#include "cosp_defs.H" #ifdef COSP_GFDL !--------------------------------------------------------------------- !------------ FMS version number and tagname for this file ----------- ! $Id: optics_lib.F90,v 20.0 2013/12/13 23:16:50 fms Exp $ ! $Name: tikal $ ! cosp_version = 1.3.2 #endif ! OPTICS_LIB: Optical proecures for for F90 ! Compiled/Modified: ! 07/01/06 John Haynes (haynes@atmos.colostate.edu) ! ! m_wat (subroutine) ! m_ice (subroutine) ! mie_int (subroutine) module optics_lib implicit none contains ! ---------------------------------------------------------------------------- ! subroutine M_WAT ! ---------------------------------------------------------------------------- subroutine m_wat(freq, t, n_r, n_i) implicit none ! ! Purpose: ! compute complex index of refraction of liquid water ! ! Inputs: ! [freq] frequency (GHz) ! [t] temperature (C) ! ! Outputs: ! [n_r] real part index of refraction ! [n_i] imaginary part index of refraction ! ! Reference: ! Based on the work of Ray (1972) ! ! Coded: ! 03/22/05 John Haynes (haynes@atmos.colostate.edu) ! ----- INPUTS ----- real*8, intent(in) :: freq,t ! ----- OUTPUTS ----- real*8, intent(out) :: n_r, n_i ! ----- INTERNAL ----- real*8 ld,es,ei,a,ls,sg,tm1,cos1,sin1 real*8 e_r,e_i real*8 pi complex*16 e_comp, sq ld = 100.*2.99792458E8/(freq*1E9) es = 78.54*(1-(4.579E-3*(t-25.)+1.19E-5*(t-25.)**2 & -2.8E-8*(t-25.)**3)) ei = 5.27137+0.021647*t-0.00131198*t**2 a = -(16.8129/(t+273.))+0.0609265 ls = 0.00033836*exp(2513.98/(t+273.)) sg = 12.5664E8 tm1 = (ls/ld)**(1-a) pi = acos(-1.D0) cos1 = cos(0.5*a*pi) sin1 = sin(0.5*a*pi) e_r = ei + (((es-ei)*(1.+tm1*sin1))/(1.+2*tm1*sin1+tm1**2)) e_i = (((es-ei)*tm1*cos1)/(1.+2*tm1*sin1+tm1**2)) & +((sg*ld)/1.885E11) e_comp = dcmplx(e_r,e_i) sq = sqrt(e_comp) n_r = real(sq) n_i = aimag(sq) return end subroutine m_wat ! ---------------------------------------------------------------------------- ! subroutine M_ICE ! ---------------------------------------------------------------------------- subroutine m_ice(freq,t,n_r,n_i) implicit none ! ! Purpose: ! compute complex index of refraction of ice ! ! Inputs: ! [freq] frequency (GHz) ! [t] temperature (C) ! ! Outputs: ! [n_r] real part index of refraction ! [n_i] imaginary part index of refraction ! ! Reference: ! Fortran 90 port from IDL of REFICE by Stephen G. Warren ! ! Modified: ! 05/31/05 John Haynes (haynes@atmos.colostate.edu) ! ----- INPUTS ----- real*8, intent(in) :: freq, t ! ----- OUTPUTS ----- real*8, intent(out) :: n_r,n_i ! Parameters: integer*2 :: i,lt1,lt2,nwl,nwlt parameter(nwl=468,nwlt=62) real*8 :: alam,cutice,pi,t1,t2,tk,wlmax,wlmin, & x,x1,x2,y,y1,y2,ylo,yhi real*8 :: & tabim(nwl),tabimt(nwlt,4),tabre(nwl),tabret(nwlt,4),temref(4), & wl(nwl),wlt(nwlt) ! Defines wavelength dependent complex index of refraction for ice. ! Allowable wavelength range extends from 0.045 microns to 8.6 meter ! temperature dependence only considered beyond 167 microns. ! ! interpolation is done n_r vs. log(xlam) ! n_r vs. t ! log(n_i) vs. log(xlam) ! log(n_i) vs. t ! ! Stephen G. Warren - 1983 ! Dept. of Atmospheric Sciences ! University of Washington ! Seattle, Wa 98195 ! ! Based on ! ! Warren,S.G.,1984. ! Optical constants of ice from the ultraviolet to the microwave. ! Applied Optics,23,1206-1225 ! ! Reference temperatures are -1.0,-5.0,-20.0, and -60.0 deg C data temref/272.16,268.16,253.16,213.16/ data wlmin,wlmax/0.045,8.6e6/ data cutice/167.0/ data (wl(i),i=1,114)/ & 0.4430e-01,0.4510e-01,0.4590e-01,0.4680e-01,0.4770e-01,0.4860e-01, & 0.4960e-01,0.5060e-01,0.5170e-01,0.5280e-01,0.5390e-01,0.5510e-01, & 0.5640e-01,0.5770e-01,0.5900e-01,0.6050e-01,0.6200e-01,0.6360e-01, & 0.6530e-01,0.6700e-01,0.6890e-01,0.7080e-01,0.7290e-01,0.7380e-01, & 0.7510e-01,0.7750e-01,0.8000e-01,0.8270e-01,0.8550e-01,0.8860e-01, & 0.9180e-01,0.9300e-01,0.9540e-01,0.9920e-01,0.1033e+00,0.1078e+00, & 0.1100e+00,0.1127e+00,0.1140e+00,0.1181e+00,0.1210e+00,0.1240e+00, & 0.1272e+00,0.1295e+00,0.1305e+00,0.1319e+00,0.1333e+00,0.1348e+00, & 0.1362e+00,0.1370e+00,0.1378e+00,0.1387e+00,0.1393e+00,0.1409e+00, & 0.1425e+00,0.1435e+00,0.1442e+00,0.1450e+00,0.1459e+00,0.1468e+00, & 0.1476e+00,0.1480e+00,0.1485e+00,0.1494e+00,0.1512e+00,0.1531e+00, & 0.1540e+00,0.1550e+00,0.1569e+00,0.1580e+00,0.1589e+00,0.1610e+00, & 0.1625e+00,0.1648e+00,0.1669e+00,0.1692e+00,0.1713e+00,0.1737e+00, & 0.1757e+00,0.1779e+00,0.1802e+00,0.1809e+00,0.1821e+00,0.1833e+00, & 0.1843e+00,0.1850e+00,0.1860e+00,0.1870e+00,0.1880e+00,0.1890e+00, & 0.1900e+00,0.1910e+00,0.1930e+00,0.1950e+00,0.2100e+00,0.2500e+00, & 0.3000e+00,0.3500e+00,0.4000e+00,0.4100e+00,0.4200e+00,0.4300e+00, & 0.4400e+00,0.4500e+00,0.4600e+00,0.4700e+00,0.4800e+00,0.4900e+00, & 0.5000e+00,0.5100e+00,0.5200e+00,0.5300e+00,0.5400e+00,0.5500e+00/ data (wl(i),i=115,228)/ & 0.5600e+00,0.5700e+00,0.5800e+00,0.5900e+00,0.6000e+00,0.6100e+00, & 0.6200e+00,0.6300e+00,0.6400e+00,0.6500e+00,0.6600e+00,0.6700e+00, & 0.6800e+00,0.6900e+00,0.7000e+00,0.7100e+00,0.7200e+00,0.7300e+00, & 0.7400e+00,0.7500e+00,0.7600e+00,0.7700e+00,0.7800e+00,0.7900e+00, & 0.8000e+00,0.8100e+00,0.8200e+00,0.8300e+00,0.8400e+00,0.8500e+00, & 0.8600e+00,0.8700e+00,0.8800e+00,0.8900e+00,0.9000e+00,0.9100e+00, & 0.9200e+00,0.9300e+00,0.9400e+00,0.9500e+00,0.9600e+00,0.9700e+00, & 0.9800e+00,0.9900e+00,0.1000e+01,0.1010e+01,0.1020e+01,0.1030e+01, & 0.1040e+01,0.1050e+01,0.1060e+01,0.1070e+01,0.1080e+01,0.1090e+01, & 0.1100e+01,0.1110e+01,0.1120e+01,0.1130e+01,0.1140e+01,0.1150e+01, & 0.1160e+01,0.1170e+01,0.1180e+01,0.1190e+01,0.1200e+01,0.1210e+01, & 0.1220e+01,0.1230e+01,0.1240e+01,0.1250e+01,0.1260e+01,0.1270e+01, & 0.1280e+01,0.1290e+01,0.1300e+01,0.1310e+01,0.1320e+01,0.1330e+01, & 0.1340e+01,0.1350e+01,0.1360e+01,0.1370e+01,0.1380e+01,0.1390e+01, & 0.1400e+01,0.1410e+01,0.1420e+01,0.1430e+01,0.1440e+01,0.1449e+01, & 0.1460e+01,0.1471e+01,0.1481e+01,0.1493e+01,0.1504e+01,0.1515e+01, & 0.1527e+01,0.1538e+01,0.1563e+01,0.1587e+01,0.1613e+01,0.1650e+01, & 0.1680e+01,0.1700e+01,0.1730e+01,0.1760e+01,0.1800e+01,0.1830e+01, & 0.1840e+01,0.1850e+01,0.1855e+01,0.1860e+01,0.1870e+01,0.1890e+01/ data (wl(i),i=229,342)/ & 0.1905e+01,0.1923e+01,0.1942e+01,0.1961e+01,0.1980e+01,0.2000e+01, & 0.2020e+01,0.2041e+01,0.2062e+01,0.2083e+01,0.2105e+01,0.2130e+01, & 0.2150e+01,0.2170e+01,0.2190e+01,0.2220e+01,0.2240e+01,0.2245e+01, & 0.2250e+01,0.2260e+01,0.2270e+01,0.2290e+01,0.2310e+01,0.2330e+01, & 0.2350e+01,0.2370e+01,0.2390e+01,0.2410e+01,0.2430e+01,0.2460e+01, & 0.2500e+01,0.2520e+01,0.2550e+01,0.2565e+01,0.2580e+01,0.2590e+01, & 0.2600e+01,0.2620e+01,0.2675e+01,0.2725e+01,0.2778e+01,0.2817e+01, & 0.2833e+01,0.2849e+01,0.2865e+01,0.2882e+01,0.2899e+01,0.2915e+01, & 0.2933e+01,0.2950e+01,0.2967e+01,0.2985e+01,0.3003e+01,0.3021e+01, & 0.3040e+01,0.3058e+01,0.3077e+01,0.3096e+01,0.3115e+01,0.3135e+01, & 0.3155e+01,0.3175e+01,0.3195e+01,0.3215e+01,0.3236e+01,0.3257e+01, & 0.3279e+01,0.3300e+01,0.3322e+01,0.3345e+01,0.3367e+01,0.3390e+01, & 0.3413e+01,0.3436e+01,0.3460e+01,0.3484e+01,0.3509e+01,0.3534e+01, & 0.3559e+01,0.3624e+01,0.3732e+01,0.3775e+01,0.3847e+01,0.3969e+01, & 0.4099e+01,0.4239e+01,0.4348e+01,0.4387e+01,0.4444e+01,0.4505e+01, & 0.4547e+01,0.4560e+01,0.4580e+01,0.4719e+01,0.4904e+01,0.5000e+01, & 0.5100e+01,0.5200e+01,0.5263e+01,0.5400e+01,0.5556e+01,0.5714e+01, & 0.5747e+01,0.5780e+01,0.5814e+01,0.5848e+01,0.5882e+01,0.6061e+01, & 0.6135e+01,0.6250e+01,0.6289e+01,0.6329e+01,0.6369e+01,0.6410e+01/ data (wl(i),i=343,456)/ & 0.6452e+01,0.6494e+01,0.6579e+01,0.6667e+01,0.6757e+01,0.6897e+01, & 0.7042e+01,0.7143e+01,0.7246e+01,0.7353e+01,0.7463e+01,0.7576e+01, & 0.7692e+01,0.7812e+01,0.7937e+01,0.8065e+01,0.8197e+01,0.8333e+01, & 0.8475e+01,0.8696e+01,0.8929e+01,0.9091e+01,0.9259e+01,0.9524e+01, & 0.9804e+01,0.1000e+02,0.1020e+02,0.1031e+02,0.1042e+02,0.1053e+02, & 0.1064e+02,0.1075e+02,0.1087e+02,0.1100e+02,0.1111e+02,0.1136e+02, & 0.1163e+02,0.1190e+02,0.1220e+02,0.1250e+02,0.1282e+02,0.1299e+02, & 0.1316e+02,0.1333e+02,0.1351e+02,0.1370e+02,0.1389e+02,0.1408e+02, & 0.1429e+02,0.1471e+02,0.1515e+02,0.1538e+02,0.1563e+02,0.1613e+02, & 0.1639e+02,0.1667e+02,0.1695e+02,0.1724e+02,0.1818e+02,0.1887e+02, & 0.1923e+02,0.1961e+02,0.2000e+02,0.2041e+02,0.2083e+02,0.2222e+02, & 0.2260e+02,0.2305e+02,0.2360e+02,0.2460e+02,0.2500e+02,0.2600e+02, & 0.2857e+02,0.3100e+02,0.3333e+02,0.3448e+02,0.3564e+02,0.3700e+02, & 0.3824e+02,0.3960e+02,0.4114e+02,0.4276e+02,0.4358e+02,0.4458e+02, & 0.4550e+02,0.4615e+02,0.4671e+02,0.4736e+02,0.4800e+02,0.4878e+02, & 0.5003e+02,0.5128e+02,0.5275e+02,0.5350e+02,0.5424e+02,0.5500e+02, & 0.5574e+02,0.5640e+02,0.5700e+02,0.5746e+02,0.5840e+02,0.5929e+02, & 0.6000e+02,0.6100e+02,0.6125e+02,0.6250e+02,0.6378e+02,0.6467e+02, & 0.6558e+02,0.6655e+02,0.6760e+02,0.6900e+02,0.7053e+02,0.7300e+02/ data (wl(i),i=457,468)/ & 0.7500e+02,0.7629e+02,0.8000e+02,0.8297e+02,0.8500e+02,0.8680e+02, & 0.9080e+02,0.9517e+02,0.1000e+03,0.1200e+03,0.1500e+03,0.1670e+03/ data wlt/ & 0.1670e+03,0.1778e+03,0.1884e+03, & 0.1995e+03,0.2113e+03,0.2239e+03,0.2371e+03,0.2512e+03,0.2661e+03, & 0.2818e+03,0.2985e+03,0.3162e+03,0.3548e+03,0.3981e+03,0.4467e+03, & 0.5012e+03,0.5623e+03,0.6310e+03,0.7943e+03,0.1000e+04,0.1259e+04, & 0.2500e+04,0.5000e+04,0.1000e+05,0.2000e+05,0.3200e+05,0.3500e+05, & 0.4000e+05,0.4500e+05,0.5000e+05,0.6000e+05,0.7000e+05,0.9000e+05, & 0.1110e+06,0.1200e+06,0.1300e+06,0.1400e+06,0.1500e+06,0.1600e+06, & 0.1700e+06,0.1800e+06,0.2000e+06,0.2500e+06,0.2900e+06,0.3200e+06, & 0.3500e+06,0.3800e+06,0.4000e+06,0.4500e+06,0.5000e+06,0.6000e+06, & 0.6400e+06,0.6800e+06,0.7200e+06,0.7600e+06,0.8000e+06,0.8400e+06, & 0.9000e+06,0.1000e+07,0.2000e+07,0.5000e+07,0.8600e+07/ data (tabre(i),i=1,114)/ & 0.83441, 0.83676, 0.83729, 0.83771, 0.83827, 0.84038, & 0.84719, 0.85522, 0.86047, 0.86248, 0.86157, 0.86093, & 0.86419, 0.86916, 0.87764, 0.89296, 0.91041, 0.93089, & 0.95373, 0.98188, 1.02334, 1.06735, 1.11197, 1.13134, & 1.15747, 1.20045, 1.23840, 1.27325, 1.32157, 1.38958, & 1.41644, 1.40906, 1.40063, 1.40169, 1.40934, 1.40221, & 1.39240, 1.38424, 1.38075, 1.38186, 1.39634, 1.40918, & 1.40256, 1.38013, 1.36303, 1.34144, 1.32377, 1.30605, & 1.29054, 1.28890, 1.28931, 1.30190, 1.32025, 1.36302, & 1.41872, 1.45834, 1.49028, 1.52128, 1.55376, 1.57782, & 1.59636, 1.60652, 1.61172, 1.61919, 1.62522, 1.63404, & 1.63689, 1.63833, 1.63720, 1.63233, 1.62222, 1.58269, & 1.55635, 1.52453, 1.50320, 1.48498, 1.47226, 1.45991, & 1.45115, 1.44272, 1.43498, 1.43280, 1.42924, 1.42602, & 1.42323, 1.42143, 1.41897, 1.41660, 1.41434, 1.41216, & 1.41006, 1.40805, 1.40423, 1.40067, 1.38004, 1.35085, & 1.33394, 1.32492, 1.31940, 1.31854, 1.31775, 1.31702, & 1.31633, 1.31569, 1.31509, 1.31452, 1.31399, 1.31349, & 1.31302, 1.31257, 1.31215, 1.31175, 1.31136, 1.31099/ data (tabre(i),i=115,228)/ & 1.31064, 1.31031, 1.30999, 1.30968, 1.30938, 1.30909, & 1.30882, 1.30855, 1.30829, 1.30804, 1.30780, 1.30756, & 1.30733, 1.30710, 1.30688, 1.30667, 1.30646, 1.30625, & 1.30605, 1.30585, 1.30566, 1.30547, 1.30528, 1.30509, & 1.30491, 1.30473, 1.30455, 1.30437, 1.30419, 1.30402, & 1.30385, 1.30367, 1.30350, 1.30333, 1.30316, 1.30299, & 1.30283, 1.30266, 1.30249, 1.30232, 1.30216, 1.30199, & 1.30182, 1.30166, 1.30149, 1.30132, 1.30116, 1.30099, & 1.30082, 1.30065, 1.30048, 1.30031, 1.30014, 1.29997, & 1.29979, 1.29962, 1.29945, 1.29927, 1.29909, 1.29891, & 1.29873, 1.29855, 1.29837, 1.29818, 1.29800, 1.29781, & 1.29762, 1.29743, 1.29724, 1.29705, 1.29686, 1.29666, & 1.29646, 1.29626, 1.29605, 1.29584, 1.29563, 1.29542, & 1.29521, 1.29499, 1.29476, 1.29453, 1.29430, 1.29406, & 1.29381, 1.29355, 1.29327, 1.29299, 1.29272, 1.29252, & 1.29228, 1.29205, 1.29186, 1.29167, 1.29150, 1.29130, & 1.29106, 1.29083, 1.29025, 1.28962, 1.28891, 1.28784, & 1.28689, 1.28623, 1.28521, 1.28413, 1.28261, 1.28137, & 1.28093, 1.28047, 1.28022, 1.27998, 1.27948, 1.27849/ data (tabre(i),i=229,342)/ & 1.27774, 1.27691, 1.27610, 1.27535, 1.27471, 1.27404, & 1.27329, 1.27240, 1.27139, 1.27029, 1.26901, 1.26736, & 1.26591, 1.26441, 1.26284, 1.26036, 1.25860, 1.25815, & 1.25768, 1.25675, 1.25579, 1.25383, 1.25179, 1.24967, & 1.24745, 1.24512, 1.24266, 1.24004, 1.23725, 1.23270, & 1.22583, 1.22198, 1.21548, 1.21184, 1.20790, 1.20507, & 1.20209, 1.19566, 1.17411, 1.14734, 1.10766, 1.06739, & 1.04762, 1.02650, 1.00357, 0.98197, 0.96503, 0.95962, & 0.97269, 0.99172, 1.00668, 1.02186, 1.04270, 1.07597, & 1.12954, 1.21267, 1.32509, 1.42599, 1.49656, 1.55095, & 1.59988, 1.63631, 1.65024, 1.64278, 1.62691, 1.61284, & 1.59245, 1.57329, 1.55770, 1.54129, 1.52654, 1.51139, & 1.49725, 1.48453, 1.47209, 1.46125, 1.45132, 1.44215, & 1.43366, 1.41553, 1.39417, 1.38732, 1.37735, 1.36448, & 1.35414, 1.34456, 1.33882, 1.33807, 1.33847, 1.34053, & 1.34287, 1.34418, 1.34634, 1.34422, 1.33453, 1.32897, & 1.32333, 1.31800, 1.31432, 1.30623, 1.29722, 1.28898, & 1.28730, 1.28603, 1.28509, 1.28535, 1.28813, 1.30156, & 1.30901, 1.31720, 1.31893, 1.32039, 1.32201, 1.32239/ data (tabre(i),i=343,456)/ & 1.32149, 1.32036, 1.31814, 1.31705, 1.31807, 1.31953, & 1.31933, 1.31896, 1.31909, 1.31796, 1.31631, 1.31542, & 1.31540, 1.31552, 1.31455, 1.31193, 1.30677, 1.29934, & 1.29253, 1.28389, 1.27401, 1.26724, 1.25990, 1.24510, & 1.22241, 1.19913, 1.17150, 1.15528, 1.13700, 1.11808, & 1.10134, 1.09083, 1.08734, 1.09254, 1.10654, 1.14779, & 1.20202, 1.25825, 1.32305, 1.38574, 1.44478, 1.47170, & 1.49619, 1.51652, 1.53328, 1.54900, 1.56276, 1.57317, & 1.58028, 1.57918, 1.56672, 1.55869, 1.55081, 1.53807, & 1.53296, 1.53220, 1.53340, 1.53289, 1.51705, 1.50097, & 1.49681, 1.49928, 1.50153, 1.49856, 1.49053, 1.46070, & 1.45182, 1.44223, 1.43158, 1.41385, 1.40676, 1.38955, & 1.34894, 1.31039, 1.26420, 1.23656, 1.21663, 1.20233, & 1.19640, 1.19969, 1.20860, 1.22173, 1.24166, 1.28175, & 1.32784, 1.38657, 1.46486, 1.55323, 1.60379, 1.61877, & 1.62963, 1.65712, 1.69810, 1.72065, 1.74865, 1.76736, & 1.76476, 1.75011, 1.72327, 1.68490, 1.62398, 1.59596, & 1.58514, 1.59917, 1.61405, 1.66625, 1.70663, 1.73713, & 1.76860, 1.80343, 1.83296, 1.85682, 1.87411, 1.89110/ data (tabre(i),i=457,468)/ & 1.89918, 1.90432, 1.90329, 1.88744, 1.87499, 1.86702, & 1.85361, 1.84250, 1.83225, 1.81914, 1.82268, 1.82961/ data (tabret(i,1),i=1,nwlt)/ & 1.82961, 1.83258, 1.83149, & 1.82748, 1.82224, 1.81718, 1.81204, 1.80704, 1.80250, & 1.79834, 1.79482, 1.79214, 1.78843, 1.78601, 1.78434, & 1.78322, 1.78248, 1.78201, 1.78170, 1.78160, 1.78190, & 1.78300, 1.78430, 1.78520, 1.78620, 1.78660, 1.78680, & 1.78690, 1.78700, 1.78700, 1.78710, 1.78710, 1.78720, & 1.78720, 1.78720, 1.78720, 1.78720, 1.78720, 1.78720, & 1.78720, 1.78720, 1.78720, 1.78720, 1.78720, 1.78720, & 1.78720, 1.78720, 1.78720, 1.78720, 1.78720, 1.78720, & 1.78720, 1.78720, 1.78720, 1.78720, 1.78720, 1.78720, & 1.78720, 1.78720, 1.78720, 1.78720, 1.78800/ data (tabret(i,2),i=1,nwlt)/ & 1.82961, 1.83258, 1.83149, 1.82748, & 1.82224, 1.81718, 1.81204, 1.80704, 1.80250, 1.79834, & 1.79482, 1.79214, 1.78843, 1.78601, 1.78434, 1.78322, & 1.78248, 1.78201, 1.78170, 1.78160, 1.78190, 1.78300, & 1.78430, 1.78520, 1.78610, 1.78630, 1.78640, 1.78650, & 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, & 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, & 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, & 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, & 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, & 1.78650, 1.78650, 1.78650, 1.78720/ data(tabret(i,3),i=1,nwlt)/ & 1.82961, 1.83258, 1.83149, 1.82748, 1.82224, & 1.81718, 1.81204, 1.80704, 1.80250, 1.79834, 1.79482, & 1.79214, 1.78843, 1.78601, 1.78434, 1.78322, 1.78248, & 1.78201, 1.78160, 1.78140, 1.78160, 1.78220, 1.78310, & 1.78380, 1.78390, 1.78400, 1.78400, 1.78400, 1.78400, & 1.78400, 1.78390, 1.78380, 1.78370, 1.78370, 1.78370, & 1.78370, 1.78370, 1.78370, 1.78370, 1.78370, 1.78370, & 1.78370, 1.78370, 1.78370, 1.78370, 1.78370, 1.78370, & 1.78370, 1.78370, 1.78370, 1.78370, 1.78370, 1.78370, & 1.78370, 1.78370, 1.78370, 1.78370, 1.78370, 1.78370, & 1.78370, 1.78400, 1.78450/ data (tabret(i,4),i=1,nwlt)/ & 1.82961, 1.83258, 1.83149, 1.82748, 1.82224, 1.81718, & 1.81204, 1.80704, 1.80250, 1.79834, 1.79482, 1.79214, & 1.78843, 1.78601, 1.78434, 1.78322, 1.78248, 1.78201, & 1.78150, 1.78070, 1.78010, 1.77890, 1.77790, 1.77730, & 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, & 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, & 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, & 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, & 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, & 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, & 1.77720, 1.77800/ data(tabim(i),i=1,114)/ & 0.1640e+00,0.1730e+00,0.1830e+00,0.1950e+00,0.2080e+00,0.2230e+00, & 0.2400e+00,0.2500e+00,0.2590e+00,0.2680e+00,0.2790e+00,0.2970e+00, & 0.3190e+00,0.3400e+00,0.3660e+00,0.3920e+00,0.4160e+00,0.4400e+00, & 0.4640e+00,0.4920e+00,0.5170e+00,0.5280e+00,0.5330e+00,0.5340e+00, & 0.5310e+00,0.5240e+00,0.5100e+00,0.5000e+00,0.4990e+00,0.4680e+00, & 0.3800e+00,0.3600e+00,0.3390e+00,0.3180e+00,0.2910e+00,0.2510e+00, & 0.2440e+00,0.2390e+00,0.2390e+00,0.2440e+00,0.2470e+00,0.2240e+00, & 0.1950e+00,0.1740e+00,0.1720e+00,0.1800e+00,0.1940e+00,0.2130e+00, & 0.2430e+00,0.2710e+00,0.2890e+00,0.3340e+00,0.3440e+00,0.3820e+00, & 0.4010e+00,0.4065e+00,0.4050e+00,0.3890e+00,0.3770e+00,0.3450e+00, & 0.3320e+00,0.3150e+00,0.2980e+00,0.2740e+00,0.2280e+00,0.1980e+00, & 0.1720e+00,0.1560e+00,0.1100e+00,0.8300e-01,0.5800e-01,0.2200e-01, & 0.1000e-01,0.3000e-02,0.1000e-02,0.3000e-03,0.1000e-03,0.3000e-04, & 0.1000e-04,0.3000e-05,0.1000e-05,0.7000e-06,0.4000e-06,0.2000e-06, & 0.1000e-06,0.6377e-07,0.3750e-07,0.2800e-07,0.2400e-07,0.2200e-07, & 0.1900e-07,0.1750e-07,0.1640e-07,0.1590e-07,0.1325e-07,0.8623e-08, & 0.5504e-08,0.3765e-08,0.2710e-08,0.2510e-08,0.2260e-08,0.2080e-08, & 0.1910e-08,0.1540e-08,0.1530e-08,0.1550e-08,0.1640e-08,0.1780e-08, & 0.1910e-08,0.2140e-08,0.2260e-08,0.2540e-08,0.2930e-08,0.3110e-08/ data(tabim(i),i=115,228)/ & 0.3290e-08,0.3520e-08,0.4040e-08,0.4880e-08,0.5730e-08,0.6890e-08, & 0.8580e-08,0.1040e-07,0.1220e-07,0.1430e-07,0.1660e-07,0.1890e-07, & 0.2090e-07,0.2400e-07,0.2900e-07,0.3440e-07,0.4030e-07,0.4300e-07, & 0.4920e-07,0.5870e-07,0.7080e-07,0.8580e-07,0.1020e-06,0.1180e-06, & 0.1340e-06,0.1400e-06,0.1430e-06,0.1450e-06,0.1510e-06,0.1830e-06, & 0.2150e-06,0.2650e-06,0.3350e-06,0.3920e-06,0.4200e-06,0.4440e-06, & 0.4740e-06,0.5110e-06,0.5530e-06,0.6020e-06,0.7550e-06,0.9260e-06, & 0.1120e-05,0.1330e-05,0.1620e-05,0.2000e-05,0.2250e-05,0.2330e-05, & 0.2330e-05,0.2170e-05,0.1960e-05,0.1810e-05,0.1740e-05,0.1730e-05, & 0.1700e-05,0.1760e-05,0.1820e-05,0.2040e-05,0.2250e-05,0.2290e-05, & 0.3040e-05,0.3840e-05,0.4770e-05,0.5760e-05,0.6710e-05,0.8660e-05, & 0.1020e-04,0.1130e-04,0.1220e-04,0.1290e-04,0.1320e-04,0.1350e-04, & 0.1330e-04,0.1320e-04,0.1320e-04,0.1310e-04,0.1320e-04,0.1320e-04, & 0.1340e-04,0.1390e-04,0.1420e-04,0.1480e-04,0.1580e-04,0.1740e-04, & 0.1980e-04,0.2500e-04,0.5400e-04,0.1040e-03,0.2030e-03,0.2708e-03, & 0.3511e-03,0.4299e-03,0.5181e-03,0.5855e-03,0.5899e-03,0.5635e-03, & 0.5480e-03,0.5266e-03,0.4394e-03,0.3701e-03,0.3372e-03,0.2410e-03, & 0.1890e-03,0.1660e-03,0.1450e-03,0.1280e-03,0.1030e-03,0.8600e-04, & 0.8220e-04,0.8030e-04,0.8500e-04,0.9900e-04,0.1500e-03,0.2950e-03/ data(tabim(i),i=229,342)/ & 0.4687e-03,0.7615e-03,0.1010e-02,0.1313e-02,0.1539e-02,0.1588e-02, & 0.1540e-02,0.1412e-02,0.1244e-02,0.1068e-02,0.8414e-03,0.5650e-03, & 0.4320e-03,0.3500e-03,0.2870e-03,0.2210e-03,0.2030e-03,0.2010e-03, & 0.2030e-03,0.2140e-03,0.2320e-03,0.2890e-03,0.3810e-03,0.4620e-03, & 0.5480e-03,0.6180e-03,0.6800e-03,0.7300e-03,0.7820e-03,0.8480e-03, & 0.9250e-03,0.9200e-03,0.8920e-03,0.8700e-03,0.8900e-03,0.9300e-03, & 0.1010e-02,0.1350e-02,0.3420e-02,0.7920e-02,0.2000e-01,0.3800e-01, & 0.5200e-01,0.6800e-01,0.9230e-01,0.1270e+00,0.1690e+00,0.2210e+00, & 0.2760e+00,0.3120e+00,0.3470e+00,0.3880e+00,0.4380e+00,0.4930e+00, & 0.5540e+00,0.6120e+00,0.6250e+00,0.5930e+00,0.5390e+00,0.4910e+00, & 0.4380e+00,0.3720e+00,0.3000e+00,0.2380e+00,0.1930e+00,0.1580e+00, & 0.1210e+00,0.1030e+00,0.8360e-01,0.6680e-01,0.5400e-01,0.4220e-01, & 0.3420e-01,0.2740e-01,0.2200e-01,0.1860e-01,0.1520e-01,0.1260e-01, & 0.1060e-01,0.8020e-02,0.6850e-02,0.6600e-02,0.6960e-02,0.9160e-02, & 0.1110e-01,0.1450e-01,0.2000e-01,0.2300e-01,0.2600e-01,0.2900e-01, & 0.2930e-01,0.3000e-01,0.2850e-01,0.1730e-01,0.1290e-01,0.1200e-01, & 0.1250e-01,0.1340e-01,0.1400e-01,0.1750e-01,0.2400e-01,0.3500e-01, & 0.3800e-01,0.4200e-01,0.4600e-01,0.5200e-01,0.5700e-01,0.6900e-01, & 0.7000e-01,0.6700e-01,0.6500e-01,0.6400e-01,0.6200e-01,0.5900e-01/ data(tabim(i),i=343,456)/ & 0.5700e-01,0.5600e-01,0.5500e-01,0.5700e-01,0.5800e-01,0.5700e-01, & 0.5500e-01,0.5500e-01,0.5400e-01,0.5200e-01,0.5200e-01,0.5200e-01, & 0.5200e-01,0.5000e-01,0.4700e-01,0.4300e-01,0.3900e-01,0.3700e-01, & 0.3900e-01,0.4000e-01,0.4200e-01,0.4400e-01,0.4500e-01,0.4600e-01, & 0.4700e-01,0.5100e-01,0.6500e-01,0.7500e-01,0.8800e-01,0.1080e+00, & 0.1340e+00,0.1680e+00,0.2040e+00,0.2480e+00,0.2800e+00,0.3410e+00, & 0.3790e+00,0.4090e+00,0.4220e+00,0.4220e+00,0.4030e+00,0.3890e+00, & 0.3740e+00,0.3540e+00,0.3350e+00,0.3150e+00,0.2940e+00,0.2710e+00, & 0.2460e+00,0.1980e+00,0.1640e+00,0.1520e+00,0.1420e+00,0.1280e+00, & 0.1250e+00,0.1230e+00,0.1160e+00,0.1070e+00,0.7900e-01,0.7200e-01, & 0.7600e-01,0.7500e-01,0.6700e-01,0.5500e-01,0.4500e-01,0.2900e-01, & 0.2750e-01,0.2700e-01,0.2730e-01,0.2890e-01,0.3000e-01,0.3400e-01, & 0.5300e-01,0.7550e-01,0.1060e+00,0.1350e+00,0.1761e+00,0.2229e+00, & 0.2746e+00,0.3280e+00,0.3906e+00,0.4642e+00,0.5247e+00,0.5731e+00, & 0.6362e+00,0.6839e+00,0.7091e+00,0.6790e+00,0.6250e+00,0.5654e+00, & 0.5433e+00,0.5292e+00,0.5070e+00,0.4883e+00,0.4707e+00,0.4203e+00, & 0.3771e+00,0.3376e+00,0.3056e+00,0.2835e+00,0.3170e+00,0.3517e+00, & 0.3902e+00,0.4509e+00,0.4671e+00,0.4779e+00,0.4890e+00,0.4899e+00, & 0.4873e+00,0.4766e+00,0.4508e+00,0.4193e+00,0.3880e+00,0.3433e+00/ data(tabim(i),i=457,468)/ & 0.3118e+00,0.2935e+00,0.2350e+00,0.1981e+00,0.1865e+00,0.1771e+00, & 0.1620e+00,0.1490e+00,0.1390e+00,0.1200e+00,0.9620e-01,0.8300e-01/ data(tabimt(i,1),i=1,nwlt)/ & 0.8300e-01,0.6900e-01,0.5700e-01, & 0.4560e-01,0.3790e-01,0.3140e-01,0.2620e-01,0.2240e-01,0.1960e-01, & 0.1760e-01,0.1665e-01,0.1620e-01,0.1550e-01,0.1470e-01,0.1390e-01, & 0.1320e-01,0.1250e-01,0.1180e-01,0.1060e-01,0.9540e-02,0.8560e-02, & 0.6210e-02,0.4490e-02,0.3240e-02,0.2340e-02,0.1880e-02,0.1740e-02, & 0.1500e-02,0.1320e-02,0.1160e-02,0.8800e-03,0.6950e-03,0.4640e-03, & 0.3400e-03,0.3110e-03,0.2940e-03,0.2790e-03,0.2700e-03,0.2640e-03, & 0.2580e-03,0.2520e-03,0.2490e-03,0.2540e-03,0.2640e-03,0.2740e-03, & 0.2890e-03,0.3050e-03,0.3150e-03,0.3460e-03,0.3820e-03,0.4620e-03, & 0.5000e-03,0.5500e-03,0.5950e-03,0.6470e-03,0.6920e-03,0.7420e-03, & 0.8200e-03,0.9700e-03,0.1950e-02,0.5780e-02,0.9700e-02/ data(tabimt(i,2),i=1,nwlt)/ & 0.8300e-01,0.6900e-01,0.5700e-01,0.4560e-01, & 0.3790e-01,0.3140e-01,0.2620e-01,0.2240e-01,0.1960e-01,0.1760e-01, & 0.1665e-01,0.1600e-01,0.1500e-01,0.1400e-01,0.1310e-01,0.1230e-01, & 0.1150e-01,0.1080e-01,0.9460e-02,0.8290e-02,0.7270e-02,0.4910e-02, & 0.3300e-02,0.2220e-02,0.1490e-02,0.1140e-02,0.1060e-02,0.9480e-03, & 0.8500e-03,0.7660e-03,0.6300e-03,0.5200e-03,0.3840e-03,0.2960e-03, & 0.2700e-03,0.2520e-03,0.2440e-03,0.2360e-03,0.2300e-03,0.2280e-03, & 0.2250e-03,0.2200e-03,0.2160e-03,0.2170e-03,0.2200e-03,0.2250e-03, & 0.2320e-03,0.2390e-03,0.2600e-03,0.2860e-03,0.3560e-03,0.3830e-03, & 0.4150e-03,0.4450e-03,0.4760e-03,0.5080e-03,0.5400e-03,0.5860e-03, & 0.6780e-03,0.1280e-02,0.3550e-02,0.5600e-02/ data(tabimt(i,3),i=1,nwlt)/ & 0.8300e-01,0.6900e-01,0.5700e-01,0.4560e-01,0.3790e-01, & 0.3140e-01,0.2620e-01,0.2190e-01,0.1880e-01,0.1660e-01,0.1540e-01, & 0.1470e-01,0.1350e-01,0.1250e-01,0.1150e-01,0.1060e-01,0.9770e-02, & 0.9010e-02,0.7660e-02,0.6520e-02,0.5540e-02,0.3420e-02,0.2100e-02, & 0.1290e-02,0.7930e-03,0.5700e-03,0.5350e-03,0.4820e-03,0.4380e-03, & 0.4080e-03,0.3500e-03,0.3200e-03,0.2550e-03,0.2120e-03,0.2000e-03, & 0.1860e-03,0.1750e-03,0.1660e-03,0.1560e-03,0.1490e-03,0.1440e-03, & 0.1350e-03,0.1210e-03,0.1160e-03,0.1160e-03,0.1170e-03,0.1200e-03, & 0.1230e-03,0.1320e-03,0.1440e-03,0.1680e-03,0.1800e-03,0.1900e-03, & 0.2090e-03,0.2160e-03,0.2290e-03,0.2400e-03,0.2600e-03,0.2920e-03, & 0.6100e-03,0.1020e-02,0.1810e-02/ data(tabimt(i,4),i=1,nwlt)/ & 0.8300e-01,0.6900e-01,0.5700e-01,0.4450e-01,0.3550e-01,0.2910e-01, & 0.2440e-01,0.1970e-01,0.1670e-01,0.1400e-01,0.1235e-01,0.1080e-01, & 0.8900e-02,0.7340e-02,0.6400e-02,0.5600e-02,0.5000e-02,0.4520e-02, & 0.3680e-02,0.2990e-02,0.2490e-02,0.1550e-02,0.9610e-03,0.5950e-03, & 0.3690e-03,0.2670e-03,0.2510e-03,0.2290e-03,0.2110e-03,0.1960e-03, & 0.1730e-03,0.1550e-03,0.1310e-03,0.1130e-03,0.1060e-03,0.9900e-04, & 0.9300e-04,0.8730e-04,0.8300e-04,0.7870e-04,0.7500e-04,0.6830e-04, & 0.5600e-04,0.4960e-04,0.4550e-04,0.4210e-04,0.3910e-04,0.3760e-04, & 0.3400e-04,0.3100e-04,0.2640e-04,0.2510e-04,0.2430e-04,0.2390e-04, & 0.2370e-04,0.2380e-04,0.2400e-04,0.2460e-04,0.2660e-04,0.4450e-04, & 0.8700e-04,0.1320e-03/ pi = acos(-1.0) n_r=0.0 n_i=0.0 ! // convert frequency to wavelength (um) alam=3E5/freq if((alam < wlmin) .or. (alam > wlmax)) then print *, 'm_ice: wavelength out of bounds' stop endif ! // convert temperature to K tk = t + 273.16 if (alam < cutice) then ! // region from 0.045 microns to 167.0 microns - no temperature depend do i=2,nwl if(alam < wl(i)) continue enddo x1=log(wl(i-1)) x2=log(wl(i)) y1=tabre(i-1) y2=tabre(i) x=log(alam) y=((x-x1)*(y2-y1)/(x2-x1))+y1 n_r=y y1=log(abs(tabim(i-1))) y2=log(abs(tabim(i))) y=((x-x1)*(y2-y1)/(x2-x1))+y1 n_i=exp(y) else ! // region from 167.0 microns to 8.6 meters - temperature dependence if(tk > temref(1)) tk=temref(1) if(tk < temref(4)) tk=temref(4) do 11 i=2,4 if(tk.ge.temref(i)) go to 12 11 continue 12 lt1=i lt2=i-1 do 13 i=2,nwlt if(alam.le.wlt(i)) go to 14 13 continue 14 x1=log(wlt(i-1)) x2=log(wlt(i)) y1=tabret(i-1,lt1) y2=tabret(i,lt1) x=log(alam) ylo=((x-x1)*(y2-y1)/(x2-x1))+y1 y1=tabret(i-1,lt2) y2=tabret(i,lt2) yhi=((x-x1)*(y2-y1)/(x2-x1))+y1 t1=temref(lt1) t2=temref(lt2) y=((tk-t1)*(yhi-ylo)/(t2-t1))+ylo n_r=y y1=log(abs(tabimt(i-1,lt1))) y2=log(abs(tabimt(i,lt1))) ylo=((x-x1)*(y2-y1)/(x2-x1))+y1 y1=log(abs(tabimt(i-1,lt2))) y2=log(abs(tabimt(i,lt2))) yhi=((x-x1)*(y2-y1)/(x2-x1))+y1 y=((tk-t1)*(yhi-ylo)/(t2-t1))+ylo n_i=exp(y) endif end subroutine m_ice ! ---------------------------------------------------------------------------- ! subroutine MIEINT ! ---------------------------------------------------------------------------- ! ! General purpose Mie scattering routine for single particles ! Author: R Grainger 1990 ! History: ! G Thomas, March 2005: Added calculation of Phase function and ! code to ensure correct calculation of backscatter coeficient ! Options/Extend_Source ! Subroutine MieInt(Dx, SCm, Inp, Dqv, Dqxt, Dqsc, Dbsc, Dg, Xs1, Xs2, DPh, Error) Integer * 2 Imaxx Parameter (Imaxx = 12000) Real * 4 RIMax ! largest real part of refractive index Parameter (RIMax = 2.5) Real * 4 IRIMax ! largest imaginary part of refractive index Parameter (IRIMax = -2) Integer * 2 Itermax Parameter (Itermax = 12000 * 2.5) ! must be large enough to cope with the ! largest possible nmx = x * abs(scm) + 15 ! or nmx = Dx + 4.05*Dx**(1./3.) + 2.0 Integer * 2 Imaxnp Parameter (Imaxnp = 10000) ! Change this as required ! INPUT Real * 8 Dx Complex * 16 SCm Integer * 4 Inp Real * 8 Dqv(Inp) ! OUTPUT Complex * 16 Xs1(InP) Complex * 16 Xs2(InP) Real * 8 Dqxt Real * 8 Dqsc Real * 8 Dg Real * 8 Dbsc Real * 8 DPh(InP) Integer * 4 Error ! LOCAL Integer * 2 I Integer * 2 NStop Integer * 2 NmX Integer * 4 N ! N*N > 32767 ie N > 181 Integer * 4 Inp2 Real * 8 Chi,Chi0,Chi1 Real * 8 APsi,APsi0,APsi1 Real * 8 Pi0(Imaxnp) Real * 8 Pi1(Imaxnp) Real * 8 Taun(Imaxnp) Real * 8 Psi,Psi0,Psi1 Complex * 8 Ir Complex * 16 Cm Complex * 16 A,ANM1,APB Complex * 16 B,BNM1,AMB Complex * 16 D(Itermax) Complex * 16 Sp(Imaxnp) Complex * 16 Sm(Imaxnp) Complex * 16 Xi,Xi0,Xi1 Complex * 16 Y ! ACCELERATOR VARIABLES Integer * 2 Tnp1 Integer * 2 Tnm1 Real * 8 Dn Real * 8 Rnx Real * 8 S(Imaxnp) Real * 8 T(Imaxnp) Real * 8 Turbo Real * 8 A2 Complex * 16 A1 If ((Dx.Gt.Imaxx) .Or. (InP.Gt.ImaxNP)) Then Error = 1 Return EndIf Cm = SCm Ir = 1 / Cm Y = Dx * Cm If (Dx.Lt.0.02) Then NStop = 2 Else If (Dx.Le.8.0) Then NStop = Dx + 4.00*Dx**(1./3.) + 2.0 Else If (Dx.Lt. 4200.0) Then NStop = Dx + 4.05*Dx**(1./3.) + 2.0 Else NStop = Dx + 4.00*Dx**(1./3.) + 2.0 End If End If End If NmX = Max(Real(NStop),Real(Abs(Y))) + 15. If (Nmx .gt. Itermax) then Error = 1 Return End If Inp2 = Inp+1 D(NmX) = Dcmplx(0,0) Do N = Nmx-1,1,-1 A1 = (N+1) / Y D(N) = A1 - 1/(A1+D(N+1)) End Do Do I =1,Inp2 Sm(I) = Dcmplx(0,0) Sp(I) = Dcmplx(0,0) Pi0(I) = 0 Pi1(I) = 1 End Do Psi0 = Cos(Dx) Psi1 = Sin(Dx) Chi0 =-Sin(Dx) Chi1 = Cos(Dx) APsi0 = Psi0 APsi1 = Psi1 Xi0 = Dcmplx(APsi0,Chi0) Xi1 = Dcmplx(APsi1,Chi1) Dg = 0 Dqsc = 0 Dqxt = 0 Tnp1 = 1 Do N = 1,Nstop DN = N Tnp1 = Tnp1 + 2 Tnm1 = Tnp1 - 2 A2 = Tnp1 / (DN*(DN+1D0)) Turbo = (DN+1D0) / DN Rnx = DN/Dx Psi = Dble(Tnm1)*Psi1/Dx - Psi0 APsi = Psi Chi = Tnm1*Chi1/Dx - Chi0 Xi = Dcmplx(APsi,Chi) A = ((D(N)*Ir+Rnx)*APsi-APsi1) / ((D(N)*Ir+Rnx)* Xi- Xi1) B = ((D(N)*Cm+Rnx)*APsi-APsi1) / ((D(N)*Cm+Rnx)* Xi- Xi1) Dqxt = Tnp1 * Dble(A + B) + Dqxt Dqsc = Tnp1 * (A*Conjg(A) + B*Conjg(B)) + Dqsc If (N.Gt.1) then Dg = Dg + (dN*dN - 1) * Dble(ANM1*Conjg(A) + BNM1 * Conjg(B)) / dN + TNM1 * Dble(ANM1*Conjg(BNM1)) / (dN*dN - dN) End If Anm1 = A Bnm1 = B APB = A2 * (A + B) AMB = A2 * (A - B) Do I = 1,Inp2 If (I.GT.Inp) Then S(I) = -Pi1(I) Else S(I) = Dqv(I) * Pi1(I) End If T(I) = S(I) - Pi0(I) Taun(I) = N*T(I) - Pi0(I) Sp(I) = APB * (Pi1(I) + Taun(I)) + Sp(I) Sm(I) = AMB * (Pi1(I) - Taun(I)) + Sm(I) Pi0(I) = Pi1(I) Pi1(I) = S(I) + T(I)*Turbo End Do Psi0 = Psi1 Psi1 = Psi Apsi1 = Psi1 Chi0 = Chi1 Chi1 = Chi Xi1 = Dcmplx(APsi1,Chi1) End Do If (Dg .GT.0) Dg = 2 * Dg / Dqsc Dqsc = 2 * Dqsc / Dx**2 Dqxt = 2 * Dqxt / Dx**2 Do I = 1,Inp Xs1(I) = (Sp(I)+Sm(I)) / 2 Xs2(I) = (Sp(I)-Sm(I)) / 2 Dph(I) = 2 * Dble(Xs1(I)*Conjg(Xs1(I)) + Xs2(I)*Conjg(Xs2(I))) / (Dx**2 * Dqsc) End Do Dbsc = 4 * Abs(( (Sp(Inp2)+Sm(Inp2))/2 )**2) / Dx**2 Error = 0 Return End subroutine MieInt end module optics_lib