def test_05_old_wiscombe_non_absorbing(self):
# OLD MIEV0 Test Case 1
m = complex(1.5, 0.0)
x = 10
s1 = 4.322E+00 + 4.868E+00 * 1j
G = abs(2 * s1 / x)**2
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 2.8820, delta=1e-4)
self.assertAlmostEqual(qback, G, delta=1e-4)
# OLD MIEV0 Test Case 2
m = complex(1.5, 0.0)
x = 100
s1 = 4.077E+01 + 5.175E+01 * 1j
G = abs(2 * s1 / x)**2
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 2.0944, delta=1e-4)
self.assertAlmostEqual(qback, G, delta=1e-4)
# OLD MIEV0 Test Case 3
m = complex(1.5, 0.0)
x = 1000
G = 4 * 2.576E+06 / x**2
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 2.0139, delta=1e-4)
self.assertAlmostEqual(qback, G, delta=1e-3)
# OLD MIEV0 Test Case 4
m = complex(1.5, 0.0)
x = 5000.0
G = 4 * 2.378E+08 / x**2
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 2.0086, delta=1e-4)
self.assertAlmostEqual(qback, G, delta=3e-3)
def test_nb1_rho(self):
N = 500
m = 1.5
rho = np.linspace(0.1, 20, N)
m = 1.5
x15 = rho / 2 / (m - 1)
qext, scal5, qback, g = miepython.mie(m, x15)
m = 1.1
x11 = rho / 2 / (m - 1)
qext, scal1, qback, g = miepython.mie(m, x11)
self.assertAlmostEqual(scal1[0], 0.0006616369953521216, delta=1e-6)
self.assertAlmostEqual(scal1[99], 3.449616595439377, delta=1e-6)
self.assertAlmostEqual(scal1[199], 1.6837703285684387, delta=1e-6)
self.assertAlmostEqual(scal1[299], 2.3167184401740495, delta=1e-6)
self.assertAlmostEqual(scal1[399], 2.218210809017406, delta=1e-6)
self.assertAlmostEqual(scal1[499], 1.876467571615533, delta=1e-6)
self.assertAlmostEqual(scal5[0], 2.3084093592198083e-05, delta=1e-6)
self.assertAlmostEqual(scal5[99], 4.07295075914037, delta=1e-6)
self.assertAlmostEqual(scal5[199], 1.8857586341949146, delta=1e-6)
self.assertAlmostEqual(scal5[299], 2.464763930426085, delta=1e-6)
self.assertAlmostEqual(scal5[399], 2.430569030744473, delta=1e-6)
self.assertAlmostEqual(scal5[499], 2.03583698038088, delta=1e-6)
def test_11_wiscombe_perfectly_reflecting(self):
# MIEV0 Test Case 0
m = 0
x = 0.001
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 3.3333E-12, delta=1e-13)
# MIEV0 Test Case 1
m = 0
x = 0.099
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 0.000321, delta=1e-4)
self.assertAlmostEqual(g, -0.397357, delta=1e-3)
# MIEV0 Test Case 2
m = 0
x = 0.101
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 0.000348, delta=1e-6)
self.assertAlmostEqual(g, -0.397262, delta=1e-6)
# MIEV0 Test Case 3
m = 0
x = 100
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 2.008102, delta=1e-6)
self.assertAlmostEqual(g, 0.500926, delta=1e-6)
# MIEV0 Test Case 4
m = 0
x = 10000
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 2.000289, delta=1e-6)
self.assertAlmostEqual(g, 0.500070, delta=1e-6)
def test_09_single_nonmagnetic(self):
m = 1.5 - 0.5j
x = 2.5
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qext, 2.562873497454734, delta=1e-7)
self.assertAlmostEqual(qsca, 1.097071819088392, delta=1e-7)
self.assertAlmostEqual(qback, 0.123586468179818, delta=1e-7)
self.assertAlmostEqual(g, 0.748905978948507, delta=1e-7)
def test_03_bh_dielectric(self):
m = 1.55
lambda0 = 0.6328
radius = 0.525
x = 2 * np.pi * radius / lambda0
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qext, 3.10543, delta=0.00001)
self.assertAlmostEqual(qsca, 3.10543, delta=0.00001)
self.assertAlmostEqual(qback, 2.92534, delta=0.00001)
self.assertAlmostEqual(g, 0.63314, delta=0.00001)
def test_04_non_dielectric(self):
m = 1.55 - 0.1j
lambda0 = 0.6328
radius = 0.525
x = 2 * np.pi * radius / lambda0
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qext, 2.86165188243, delta=1e-7)
self.assertAlmostEqual(qsca, 1.66424911991, delta=1e-7)
self.assertAlmostEqual(qback, 0.20599534080, delta=1e-7)
self.assertAlmostEqual(g, 0.80128972639, delta=1e-7)
def test_05_wiscombe_non_absorbing(self):
# MIEV0 Test Case 5
m = complex(0.75, 0.0)
x = 0.099
s1 = 1.81756e-8 - 1.64810e-4 * 1j
G = abs(2 * s1 / x)**2
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 0.000007, delta=1e-6)
self.assertAlmostEqual(g, 0.001448, delta=1e-6)
self.assertAlmostEqual(qback, G, delta=1e-6)
# MIEV0 Test Case 6
m = complex(0.75, 0.0)
x = 0.101
s1 = 2.04875E-08 - 1.74965E-04 * 1j
G = abs(2 * s1 / x)**2
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 0.000008, delta=1e-6)
self.assertAlmostEqual(g, 0.001507, delta=1e-6)
self.assertAlmostEqual(qback, G, delta=1e-6)
# MIEV0 Test Case 7
m = complex(0.75, 0.0)
x = 10.0
s1 = -1.07857E+00 - 3.60881E-02 * 1j
G = abs(2 * s1 / x)**2
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 2.232265, delta=1e-6)
self.assertAlmostEqual(g, 0.896473, delta=1e-6)
self.assertAlmostEqual(qback, G, delta=1e-6)
# MIEV0 Test Case 8
m = complex(0.75, 0.0)
x = 1000.0
s1 = 1.70578E+01 + 4.84251E+02 * 1j
G = abs(2 * s1 / x)**2
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 1.997908, delta=1e-6)
self.assertAlmostEqual(g, 0.844944, delta=1e-6)
self.assertAlmostEqual(qback, G, delta=1e-6)
def test_nb1_x(self):
N = 500
m = 1.5
x = np.linspace(0.1, 20, N) # also in microns
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca[0], 2.3084093592198083e-05, delta=1e-6)
self.assertAlmostEqual(qsca[100], 4.105960809066763, delta=1e-6)
self.assertAlmostEqual(qsca[200], 1.9947867190110644, delta=1e-6)
self.assertAlmostEqual(qsca[300], 2.4652591512196405, delta=1e-6)
self.assertAlmostEqual(qsca[400], 2.472171798724846, delta=1e-6)
self.assertAlmostEqual(qsca[499], 2.03583698038088, delta=1e-6)
def test_08_wiscombe_more_absorbing(self):
#MIEV0 Test Case 17
m = 10.0 - 10.0j
x = 1.0
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 2.049405, delta=1e-6)
self.assertAlmostEqual(g, -0.110664, delta=1e-6)
#MIEV0 Test Case 18
m = 10.0 - 10.0j
x = 100.0
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 1.836785, delta=1e-6)
self.assertAlmostEqual(g, 0.556215, delta=1e-6)
#MIEV0 Test Case 19
m = 10.0 - 10.0j
x = 10000.0
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 1.795393, delta=1e-6)
self.assertAlmostEqual(g, 0.548194, delta=1e-6)
def test_07_wiscombe_absorbing(self):
#MIEV0 Test Case 12
m = 1.5 - 1j
x = 0.055
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 0.000011, delta=1e-6)
self.assertAlmostEqual(g, 0.000491, delta=1e-6)
#MIEV0 Test Case 13
m = 1.5 - 1j
x = 0.056
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 0.000012, delta=1e-6)
self.assertAlmostEqual(g, 0.000509, delta=1e-6)
#MIEV0 Test Case 14
m = 1.5 - 1j
x = 1
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 0.6634538, delta=1e-6)
self.assertAlmostEqual(g, 0.192136, delta=1e-6)
#MIEV0 Test Case 15
m = 1.5 - 1j
x = 100
x = 100.0
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 1.283697, delta=1e-3)
self.assertAlmostEqual(qext, 2.097502, delta=1e-2)
self.assertAlmostEqual(g, 0.850252, delta=1e-3)
#MIEV0 Test Case 16
m = 1.5 - 1j
x = 10000
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 1.236575, delta=1e-6)
self.assertAlmostEqual(qext, 2.004368, delta=1e-6)
self.assertAlmostEqual(g, 0.846309, delta=1e-6)
def test_06_wiscombe_water_absorbing(self):
#MIEV0 Test Case 9
m = complex(1.33, -0.00001)
x = 1.0
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 0.093923, delta=1e-6)
self.assertAlmostEqual(g, 0.184517, delta=1e-6)
#MIEV0 Test Case 10
m = complex(1.33, -0.00001)
x = 100.0
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qsca, 2.096594, delta=1e-6)
self.assertAlmostEqual(g, 0.868959, delta=1e-6)
#MIEV0 Test Case 11
m = complex(1.33, -0.00001)
x = 10000.0
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(g, 0.907840, delta=1e-6)
self.assertAlmostEqual(qsca, 1.723857, delta=1e-6)
def test_10_small_spheres(self):
# MIEV0 Test Case 5
m = 0.75
x = 0.099
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qext, 0.000007, delta=1e-6)
self.assertAlmostEqual(g, 0.001448, delta=1e-6)
# MIEV0 Test Case 6
m = 0.75
x = 0.101
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qext, 0.000008, delta=1e-6)
self.assertAlmostEqual(g, 0.001507, delta=1e-6)
m = 1.5 - 1j
x = 0.055
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qext, 0.101491, delta=1e-6)
self.assertAlmostEqual(g, 0.000491, delta=1e-6)
x = 0.056
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qext, 0.103347, delta=1e-6)
self.assertAlmostEqual(g, 0.000509, delta=1e-6)
m = 1e-10 - 1e10j
x = 0.099
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qext, 0.000321, delta=1e-6)
self.assertAlmostEqual(g, -0.397357, delta=1e-4)
x = 0.101
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qext, 0.000348, delta=1e-6)
self.assertAlmostEqual(g, -0.397262, delta=1e-6)
m = 0 - 1e10j
x = 0.099
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qext, 0.000321, delta=1e-6)
self.assertAlmostEqual(g, -0.397357, delta=1e-4)
x = 0.101
qext, qsca, qback, g = miepython.mie(m, x)
self.assertAlmostEqual(qext, 0.000348, delta=1e-6)
self.assertAlmostEqual(g, -0.397262, delta=1e-4)
def test_12_scatter_function(self):
x = 1.0
m = 1.5 - 1.0j
theta = np.arange(0, 181, 30)
mu = np.cos(theta * np.pi / 180)
qext, qsca, qback, g = miepython.mie(m, x)
S1, S2 = miepython.mie_S1_S2(m, x, mu)
S1 *= np.sqrt(np.pi * x**2 * qext)
S2 *= np.sqrt(np.pi * x**2 * qext)
self.assertAlmostEqual(S1[0].real, 0.584080, delta=1e-6)
self.assertAlmostEqual(S1[0].imag, 0.190515, delta=1e-6)
self.assertAlmostEqual(S2[0].real, 0.584080, delta=1e-6)
self.assertAlmostEqual(S2[0].imag, 0.190515, delta=1e-6)
self.assertAlmostEqual(S1[1].real, 0.565702, delta=1e-6)
self.assertAlmostEqual(S1[1].imag, 0.187200, delta=1e-6)
self.assertAlmostEqual(S2[1].real, 0.500161, delta=1e-6)
self.assertAlmostEqual(S2[1].imag, 0.145611, delta=1e-6)
self.assertAlmostEqual(S1[2].real, 0.517525, delta=1e-6)
self.assertAlmostEqual(S1[2].imag, 0.178443, delta=1e-6)
self.assertAlmostEqual(S2[2].real, 0.287964, delta=1e-6)
self.assertAlmostEqual(S2[2].imag, 0.041054, delta=1e-6)
self.assertAlmostEqual(S1[3].real, 0.456340, delta=1e-6)
self.assertAlmostEqual(S1[3].imag, 0.167167, delta=1e-6)
self.assertAlmostEqual(S2[3].real, 0.0362285, delta=1e-6)
self.assertAlmostEqual(S2[3].imag, -0.0618265, delta=1e-6)
self.assertAlmostEqual(S1[4].real, 0.400212, delta=1e-6)
self.assertAlmostEqual(S1[4].imag, 0.156643, delta=1e-6)
self.assertAlmostEqual(S2[4].real, -0.174875, delta=1e-6)
self.assertAlmostEqual(S2[4].imag, -0.122959, delta=1e-6)
self.assertAlmostEqual(S1[5].real, 0.362157, delta=1e-6)
self.assertAlmostEqual(S1[5].imag, 0.149391, delta=1e-6)
self.assertAlmostEqual(S2[5].real, -0.305682, delta=1e-6)
self.assertAlmostEqual(S2[5].imag, -0.143846, delta=1e-6)
self.assertAlmostEqual(S1[6].real, 0.348844, delta=1e-6)
self.assertAlmostEqual(S1[6].imag, 0.146829, delta=1e-6)
self.assertAlmostEqual(S2[6].real, -0.348844, delta=1e-6)
self.assertAlmostEqual(S2[6].imag, -0.146829, delta=1e-6)
def test_nb1_spheres(self):
N = 500
m = 1.0
r = 500 # nm
lambda0 = np.linspace(300, 800, N) # also in nm
mwater = 4 / 3 # rough approximation
mm = m / mwater
xx = 2 * np.pi * r * mwater / lambda0
qext, qsca, qback, g = miepython.mie(mm, xx)
self.assertAlmostEqual(qsca[0], 1.5525047718022498, delta=1e-6)
self.assertAlmostEqual(qsca[99], 2.1459528526672678, delta=1e-6)
self.assertAlmostEqual(qsca[199], 2.365171370327149, delta=1e-6)
self.assertAlmostEqual(qsca[299], 2.2039860928542128, delta=1e-6)
self.assertAlmostEqual(qsca[399], 1.9261758931397088, delta=1e-6)
self.assertAlmostEqual(qsca[499], 1.640006561518987, delta=1e-6)