displacement = (0.0,0.,0.) | ||
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#create line geometries | ||
mirror = G.Path.aperture(0.15, r, extent, z=t/2) | ||
mirror.name = 'mirror' | ||
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rmax = 1.0 | ||
margin = 0.3 | ||
extent = rmax-0.1 | ||
mirror_line = G.Path.line([0., 0., 0.], [r, 0., 0.]) | ||
mirror_line.name = 'mirror' | ||
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t = 0.15 # thickness | ||
r = 0.075 # radius | ||
st = 0.5 # spacer thickness | ||
lens = G.Path.aperture(0.15, r, extent, z=t + st + t/2) | ||
lens.name = 'lens' | ||
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ground = G.Path.aperture(0.15, r, extent, z=t+st+t+st+t/2) | ||
ground.name = 'ground' | ||
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#create line geometries | ||
mirror = G.Path.aperture(0.15, r, extent, z=t/2) | ||
mirror.name = 'mirror' | ||
#revolve around z axis and displace | ||
mirror = mirror.revolve_z() | ||
mirror_line = mirror_line.revolve_z() | ||
lens = lens.revolve_z() | ||
ground = ground.revolve_z() | ||
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mirror_line = G.Path.line([0., 0., 0.], [r, 0., 0.]) | ||
mirror_line.name = 'mirror' | ||
#displace electrodes | ||
ground = ground.move(*ground_elec_displacement) | ||
lens = lens.move(*tuning_elec_displacement) | ||
mirror = mirror.move(*mirror_displacement) | ||
mirror_line = mirror_line.move(*mirror_displacement) | ||
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lens = G.Path.aperture(0.15, r, extent, z=t + st + t/2) | ||
lens.name = 'lens' | ||
#create geometry | ||
geom = mirror+mirror_line+lens+ground | ||
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ground = G.Path.aperture(0.15, r, extent, z=t+st+t+st+t/2) | ||
ground.name = 'ground' | ||
#make mesh | ||
mesh = geom.mesh(mesh_size_factor=MSF) | ||
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#revolve around z axis and displace | ||
mirror = mirror.revolve_z() | ||
mirror_line = mirror_line.revolve_z() | ||
lens = lens.revolve_z() | ||
ground = ground.revolve_z() | ||
if PLOT_GEOM: | ||
P.plot_mesh(mesh, ground='green', mirror='red', lens='blue', show_normals=True) | ||
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#displace electrodes | ||
ground = ground.move(*ground_elec_displacement) | ||
lens = lens.move(*tuning_elec_displacement) | ||
mirror = mirror.move(*mirror_displacement) | ||
mirror_line = mirror_line.move(*mirror_displacement) | ||
excitation = E.Excitation(mesh, E.Symmetry.THREE_D) | ||
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#create geometry | ||
geom = mirror+mirror_line+lens+ground | ||
# Apply the correct voltages. Set the ground electrode to zero. | ||
excitation.add_voltage(ground=0., lens=TUNING_VOLTAGE, mirror=MIRROR_VOLTAGE) | ||
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#make mesh | ||
mesh = geom.mesh(mesh_size_factor=MSF) | ||
# Use the Boundary Element Method (BEM) to calculate the surface charges, | ||
# the surface charges gives rise to a electrostatic field. | ||
field = S.solve_direct(excitation) | ||
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if PLOT_GEOM: | ||
P.plot_mesh(mesh, ground='green', mirror='red', lens='blue', show_normals=True) | ||
tracer = field.get_tracer( [(-r/2, r/2), (-r/2, r/2), (-7, 15.1)] ) | ||
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excitation = E.Excitation(mesh, E.Symmetry.THREE_D) | ||
angle = 0.5e-8 | ||
z0 = 15 | ||
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# Apply the correct voltages. Set the ground electrode to zero. | ||
excitation.add_voltage(ground=0., lens=TUNING_VOLTAGE, mirror=MIRROR_VOLTAGE) | ||
# Initial velocity vector points downwards, with a | ||
# initial speed corresponding to 1000eV. | ||
start_pos = np.array([0.0, 0.0, z0]) | ||
start_vel = T.velocity_vec_xz_plane(1000, angle) | ||
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# Use the Boundary Element Method (BEM) to calculate the surface charges, | ||
# the surface charges gives rise to a electrostatic field. | ||
field = S.solve_direct(excitation) | ||
print('Starting trace...') | ||
st = time.time() | ||
_, pos_derivs = tracer(start_pos, start_vel) | ||
print(f'Trace took {(time.time()-st)*1000:.1f} ms') | ||
intersection = T.xy_plane_intersection(pos_derivs, z0) | ||
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tracer = field.get_tracer( [(-r/2, r/2), (-r/2, r/2), (-7, 15.1)] ) | ||
print("(x,y,z)-displacements: \n") | ||
print(f"ground: {ground_elec_displacement}") | ||
print(f"lens: {tuning_elec_displacement}") | ||
print(f"mirror: {mirror_displacement} \n") | ||
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angle = 0.5e-8 | ||
z0 = 15 | ||
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# Initial velocity vector points downwards, with a | ||
# initial speed corresponding to 1000eV. | ||
start_pos = np.array([0.0, 0.0, z0]) | ||
start_vel = T.velocity_vec_xz_plane(1000, angle) | ||
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print('Starting trace...') | ||
st = time.time() | ||
_, pos_derivs = tracer(start_pos, start_vel) | ||
print(f'Trace took {(time.time()-st)*1000:.1f} ms') | ||
intersection = T.xy_plane_intersection(pos_derivs, z0) | ||
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print("(x,y,z)-displacements: \n") | ||
print(f"ground: {ground_elec_displacement}") | ||
print(f"lens: {tuning_elec_displacement}") | ||
print(f"mirror: {mirror_displacement} \n") | ||
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print(f"Relative error: {np.abs(intersection[0])}") | ||
print(f"Relative error: {np.abs(intersection[0])}") |