distributedSCS¶

distributedSCS(refractiveIndex, diameters, percentage, wavelength, theta=array([ 0. , 0.00628319, 0.01256637, 0.01884956, 0.02513274,

0.03141593, 0.03769911, 0.0439823 , 0.05026548, 0.05654867,

0.06283185, 0.06911504, 0.07539822, 0.08168141, 0.08796459,

0.09424778, 0.10053096, 0.10681415, 0.11309734, 0.11938052,

0.12566371, 0.13194689, 0.13823008, 0.14451326, 0.15079645,

0.15707963, 0.16336282, 0.169646 , 0.17592919, 0.18221237,

0.18849556, 0.19477874, 0.20106193, 0.20734512, 0.2136283 ,

0.21991149, 0.22619467, 0.23247786, 0.23876104, 0.24504423,

0.25132741, 0.2576106 , 0.26389378, 0.27017697, 0.27646015,

0.28274334, 0.28902652, 0.29530971, 0.30159289, 0.30787608,

0.31415927, 0.32044245, 0.32672564, 0.33300882, 0.33929201,

0.34557519, 0.35185838, 0.35814156, 0.36442475, 0.37070793,

0.37699112, 0.3832743 , 0.38955749, 0.39584067, 0.40212386,

0.40840704, 0.41469023, 0.42097342, 0.4272566 , 0.43353979,

0.43982297, 0.44610616, 0.45238934, 0.45867253, 0.46495571,

0.4712389 , 0.47752208, 0.48380527, 0.49008845, 0.49637164,

0.50265482, 0.50893801, 0.5152212 , 0.52150438, 0.52778757,

0.53407075, 0.54035394, 0.54663712, 0.55292031, 0.55920349,

0.56548668, 0.57176986, 0.57805305, 0.58433623, 0.59061942,

0.5969026 , 0.60318579, 0.60946897, 0.61575216, 0.62203535,

0.62831853, 0.63460172, 0.6408849 , 0.64716809, 0.65345127,

0.65973446, 0.66601764, 0.67230083, 0.67858401, 0.6848672 ,

0.69115038, 0.69743357, 0.70371675, 0.70999994, 0.71628313,

0.72256631, 0.7288495 , 0.73513268, 0.74141587, 0.74769905,

0.75398224, 0.76026542, 0.76654861, 0.77283179, 0.77911498,

0.78539816, 0.79168135, 0.79796453, 0.80424772, 0.8105309 ,

0.81681409, 0.82309728, 0.82938046, 0.83566365, 0.84194683,

0.84823002, 0.8545132 , 0.86079639, 0.86707957, 0.87336276,

0.87964594, 0.88592913, 0.89221231, 0.8984955 , 0.90477868,

0.91106187, 0.91734505, 0.92362824, 0.92991143, 0.93619461,

0.9424778 , 0.94876098, 0.95504417, 0.96132735, 0.96761054,

0.97389372, 0.98017691, 0.98646009, 0.99274328, 0.99902646,

1.00530965, 1.01159283, 1.01787602, 1.02415921, 1.03044239,

1.03672558, 1.04300876, 1.04929195, 1.05557513, 1.06185832,

1.0681415 , 1.07442469, 1.08070787, 1.08699106, 1.09327424,

1.09955743, 1.10584061, 1.1121238 , 1.11840698, 1.12469017,

1.13097336, 1.13725654, 1.14353973, 1.14982291, 1.1561061 ,

1.16238928, 1.16867247, 1.17495565, 1.18123884, 1.18752202,

1.19380521, 1.20008839, 1.20637158, 1.21265476, 1.21893795,

1.22522113, 1.23150432, 1.23778751, 1.24407069, 1.25035388,

1.25663706, 1.26292025, 1.26920343, 1.27548662, 1.2817698 ,

1.28805299, 1.29433617, 1.30061936, 1.30690254, 1.31318573,

1.31946891, 1.3257521 , 1.33203529, 1.33831847, 1.34460166,

1.35088484, 1.35716803, 1.36345121, 1.3697344 , 1.37601758,

1.38230077, 1.38858395, 1.39486714, 1.40115032, 1.40743351,

1.41371669, 1.41999988, 1.42628306, 1.43256625, 1.43884944,

1.44513262, 1.45141581, 1.45769899, 1.46398218, 1.47026536,

1.47654855, 1.48283173, 1.48911492, 1.4953981 , 1.50168129,

1.50796447, 1.51424766, 1.52053084, 1.52681403, 1.53309721,

1.5393804 , 1.54566359, 1.55194677, 1.55822996, 1.56451314,

1.57079633, 1.57707951, 1.5833627 , 1.58964588, 1.59592907,

1.60221225, 1.60849544, 1.61477862, 1.62106181, 1.62734499,

1.63362818, 1.63991137, 1.64619455, 1.65247774, 1.65876092,

1.66504411, 1.67132729, 1.67761048, 1.68389366, 1.69017685,

1.69646003, 1.70274322, 1.7090264 , 1.71530959, 1.72159277,

1.72787596, 1.73415914, 1.74044233, 1.74672552, 1.7530087 ,

1.75929189, 1.76557507, 1.77185826, 1.77814144, 1.78442463,

1.79070781, 1.796991 , 1.80327418, 1.80955737, 1.81584055,

1.82212374, 1.82840692, 1.83469011, 1.8409733 , 1.84725648,

1.85353967, 1.85982285, 1.86610604, 1.87238922, 1.87867241,

1.88495559, 1.89123878, 1.89752196, 1.90380515, 1.91008833,

1.91637152, 1.9226547 , 1.92893789, 1.93522107, 1.94150426,

1.94778745, 1.95407063, 1.96035382, 1.966637 , 1.97292019,

1.97920337, 1.98548656, 1.99176974, 1.99805293, 2.00433611,

2.0106193 , 2.01690248, 2.02318567, 2.02946885, 2.03575204,

2.04203522, 2.04831841, 2.0546016 , 2.06088478, 2.06716797,

2.07345115, 2.07973434, 2.08601752, 2.09230071, 2.09858389,

2.10486708, 2.11115026, 2.11743345, 2.12371663, 2.12999982,

2.136283 , 2.14256619, 2.14884938, 2.15513256, 2.16141575,

2.16769893, 2.17398212, 2.1802653 , 2.18654849, 2.19283167,

2.19911486, 2.20539804, 2.21168123, 2.21796441, 2.2242476 ,

2.23053078, 2.23681397, 2.24309715, 2.24938034, 2.25566353,

2.26194671, 2.2682299 , 2.27451308, 2.28079627, 2.28707945,

2.29336264, 2.29964582, 2.30592901, 2.31221219, 2.31849538,

2.32477856, 2.33106175, 2.33734493, 2.34362812, 2.3499113 ,

2.35619449, 2.36247768, 2.36876086, 2.37504405, 2.38132723,

2.38761042, 2.3938936 , 2.40017679, 2.40645997, 2.41274316,

2.41902634, 2.42530953, 2.43159271, 2.4378759 , 2.44415908,

2.45044227, 2.45672546, 2.46300864, 2.46929183, 2.47557501,

2.4818582 , 2.48814138, 2.49442457, 2.50070775, 2.50699094,

2.51327412, 2.51955731, 2.52584049, 2.53212368, 2.53840686,

2.54469005, 2.55097323, 2.55725642, 2.56353961, 2.56982279,

2.57610598, 2.58238916, 2.58867235, 2.59495553, 2.60123872,

2.6075219 , 2.61380509, 2.62008827, 2.62637146, 2.63265464,

2.63893783, 2.64522101, 2.6515042 , 2.65778738, 2.66407057,

2.67035376, 2.67663694, 2.68292013, 2.68920331, 2.6954865 ,

2.70176968, 2.70805287, 2.71433605, 2.72061924, 2.72690242,

2.73318561, 2.73946879, 2.74575198, 2.75203516, 2.75831835,

2.76460154, 2.77088472, 2.77716791, 2.78345109, 2.78973428,

2.79601746, 2.80230065, 2.80858383, 2.81486702, 2.8211502 ,

2.82743339, 2.83371657, 2.83999976, 2.84628294, 2.85256613,

2.85884931, 2.8651325 , 2.87141569, 2.87769887, 2.88398206,

2.89026524, 2.89654843, 2.90283161, 2.9091148 , 2.91539798,

2.92168117, 2.92796435, 2.93424754, 2.94053072, 2.94681391,

2.95309709, 2.95938028, 2.96566346, 2.97194665, 2.97822984,

2.98451302, 2.99079621, 2.99707939, 3.00336258, 3.00964576,

3.01592895, 3.02221213, 3.02849532, 3.0347785 , 3.04106169,

3.04734487, 3.05362806, 3.05991124, 3.06619443, 3.07247762,

3.0787608 , 3.08504399, 3.09132717, 3.09761036, 3.10389354,

3.11017673, 3.11645991, 3.1227431 , 3.12902628, 3.13530947,

3.14159265]))

This function calculates the mean differential scattering cross section of a particle size distribution (described by a cumulative probability function). Note that this result shows the behavior of the distribution, which is not the behavior of any of the particles.

Parameters :	refrativeIndex : real / complex The refractive index of the particles. The real part of the index is the classical (as used in Snell’s law) and the complex is related to light absorption particleDiameters : numpy.ndarray (N) A list of particle diameters to be calculated percentage : numpy.ndarray (N) The value of the cumulative distribution function (CDF) of the particle diameter distribution sampled at the points given in the particleDiameter array wavelength : real, meters The wavelength of the light source theta : numpy.ndarray (M), radians A list of scattering angles to be calculated. If not given, defaults to a 501-element array from 0 to 180deg
Returns :	(sigma1, sigma2) : tuple of numpy.ndarray (M) The differential scattering cross sections for the given distribution. \(\sigma_1\) stands for light that is polarized perpendicular to the propagation plane, and \(\sigma_2\) for light polarized parallel to the propagation plane
Raises :	ValueError : If the particle diameter which is being calculated forces the creation of too big matrices (happens when the Mie parameter (:math:`2pi r over lambda) is higher than approximately 180)