def force_gmmt():
wavelengths = np.linspace(400 * nm, 1000 * nm, 100)
eps = meep_ext.get_eps(material)(wavelengths)
Au = miepy.data_material(wavelengths, eps)
# Au = miepy.constant_material(3.5**2)
# Au = miepy.materials.Au()
particles = []
for i in range(9):
orientation = miepy.quaternion.from_spherical_coords(theta[i], phi[i])
particles.append(
miepy.cylinder(position=[x[i], y[i], z[i]],
radius=radius,
height=height,
material=Au,
orientation=orientation))
F = np.zeros([3, 9, len(wavelengths)], dtype=float)
for i, wavelength in enumerate(pbar(wavelengths)):
sol = miepy.cluster(particles=particles,
source=miepy.sources.plane_wave([1, 0]),
wavelength=wavelength,
lmax=4)
F[..., i] = sol.force()
# if i == 0:
# miepy.visualize(sol)
return dict(wavelengths=wavelengths, force=F)
def vis():
fig, ax = plt.subplots()
norm = job.load(norm_sim)
scat = job.load(scat_sim)
ax.plot((1 / nm) / norm.frequency,
scat.scattering / norm.incident * norm.area,
'o',
color='C0',
label='scattering (FDTD)')
ax.plot((1 / nm) / norm.frequency,
scat.absorption / norm.incident * norm.area,
'o',
color='C1',
label='absorption (FDTD)')
ax.plot((1 / nm) / norm.frequency,
(scat.scattering + scat.absorption) / norm.incident * norm.area,
'o',
color='C2',
label='extinction (FDTD)')
wavelengths = np.linspace(400 * nm, 1000 * nm, 100)
eps = meep_ext.get_eps(material)(wavelengths)
Au = miepy.data_material(wavelengths, eps)
# Au = miepy.constant_material(3.5**2)
C, A, E = [np.zeros_like(wavelengths) for i in range(3)]
particles = []
for i in range(9):
orientation = miepy.quaternion.from_spherical_coords(theta[i], phi[i])
particles.append(
miepy.cylinder(position=[x[i], y[i], z[i]],
radius=radius,
height=height,
material=Au,
orientation=orientation))
for i, wavelength in enumerate(pbar(wavelengths)):
sol = miepy.cluster(particles=particles,
source=miepy.sources.plane_wave([1, 0]),
wavelength=wavelength,
lmax=3)
C[i], A[i], E[i] = sol.cross_sections()
ax.axhline(0, linestyle='--', color='black')
ax.plot(wavelengths / nm, C, color='C0', label='scattering (GMT)')
ax.plot(wavelengths / nm, A, color='C1', label='absorption (GMT)')
ax.plot(wavelengths / nm, E, color='C2', label='extinction (GMT)')
ax.legend()
ax.set(xlabel='wavelength (nm)', ylabel='cross-section')
plt.show()
def vis():
### forces
fig, ax = plt.subplots()
force = np.zeros([3, len(separations)])
for i, separation in enumerate(separations):
var = job.load(sim, f'p{i}')
force[0, i] = var.Fx
force[1, i] = var.Fy
force[2, i] = var.Fz
norm = job.load(norm_sim)
ax.axhline(0, linestyle='--', color='black')
ax.plot(separations / nm,
force[0] / norm.norm * norm.area * constants.epsilon_0 / 2,
'o',
color='C0',
label='Fx (FDTD)')
ax.plot(separations / nm,
force[1] / norm.norm * norm.area * constants.epsilon_0 / 2,
'o',
color='C1',
label='Fy (FDTD)')
ax.plot(separations / nm,
force[2] / norm.norm * norm.area * constants.epsilon_0 / 2,
'o',
color='C2',
label='Fz (FDTD)')
import miepy
eps = meep_ext.get_eps(gold)(wavelength)
Au = miepy.constant_material(eps * scale**2)
water = miepy.constant_material(nb**2)
source = miepy.sources.rhc_polarized_plane_wave()
seps = np.linspace(300 * nm / scale, 900 * nm / scale, 100)
force = np.zeros([3, len(seps)])
for i, sep in enumerate(seps):
spheres = miepy.spheres([[-sep / 2, 0, 0], [sep / 2, 0, 0]],
radius / scale, Au)
sol = miepy.gmt(spheres, source, wavelength, 2, medium=water)
F = sol.force_on_particle(1)
force[:, i] = F.squeeze()
ax.plot(seps * scale / nm, force[0], color='C0', label='Fx (GMT)')
ax.plot(seps * scale / nm, force[1], color='C1', label='Fy (GMT)')
ax.plot(seps * scale / nm, force[2], color='C2', label='Fz (GMT)')
ax.set(xlabel='separation (nm)', ylabel='force')
ax.legend()
plt.show()
def vis():
### cross-sections
fig, ax = plt.subplots()
scat = np.zeros([len(separations)])
absorb = np.zeros([len(separations)])
for i, separation in enumerate(separations):
norm = job.load(norm_sim, f'p{i}')
var = job.load(sim, f'p{i}')
scat[i] = var.scattering / norm.norm * norm.area
absorb[i] = var.absorption / norm.norm * norm.area
ax.plot(separations / nm, scat, 'o', color='C0', label='scattering (FDTD)')
ax.plot(separations / nm,
absorb,
'o',
color='C1',
label='absorption (FDTD)')
ax.plot(separations / nm,
scat + absorb,
'o',
color='C2',
label='extinction (FDTD)')
import miepy
eps = meep_ext.get_eps(gold)(wavelength)
Au = miepy.constant_material(eps)
source = miepy.sources.rhc_polarized_plane_wave()
seps = np.linspace(300 * nm, 900 * nm, 100)
scat = np.zeros([len(seps)])
absorb = np.zeros([len(seps)])
extinct = np.zeros([len(seps)])
for i, sep in enumerate(seps):
spheres = miepy.spheres([[-sep / 2, 0, 0], [sep / 2, 0, 0]], radius,
Au)
sol = miepy.gmt(spheres, source, wavelength, 2)
scat[i], absorb[i], extinct[i] = sol.cross_sections()
ax.plot(seps / nm, scat, color='C0', label='scattering (GMT)')
ax.plot(seps / nm, absorb, color='C1', label='absorption (GMT)')
ax.plot(seps / nm, extinct, color='C2', label='extinction (GMT)')
ax.set(xlabel='separation (nm)', ylabel='cross-section')
ax.legend()
plt.show()
def vis():
### forces
fig, axes = plt.subplots(nrows=2, figsize=(7,6), sharex=True,
gridspec_kw=dict(height_ratios=[2,1], hspace=0.05))
force = np.zeros([3,len(separations)])
for i,separation in enumerate(separations):
var = job.load(sim, f'p{i}')
force[0,i] = var.Fx
force[1,i] = var.Fy
force[2,i] = var.Fz
norm = job.load(norm_sim)
for ax in axes:
ax.axhline(0, linestyle='--', color='black')
ax.plot(separations/nm, force[0]/norm.norm*norm.area*constants.epsilon_0/2*1e25, 'o', color='C0', label='Fx (FDTD)')
ax.plot(separations/nm, force[1]/norm.norm*norm.area*constants.epsilon_0/2*1e25, 'o', color='C1', label='Fy (FDTD)')
ax.plot(separations/nm, force[2]/norm.norm*norm.area*constants.epsilon_0/2*1e25, 'o', color='C2', label='Fz (FDTD)')
import miepy
eps = meep_ext.get_eps(gold)(wavelength)
Au = miepy.constant_material(eps)
# Au = miepy.constant_material(3.5**2)
source = miepy.sources.rhc_polarized_plane_wave()
seps = np.linspace(300*nm, 900*nm, 100)
force = np.zeros([3,len(seps)])
for i,sep in enumerate(seps):
spheres = miepy.spheres([[-sep/2,0,0],[sep/2,0,0]], radius, Au)
sol = miepy.gmt(spheres, source, wavelength, 2)
F = sol.force_on_particle(1)
force[:,i] = F.squeeze()
for ax in axes:
ax.plot(seps/nm, force[0]*1e25, color='C0', label='Fx (GMT)')
ax.plot(seps/nm, force[1]*1e25, color='C1', label='Fy (GMT)')
ax.plot(seps/nm, force[2]*1e25, color='C2', label='Fz (GMT)')
axes[0].legend()
axes[0].set(ylabel='force')
axes[1].set(xlabel='separation (nm)', ylabel='force', ylim=[-3e-2, 3e-2])
plt.show()
def gmt_sim():
wavelengths = np.linspace(400 * nm, 1000 * nm, 100)
eps = meep_ext.get_eps(material)(wavelengths)
Au = miepy.data_material(wavelengths, eps)
Au = miepy.constant_material(3.5**2)
C, A, E = [np.zeros_like(wavelengths) for i in range(3)]
particles = []
# orientation = miepy.quaternion.from_spherical_coords(theta[i], phi[i])
particles.append(miepy.cube([0, 0, 0], W, material=Au, orientation=q))
for i, wavelength in enumerate(tqdm(wavelengths)):
sol = miepy.cluster(particles=particles,
source=miepy.sources.plane_wave([1, 0]),
wavelength=wavelength,
lmax=4)
C[i], A[i], E[i] = sol.cross_sections()
return dict(wavelengths=wavelengths, C=C, A=A, E=E)
def vis():
### forces
fig, ax = plt.subplots()
norm = job.load(dimer_norm)
scat = job.load(dimer_scat)
ax.plot((1 / nm) / norm.frequency,
scat.scattering / norm.incident * norm.area,
'o',
color='C0',
label='scattering (FDTD)')
ax.plot((1 / nm) / norm.frequency,
scat.absorption / norm.incident * norm.area,
'o',
color='C1',
label='absorption (FDTD)')
ax.plot((1 / nm) / norm.frequency,
(scat.scattering + scat.absorption) / norm.incident * norm.area,
'o',
color='C2',
label='extinction (FDTD)')
import miepy
wavelengths = np.linspace(400 * nm, 1000 * nm, 100)
eps = meep_ext.get_eps(gold)(wavelengths)
Au = miepy.data_material(wavelengths, eps)
# Au = miepy.constant_material(3.5**2)
spheres = miepy.spheres([[-sep / 2, 0, 0], [sep / 2, 0, 0]], radius, Au)
source = miepy.sources.x_polarized_plane_wave()
sol = miepy.gmt(spheres, source, wavelengths, 2)
C, A, E = sol.cross_sections()
ax.axhline(0, linestyle='--', color='black')
ax.plot(wavelengths / nm, C, color='C0', label='scattering (GMT)')
ax.plot(wavelengths / nm, A, color='C1', label='absorption (GMT)')
ax.plot(wavelengths / nm, E, color='C2', label='extinction (GMT)')
ax.legend()
ax.set(xlabel='wavelength (nm)', ylabel='cross-section')
### field animation
fig, ax = plt.subplots()
x = np.linspace(0, cell[0] / nm, Nx)
z = np.linspace(0, cell[1] / nm, Nz)
X, Z = np.meshgrid(x, z, indexing='ij')
var = job.load(dimer_fields)
idx = np.s_[10:-10, 10:-10]
E = var.E[:, 10:-10, 10:-10]
# E = var.E
vmax = np.max(np.abs(E)) / 2
im = ax.pcolormesh(X[idx],
Z[idx],
E[0],
cmap='RdBu',
animated=True,
vmax=vmax,
vmin=-vmax)
ax.set_aspect('equal')
def update(i):
im.set_array(np.ravel(E[i][:-1, :-1]))
return [im]
ani = animation.FuncAnimation(fig,
update,
range(E.shape[0]),
interval=50,
blit=True)
plt.show()
def vis():
### forces
fig, axes = plt.subplots(nrows=2,
figsize=(7, 6),
sharex=True,
gridspec_kw=dict(height_ratios=[2, 1],
hspace=0.05))
norm = job.load(dimer_norm)
scat = job.load(dimer_scat)
for ax in axes:
ax.plot((1 / nm) / norm.frequency,
scat.Fx / norm.incident * norm.area * constants.epsilon_0 / 2 *
1e25,
'o',
color='C0',
label='Fx (FDTD)')
ax.plot((1 / nm) / norm.frequency,
scat.Fy / norm.incident * norm.area * constants.epsilon_0 / 2 *
1e25,
'o',
color='C1',
label='Fy (FDTD)')
ax.plot((1 / nm) / norm.frequency,
scat.Fz / norm.incident * norm.area * constants.epsilon_0 / 2 *
1e25,
'o',
color='C2',
label='Fz (FDTD)')
import miepy
wavelengths = np.linspace(400 * nm, 1000 * nm, 100)
eps = meep_ext.get_eps(gold)(wavelengths)
Au = miepy.data_material(wavelengths, eps)
# Au = miepy.constant_material(3.5**2)
spheres = miepy.spheres([[-sep / 2, 0, 0], [sep / 2, 0, 0]], radius, Au)
source = miepy.sources.rhc_polarized_plane_wave()
sol = miepy.gmt(spheres, source, wavelengths, 2)
F = sol.force_on_particle(1)
for ax in axes:
ax.axhline(0, linestyle='--', color='black')
ax.plot(wavelengths / nm, F[0] * 1e25, color='C0', label='Fx (GMT)')
ax.plot(wavelengths / nm, F[1] * 1e25, color='C1', label='Fy (GMT)')
ax.plot(wavelengths / nm, F[2] * 1e25, color='C2', label='Fz (GMT)')
axes[0].legend()
axes[0].set(ylabel='force')
axes[1].set(xlabel='wavelength (nm)', ylabel='force', ylim=[-0.035, 0.01])
### field animation
fig, ax = plt.subplots()
x = np.linspace(0, cell[0] / nm, Nx)
z = np.linspace(0, cell[1] / nm, Nz)
X, Z = np.meshgrid(x, z, indexing='ij')
var = job.load(dimer_fields)
idx = np.s_[10:-10, 10:-10]
E = var.E[:, 10:-10, 10:-10]
# E = var.E
vmax = np.max(np.abs(E)) / 2
im = ax.pcolormesh(X[idx],
Z[idx],
E[0],
cmap='RdBu',
animated=True,
vmax=vmax,
vmin=-vmax)
ax.set_aspect('equal')
def update(i):
im.set_array(np.ravel(E[i][:-1, :-1]))
return [im]
ani = animation.FuncAnimation(fig,
update,
range(E.shape[0]),
interval=50,
blit=True)
plt.show()
""" Compare material to raw eps data """ import numpy as np import meep_ext import matplotlib.pyplot as plt import miepy nm = 1e-3 wavelengths = np.linspace(400 * nm, 1000 * nm, 100) eps = meep_ext.get_eps(meep_ext.material.Au())(wavelengths) plt.plot(wavelengths * 1e3, eps.real, color='C0', label='Re (meep)') plt.plot(wavelengths * 1e3, eps.imag, color='C1', label='Im (meep)') gold = miepy.materials.predefined.Au() eps = gold.eps(wavelengths * 1e-6) plt.plot(wavelengths * 1e3, eps.real, '--', color='C0', label='Re (JC)') plt.plot(wavelengths * 1e3, eps.imag, '--', color='C1', label='Im (JC)') plt.legend() plt.show()