def testGMRES(self):
# Parameter input ----------------------------
vacuum_wavelength = 550
beam_polar_angle = np.pi * 7 / 8
beam_azimuthal_angle = np.pi * 1 / 3
beam_polarization = 0
beam_amplitude = 1
beam_neff_array = np.linspace(0, 2, 501, endpoint=False)
beam_waist = 1000
beam_focal_point = [200, 200, 200]
#neff_waypoints = [0, 0.5, 0.8 - 0.01j, 2 - 0.01j, 2.5, 5]
#neff_discr = 1e-2
# --------------------------------------------
#coord.set_default_k_parallel(vacuum_wavelength, neff_waypoints, neff_discr)
# initialize particle object
sphere1 = part.Sphere(position=[100, 100, 150], refractive_index=2.4 + 0.0j, radius=110, l_max=4, m_max=4)
sphere2 = part.Sphere(position=[-100, -100, 250], refractive_index=1.9 + 0.0j, radius=120, l_max=3, m_max=3)
sphere3 = part.Sphere(position=[-200, 100, 300], refractive_index=1.7 + 0.0j, radius=90, l_max=3, m_max=3)
particle_list = [sphere1, sphere2, sphere3]
# initialize layer system object
lay_sys = lay.LayerSystem([0, 400, 0], [2, 1.4, 2])
# initialize initial field object
init_fld = init.GaussianBeam(vacuum_wavelength=vacuum_wavelength, polar_angle=beam_polar_angle,
azimuthal_angle=beam_azimuthal_angle, polarization=beam_polarization,
amplitude=beam_amplitude, reference_point=beam_focal_point, beam_waist=beam_waist,
k_parallel_array=beam_neff_array * flds.angular_frequency(vacuum_wavelength))
# initialize simulation object
simulation_lu = simul.Simulation(layer_system=lay_sys, particle_list=particle_list, initial_field=init_fld,
solver_type='LU', log_to_terminal='nose2' not in sys.modules.keys()) # suppress output if called by nose
simulation_lu.run()
coefficients_lu = particle_list[0].scattered_field.coefficients
simulation_gmres = simul.Simulation(layer_system=lay_sys, particle_list=particle_list, initial_field=init_fld,
solver_type='gmres', solver_tolerance=1e-5,
log_to_terminal=(
not sys.argv[0].endswith('nose2'))) # suppress output if called by nose
simulation_gmres.run()
coefficients_gmres = particle_list[0].scattered_field.coefficients
np.testing.assert_allclose(np.linalg.norm(coefficients_lu), np.linalg.norm(coefficients_gmres), rtol=1e-5)
def read_input_yaml(filename):
"""Parse input file
Args:
filename (str): relative path and filename of input file
Returns:
smuthi.simulation.Simulation object containing the params of the input file
"""
print('Reading ' + os.path.abspath(filename))
with open(filename, 'r') as input_file:
input_data = yaml.load(input_file.read())
cu.enable_gpu(input_data.get('enable GPU', False))
# wavelength
wl = float(input_data['vacuum wavelength'])
# set default coordinate arrays
angle_unit = input_data.get('angle unit')
if angle_unit == 'degree':
angle_factor = np.pi / 180
else:
angle_factor = 1
angle_resolution = input_data.get(
'angular resolution', np.pi / 180 / angle_factor) * angle_factor
coord.default_azimuthal_angles = np.arange(
0, 2 * np.pi + angle_resolution / 2, angle_resolution)
coord.default_polar_angles = np.arange(0, np.pi + angle_resolution / 2,
angle_resolution)
neff_resolution = float(input_data.get('n_effective resolution', 1e-2))
neff_max = input_data.get('max n_effective')
if neff_max is None:
ref_ind = [
float(n) for n in input_data['layer system']['refractive indices']
]
neff_max = max(np.array(ref_ind).real) + 1
neff_imag = float(input_data.get('n_effective imaginary deflection', 5e-2))
coord.set_default_k_parallel(vacuum_wavelength=wl,
neff_resolution=neff_resolution,
neff_max=neff_max,
neff_imag=neff_imag)
# initialize simulation
lookup_resolution = input_data.get('coupling matrix lookup resolution',
None)
if lookup_resolution is not None and lookup_resolution <= 0:
lookup_resolution = None
simulation = smuthi.simulation.Simulation(
solver_type=input_data.get('solver type', 'LU'),
solver_tolerance=float(input_data.get('solver tolerance', 1e-4)),
store_coupling_matrix=input_data.get('store coupling matrix', True),
coupling_matrix_lookup_resolution=lookup_resolution,
coupling_matrix_interpolator_kind=input_data.get(
'interpolation order', 'linear'),
input_file=filename,
length_unit=input_data.get('length unit'),
output_dir=input_data.get('output folder'),
save_after_run=input_data.get('save simulation'))
# particle collection
particle_list = []
particle_input = input_data['scattering particles']
if isinstance(particle_input, str):
particle_type = 'sphere'
with open(particle_input, 'r') as particle_specs_file:
for line in particle_specs_file:
if len(line.split()) > 0:
if line.split()[-1] == 'spheres':
particle_type = 'sphere'
elif line.split()[-1] == 'spheroids':
particle_type = 'spheroid'
elif line.split()[-1] == 'cylinders':
particle_type = 'finite cylinder'
if not line.split()[0] == '#':
numeric_line_data = [float(x) for x in line.split()]
pos = numeric_line_data[:3]
if particle_type == 'sphere':
r = numeric_line_data[3]
n = numeric_line_data[4] + 1j * numeric_line_data[5]
l_max = int(numeric_line_data[6])
m_max = int(numeric_line_data[7])
particle_list.append(
part.Sphere(position=pos,
refractive_index=n,
radius=r,
l_max=l_max,
m_max=m_max))
if particle_type == 'spheroid':
c = numeric_line_data[3]
a = numeric_line_data[4]
beta = numeric_line_data[5]
alpha = numeric_line_data[6]
n = numeric_line_data[7] + 1j * numeric_line_data[8]
l_max = int(numeric_line_data[9])
m_max = int(numeric_line_data[10])
particle_list.append(
part.Spheroid(position=pos,
polar_angle=beta,
azimuthal_angle=beta,
refractive_index=n,
semi_axis_c=c,
semi_axis_a=a,
l_max=l_max,
m_max=m_max))
if particle_type == 'finite cylinder':
r = numeric_line_data[3]
h = numeric_line_data[4]
beta = numeric_line_data[5]
alpha = numeric_line_data[6]
n = numeric_line_data[7] + 1j * numeric_line_data[8]
l_max = int(numeric_line_data[9])
m_max = int(numeric_line_data[10])
particle_list.append(
part.FiniteCylinder(position=pos,
polar_angle=beta,
azimuthal_angle=beta,
refractive_index=n,
cylinder_radius=r,
cylinder_height=h,
l_max=l_max,
m_max=m_max))
else:
for prtcl in input_data['scattering particles']:
n = (float(prtcl['refractive index']) +
1j * float(prtcl['extinction coefficient']))
pos = [
float(prtcl['position'][0]),
float(prtcl['position'][1]),
float(prtcl['position'][2])
]
l_max = int(prtcl['l_max'])
m_max = int(prtcl.get('m_max', l_max))
if prtcl['shape'] == 'sphere':
r = float(prtcl['radius'])
particle_list.append(
part.Sphere(position=pos,
refractive_index=n,
radius=r,
l_max=l_max,
m_max=m_max))
else:
nfmds_settings = prtcl.get('NFM-DS settings', {})
use_ds = nfmds_settings.get('use discrete sources', True)
nint = nfmds_settings.get('nint', 200)
nrank = nfmds_settings.get('nrank', l_max + 2)
t_matrix_method = {
'use discrete sources': use_ds,
'nint': nint,
'nrank': nrank
}
polar_angle = prtcl.get('polar angle', 0)
azimuthal_angle = prtcl.get('azimuthal angle', 0)
if prtcl['shape'] == 'spheroid':
c = float(prtcl['semi axis c'])
a = float(prtcl['semi axis a'])
particle_list.append(
part.Spheroid(position=pos,
polar_angle=polar_angle,
azimuthal_angle=azimuthal_angle,
refractive_index=n,
semi_axis_a=a,
semi_axis_c=c,
l_max=l_max,
m_max=m_max,
t_matrix_method=t_matrix_method))
elif prtcl['shape'] == 'finite cylinder':
h = float(prtcl['cylinder height'])
r = float(prtcl['cylinder radius'])
particle_list.append(
part.FiniteCylinder(position=pos,
polar_angle=polar_angle,
azimuthal_angle=azimuthal_angle,
refractive_index=n,
cylinder_radius=r,
cylinder_height=h,
l_max=l_max,
m_max=m_max,
t_matrix_method=t_matrix_method))
else:
raise ValueError(
'Currently, only spheres, spheroids and finite cylinders are implemented'
)
simulation.particle_list = particle_list
# layer system
thick = [float(d) for d in input_data['layer system']['thicknesses']]
ref_ind = [
float(n) for n in input_data['layer system']['refractive indices']
]
ext_coeff = [
float(n) for n in input_data['layer system']['extinction coefficients']
]
ref_ind = np.array(ref_ind) + 1j * np.array(ext_coeff)
ref_ind = ref_ind.tolist()
simulation.layer_system = lay.LayerSystem(thicknesses=thick,
refractive_indices=ref_ind)
# initial field
infld = input_data['initial field']
if infld['type'] == 'plane wave':
a = float(infld.get('amplitude', 1))
pol_ang = angle_factor * float(infld['polar angle'])
az_ang = angle_factor * float(infld['azimuthal angle'])
if infld['polarization'] == 'TE':
pol = 0
elif infld['polarization'] == 'TM':
pol = 1
else:
raise ValueError('polarization must be "TE" or "TM"')
ref = [
float(infld.get('reference point', [0, 0, 0])[0]),
float(infld.get('reference point', [0, 0, 0])[1]),
float(infld.get('reference point', [0, 0, 0])[2])
]
initial_field = init.PlaneWave(vacuum_wavelength=wl,
polar_angle=pol_ang,
azimuthal_angle=az_ang,
polarization=pol,
amplitude=a,
reference_point=ref)
elif infld['type'] == 'Gaussian beam':
a = float(infld['amplitude'])
pol_ang = angle_factor * float(infld['polar angle'])
az_ang = angle_factor * float(infld['azimuthal angle'])
if infld['polarization'] == 'TE':
pol = 0
elif infld['polarization'] == 'TM':
pol = 1
else:
raise ValueError('polarization must be "TE" or "TM"')
ref = [
float(infld['focus point'][0]),
float(infld['focus point'][1]),
float(infld['focus point'][2])
]
ang_res = infld.get('angular resolution',
np.pi / 180 / ang_fac) * ang_fac
bet_arr = np.arange(0, np.pi / 2, ang_res)
if pol_ang <= np.pi:
kparr = np.sin(bet_arr) * simulation.layer_system.wavenumber(
layer_number=0, vacuum_wavelength=wl)
else:
kparr = np.sin(bet_arr) * simulation.layer_system.wavenumber(
layer_number=-1, vacuum_wavelength=wl)
wst = infld['beam waist']
aarr = np.concatenate([np.arange(0, 2 * np.pi, ang_res), [2 * np.pi]])
initial_field = init.GaussianBeam(vacuum_wavelength=wl,
polar_angle=pol_ang,
azimuthal_angle=az_ang,
polarization=pol,
beam_waist=wst,
k_parallel_array=kparr,
azimuthal_angles_array=aarr,
amplitude=a,
reference_point=ref)
elif infld['type'] == 'dipole source':
pos = [float(infld['position'][i]) for i in range(3)]
mom = [float(infld['dipole moment'][i]) for i in range(3)]
initial_field = init.DipoleSource(vacuum_wavelength=wl,
dipole_moment=mom,
position=pos)
elif infld['type'] == 'dipole collection':
initial_field = init.DipoleCollection(vacuum_wavelength=wl)
dipoles = infld['dipoles']
for dipole in dipoles:
pos = [float(dipole['position'][i]) for i in range(3)]
mom = [float(dipole['dipole moment'][i]) for i in range(3)]
dip = init.DipoleSource(vacuum_wavelength=wl,
dipole_moment=mom,
position=pos)
initial_field.append(dip)
simulation.initial_field = initial_field
# post processing
simulation.post_processing = pp.PostProcessing()
if input_data.get('post processing'):
for item in input_data['post processing']:
if item['task'] == 'evaluate far field':
simulation.post_processing.tasks.append(item)
elif item['task'] == 'evaluate near field':
simulation.post_processing.tasks.append(item)
return simulation
beta = 0
alpha = 0.2 * np.pi
pol = 1
rS = [100, -200, 300]
laysys = smuthi.layers.LayerSystem(thicknesses=[0, 0],
refractive_indices=[1, 1])
particle = smuthi.particles.Sphere(position=rS, l_max=3, m_max=3)
particle_list = [particle]
al_ar = np.linspace(0, 2 * np.pi, 1000)
kp_ar = np.linspace(0, 0.99999, 1000) * smuthi.fields.angular_frequency(ld)
bw = 4000
ref = [-100, 100, 200]
gauss_beam = init.GaussianBeam(vacuum_wavelength=ld,
polar_angle=beta,
azimuthal_angle=alpha,
polarization=pol,
amplitude=A,
reference_point=ref,
k_parallel_array=kp_ar,
beam_waist=bw)
particle.initial_field = gauss_beam.spherical_wave_expansion(particle, laysys)
def test_SWE_coefficients_against_prototype():
aI = particle.initial_field.coefficients
ai0 = 0.4040275 - 1.6689055j
ai9 = -0.0115840 + 0.0107125j
ai20 = -3.1855342e-04 - 7.7089434e-04j
print(abs((aI[0] - ai0) / ai0), abs((aI[9] - ai9) / ai9),
abs((aI[20] - ai20) / ai20))
assert abs((aI[0] - ai0) / ai0) < 1e-5
assert abs((aI[9] - ai9) / ai9) < 1e-5
w12 = coup.direct_coupling_block(vacuum_wavelength, sphere1, sphere2, lay_sys)
phi13 = np.arctan2(sphere1.position[1] - sphere3.position[1],
sphere1.position[0] - sphere3.position[0])
rho13 = np.sqrt(
sum([(sphere1.position[i] - sphere3.position[i])**2 for i in range(3)]))
wr13 = coup.layer_mediated_coupling_block(vacuum_wavelength, sphere1, sphere3,
lay_sys)
w13 = coup.direct_coupling_block(vacuum_wavelength, sphere1, sphere3, lay_sys)
# initialize initial field object
init_fld = init.GaussianBeam(vacuum_wavelength=vacuum_wavelength,
polar_angle=beam_polar_angle,
azimuthal_angle=beam_azimuthal_angle,
polarization=beam_polarization,
amplitude=beam_amplitude,
reference_point=beam_focal_point,
beam_waist=beam_waist,
k_parallel_array=beam_neff_array *
coord.angular_frequency(vacuum_wavelength))
# initialize simulation object
simulation_direct = simul.Simulation(layer_system=lay_sys,
particle_list=particle_list,
initial_field=init_fld,
solver_type='LU',
store_coupling_matrix=True,
log_to_terminal=False)
simulation_direct.run()
coefficients_direct = particle_list[0].scattered_field.coefficients