def test_tmatrix_spheroid_is_sphere(material, atol):
"""tmatrix of spheroid with aspect ratio 1 is equal to tmatrix of sphere"""
sphere = miepy.sphere([0,0,0], radius, material)
spheroid = miepy.spheroid([0,0,0], radius, radius, material, tmatrix_lmax=4)
T1 = sphere.compute_tmatrix(lmax, wavelength, eps_b)
T2 = spheroid.compute_tmatrix(lmax, wavelength, eps_b)
print(np.max(np.abs(T1-T2)))
assert np.allclose(T1, T2, rtol=0, atol=atol)
def test_tmatrix_sphere_is_sphere(material, atol):
"""tmatrix method with spheres should be equivalent to sphere cluster"""
position = [[-300*nm, 0, 0], [300*nm, 0, 0]]
spheres = miepy.sphere_cluster(position=position,
radius=radius,
material=material,
source=source,
wavelength=wavelength,
lmax=lmax,
medium=medium)
particles = [miepy.sphere(pos, radius, material) for pos in position]
cluster = miepy.cluster(particles=particles,
source=source,
wavelength=wavelength,
lmax=lmax,
medium=medium)
print(np.max(np.abs(spheres.p_inc - cluster.p_inc)))
assert np.allclose(spheres.p_inc, cluster.p_inc, rtol=0, atol=atol)
T = -np.einsum('aibj,bjck->aick', Q11, np.linalg.tensorinv(Q31))
return T
nm = 1e-9
lmax = 4
wavelength = 600 * nm
radius = 60 * nm
eps = 4
material = miepy.constant_material(eps)
sphere = miepy.sphere([0, 0, 0], radius, material)
T = sphere.compute_tmatrix(lmax, wavelength, 1)
# print(T[0,:,0,0])
theta = np.linspace(0, np.pi, 80)
phi = np.linspace(0, 2 * np.pi, 80)
THETA, PHI = np.meshgrid(theta, phi, indexing='ij')
rhat, that, phat = miepy.coordinates.sph_basis_vectors(THETA, PHI)
dS = rhat * np.sin(THETA) * radius**2
# T = get_tmatrix(radius, dS, eps, 1, wavelength, lmax)
# print(T[0,:,0,0])
def ellipsoid_dS(a, b, c, theta, phi):
rad = 1 / np.sqrt(
import matplotlib.pyplot as plt from miepy.materials import material from miepy import sphere #wavelength from 400nm to 1000nm wav = np.linspace(300,1100,1000) #create a material with n = 3.7 (eps = n^2) at all wavelengths eps = 1.7**2*np.ones(1000) mu = 1*np.ones(1000) dielectric = material(wav,eps,mu) #material object #calculate scattering coefficients rad = 20 # 100 nm radius Nmax = 1 # Use up to 10 multipoles m = sphere(Nmax, dielectric, rad) E_func = m.E_field(999) H_func = m.H_field(999) E = -1*E_func(R,THETA,PHI) H = -H_func(R,THETA,PHI) E = E = np.squeeze(E) Ex = E[0]*np.sin(THETA)*np.cos(PHI) + E[1]*np.cos(THETA)*np.cos(PHI) - E[2]*np.sin(PHI) Ey = E[0]*np.sin(THETA)*np.sin(PHI) + E[1]*np.cos(THETA)*np.sin(PHI) + E[2]*np.cos(PHI) Ez = E[0]*np.cos(THETA) - E[1]*np.sin(THETA) H = np.squeeze(H)
import matplotlib.pyplot as plt
from miepy.materials import material
from miepy import sphere
#wavelength from 400nm to 1000nm
wav = np.linspace(400, 1000, 1000)
#create a material with n = 3.7 (eps = n^2) at all wavelengths
eps = 3.7**2 * np.ones(1000)
mu = 1 * np.ones(1000)
dielectric = material(wav, eps, mu) #material object
#calculate scattering coefficients
rad = 100 # 100 nm radius
Nmax = 10 # Use up to 10 multipoles
m = sphere(Nmax, dielectric, rad) #scattering object
# Figure 1: Scattering and Absorption
plt.figure(1)
plt.ticklabel_format(style='sci', axis='y', scilimits=(0, 0))
C, A = m.scattering() # Returns scat,absorp arrays
plt.plot(m.wav, C, label="Scattering", linewidth=2)
plt.plot(m.wav, A, label="Absorption", linewidth=2)
plt.legend()
plt.xlabel("Wavelength (nm)")
plt.ylabel("Scattering Intensity")
# Figure 2: Scattering per multipole
plt.figure(2)
plt.ticklabel_format(style='sci', axis='y', scilimits=(0, 0))
plt.plot(m.wav, C, label="Total", linewidth=2) #plot total scattering