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optics_lib.F90 @ 5086

Last change on this file since 5086 was 5086, checked in by abarral, 2 months ago
convert labeled do (f77) to do .. end do
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1	! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2	! Copyright (c) 2015, Regents of the University of Colorado
3	! All rights reserved.
4	!
5	! Redistribution and use in source and binary forms, with or without modification, are
6	! permitted provided that the following conditions are met:
7	!
8	! 1. Redistributions of source code must retain the above copyright notice, this list of
9	! conditions and the following disclaimer.
10	!
11	! 2. Redistributions in binary form must reproduce the above copyright notice, this list
12	! of conditions and the following disclaimer in the documentation and/or other
13	! materials provided with the distribution.
14	!
15	! 3. Neither the name of the copyright holder nor the names of its contributors may be
16	! used to endorse or promote products derived from this software without specific prior
17	! written permission.
18	!
19	! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
20	! EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
21	! MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL
22	! THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
23	! SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT
24	! OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
25	! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
26	! LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
27	! OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
28	!
29	! History:
30	! July 2006: John Haynes - Initial version
31	! May 2015: Dustin Swales - Modified for COSPv2.0
32	!
33	! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
34	module optics_lib
35	USE COSP_KINDS, ONLY: wp
36	use mod_cosp_error, ONLY: errorMessage
37	implicit none
38
39	contains
40
41	! ##############################################################################
42	! subroutine M_WAT
43	! ##############################################################################
44	subroutine m_wat(freq, tk, n_r, n_i)
45	! ############################################################################
46	!
47	! Purpose:
48	! compute complex index of refraction of liquid water
49	!
50	! Inputs:
51	! [freq] frequency (GHz)
52	! [tk] temperature (K)
53	!
54	! Outputs:
55	! [n_r] real part index of refraction
56	! [n_i] imaginary part index of refraction
57	!
58	! Reference:
59	! Based on the work of Ray (1972)
60	!
61	! Coded:
62	! 03/22/05 John Haynes (haynes@atmos.colostate.edu)
63	! ############################################################################
64
65	! INPUTS
66	real(wp), intent(in) :: &
67	freq, & ! Frequency (GHz)
68	tk ! Temperature (K)
69
70	! OUTPUTS
71	real(wp), intent(out) :: &
72	n_r, & ! Real part of index of refraction
73	n_i ! Imaginary part of index of refraction
74
75	! Internal variables
76	real(wp) :: ld,es,ei,a,ls,sg,tm1,cos1,sin1,e_r,e_i,pi,tc
77	complex(wp) :: e_comp, sq
78
79	tc = tk - 273.15_wp
80
81	ld = 100._wp2.99792458E8_wp/(freq1E9_wp)
82	es = 78.54_wp(1-(4.579E-3_wp(tc-25._wp)+1.19E-5_wp(tc-25._wp)*2 &
83	-2.8E-8_wp(tc-25._wp)*3))
84	ei = 5.27137_wp+0.021647_wptc-0.00131198_wptc**2
85	a = -(16.8129_wp/(tc+273._wp))+0.0609265_wp
86	ls = 0.00033836_wp*exp(2513.98_wp/(tc+273._wp))
87	sg = 12.5664E8_wp
88
89	tm1 = (ls/ld)**(1-a)
90	pi = acos(-1._wp)
91	cos1 = cos(0.5_wpapi)
92	sin1 = sin(0.5_wpapi)
93
94	e_r = ei + (((es-ei)(1.+tm1sin1))/(1._wp+2tm1sin1+tm1**2))
95	e_i = (((es-ei)tm1cos1)/(1._wp+2tm1sin1+tm1**2)) &
96	+((sg*ld)/1.885E11_wp)
97
98	!ds e_comp = cmplx(e_r,e_i,Kind=Kind(0d0))
99	e_comp = cmplx(e_r,e_i,Kind=wp)
100	sq = sqrt(e_comp)
101
102	n_r = real(sq)
103	n_i = aimag(sq)
104
105	return
106	end subroutine m_wat
107
108	! ############################################################################
109	! subroutine M_ICE
110	! ############################################################################
111	subroutine m_ice(freq,t,n_r,n_i)
112	! ##########################################################################
113	!
114	! Purpose:
115	! compute complex index of refraction of ice
116	!
117	! Inputs:
118	! [freq] frequency (GHz)
119	! [t] temperature (K)
120	!
121	! Outputs:
122	! [n_r] real part index of refraction
123	! [n_i] imaginary part index of refraction
124	!
125	! Reference:
126	! Fortran 90 port from IDL of REFICE by Stephen G. Warren
127	!
128	! Modified:
129	! 05/31/05 John Haynes (haynes@atmos.colostate.edu)
130	! ##########################################################################
131
132	! INPUTS
133	real(wp), intent(in) :: &
134	freq, & ! Frequency (GHz)
135	t ! Temperature (K)
136
137	! OUTPUTS
138	real(wp), intent(out) :: &
139	n_r, & ! Real part of index of refraction
140	n_i ! Imaginary part of index of refraction
141
142	! Internal variables
143	integer :: i,lt1,lt2
144	real(wp) :: alam,pi,t1,t2, &
145	x,x1,x2,y,y1,y2,ylo,yhi,tk
146
147
148	! Parameters:
149	integer,parameter :: &
150	nwl = 468, & !
151	nwlt = 62 !
152	real(wp),parameter,dimension(4) :: &
153	temref = [272.16,268.16,253.16,213.16]
154	real(wp),parameter :: & !
155	wlmin = 0.045, & !
156	wlmax = 8.6e6, & !
157	cutice = 167.0
158	real(wp),parameter,dimension(nwlt) :: &
159	wlt = &
160	[0.1670e+03, 0.1778e+03, 0.1884e+03, 0.1995e+03, 0.2113e+03, 0.2239e+03, &
161	0.2371e+03, 0.2512e+03, 0.2661e+03, 0.2818e+03, 0.2985e+03, 0.3162e+03, &
162	0.3548e+03, 0.3981e+03, 0.4467e+03, 0.5012e+03, 0.5623e+03, 0.6310e+03, &
163	0.7943e+03, 0.1000e+04, 0.1259e+04, 0.2500e+04, 0.5000e+04, 0.1000e+05, &
164	0.2000e+05, 0.3200e+05, 0.3500e+05, 0.4000e+05, 0.4500e+05, 0.5000e+05, &
165	0.6000e+05, 0.7000e+05, 0.9000e+05, 0.1110e+06, 0.1200e+06, 0.1300e+06, &
166	0.1400e+06, 0.1500e+06, 0.1600e+06, 0.1700e+06, 0.1800e+06, 0.2000e+06, &
167	0.2500e+06, 0.2900e+06, 0.3200e+06, 0.3500e+06, 0.3800e+06, 0.4000e+06, &
168	0.4500e+06, 0.5000e+06, 0.6000e+06, 0.6400e+06, 0.6800e+06, 0.7200e+06, &
169	0.7600e+06, 0.8000e+06, 0.8400e+06, 0.9000e+06, 0.1000e+07, 0.2000e+07, &
170	0.5000e+07,0.8600e+07]
171	real(wp),parameter,dimension(nwl) :: &
172	tabim = &
173	[0.1640e+00, 0.1730e+00, 0.1830e+00, 0.1950e+00, 0.2080e+00, 0.2230e+00, &
174	0.2400e+00, 0.2500e+00, 0.2590e+00, 0.2680e+00, 0.2790e+00, 0.2970e+00, &
175	0.3190e+00, 0.3400e+00, 0.3660e+00, 0.3920e+00, 0.4160e+00, 0.4400e+00, &
176	0.4640e+00, 0.4920e+00, 0.5170e+00, 0.5280e+00, 0.5330e+00, 0.5340e+00, &
177	0.5310e+00, 0.5240e+00, 0.5100e+00, 0.5000e+00, 0.4990e+00, 0.4680e+00, &
178	0.3800e+00, 0.3600e+00, 0.3390e+00, 0.3180e+00, 0.2910e+00, 0.2510e+00, &
179	0.2440e+00, 0.2390e+00, 0.2390e+00, 0.2440e+00, 0.2470e+00, 0.2240e+00, &
180	0.1950e+00, 0.1740e+00, 0.1720e+00, 0.1800e+00, 0.1940e+00, 0.2130e+00, &
181	0.2430e+00, 0.2710e+00, 0.2890e+00, 0.3340e+00, 0.3440e+00, 0.3820e+00, &
182	0.4010e+00, 0.4065e+00, 0.4050e+00, 0.3890e+00, 0.3770e+00, 0.3450e+00, &
183	0.3320e+00, 0.3150e+00, 0.2980e+00, 0.2740e+00, 0.2280e+00, 0.1980e+00, &
184	0.1720e+00, 0.1560e+00, 0.1100e+00, 0.8300e-01, 0.5800e-01, 0.2200e-01, &
185	0.1000e-01, 0.3000e-02, 0.1000e-02, 0.3000e-03, 0.1000e-03, 0.3000e-04, &
186	0.1000e-04, 0.3000e-05, 0.1000e-05, 0.7000e-06, 0.4000e-06, 0.2000e-06, &
187	0.1000e-06, 0.6377e-07, 0.3750e-07, 0.2800e-07, 0.2400e-07, 0.2200e-07, &
188	0.1900e-07, 0.1750e-07, 0.1640e-07, 0.1590e-07, 0.1325e-07, 0.8623e-08, &
189	0.5504e-08, 0.3765e-08, 0.2710e-08, 0.2510e-08, 0.2260e-08, 0.2080e-08, &
190	0.1910e-08, 0.1540e-08, 0.1530e-08, 0.1550e-08, 0.1640e-08, 0.1780e-08, &
191	0.1910e-08, 0.2140e-08, 0.2260e-08, 0.2540e-08, 0.2930e-08, 0.3110e-08, &
192	0.3290e-08, 0.3520e-08, 0.4040e-08, 0.4880e-08, 0.5730e-08, 0.6890e-08, &
193	0.8580e-08, 0.1040e-07, 0.1220e-07, 0.1430e-07, 0.1660e-07, 0.1890e-07, &
194	0.2090e-07, 0.2400e-07, 0.2900e-07, 0.3440e-07, 0.4030e-07, 0.4300e-07, &
195	0.4920e-07, 0.5870e-07, 0.7080e-07, 0.8580e-07, 0.1020e-06, 0.1180e-06, &
196	0.1340e-06, 0.1400e-06, 0.1430e-06, 0.1450e-06, 0.1510e-06, 0.1830e-06, &
197	0.2150e-06, 0.2650e-06, 0.3350e-06, 0.3920e-06, 0.4200e-06, 0.4440e-06, &
198	0.4740e-06, 0.5110e-06, 0.5530e-06, 0.6020e-06, 0.7550e-06, 0.9260e-06, &
199	0.1120e-05, 0.1330e-05, 0.1620e-05, 0.2000e-05, 0.2250e-05, 0.2330e-05, &
200	0.2330e-05, 0.2170e-05, 0.1960e-05, 0.1810e-05, 0.1740e-05, 0.1730e-05, &
201	0.1700e-05, 0.1760e-05, 0.1820e-05, 0.2040e-05, 0.2250e-05, 0.2290e-05, &
202	0.3040e-05, 0.3840e-05, 0.4770e-05, 0.5760e-05, 0.6710e-05, 0.8660e-05, &
203	0.1020e-04, 0.1130e-04, 0.1220e-04, 0.1290e-04, 0.1320e-04, 0.1350e-04, &
204	0.1330e-04, 0.1320e-04, 0.1320e-04, 0.1310e-04, 0.1320e-04, 0.1320e-04, &
205	0.1340e-04, 0.1390e-04, 0.1420e-04, 0.1480e-04, 0.1580e-04, 0.1740e-04, &
206	0.1980e-04, 0.2500e-04, 0.5400e-04, 0.1040e-03, 0.2030e-03, 0.2708e-03, &
207	0.3511e-03, 0.4299e-03, 0.5181e-03, 0.5855e-03, 0.5899e-03, 0.5635e-03, &
208	0.5480e-03, 0.5266e-03, 0.4394e-03, 0.3701e-03, 0.3372e-03, 0.2410e-03, &
209	0.1890e-03, 0.1660e-03, 0.1450e-03, 0.1280e-03, 0.1030e-03, 0.8600e-04, &
210	0.8220e-04, 0.8030e-04, 0.8500e-04, 0.9900e-04, 0.1500e-03, 0.2950e-03, &
211	0.4687e-03, 0.7615e-03, 0.1010e-02, 0.1313e-02, 0.1539e-02, 0.1588e-02, &
212	0.1540e-02, 0.1412e-02, 0.1244e-02, 0.1068e-02, 0.8414e-03, 0.5650e-03, &
213	0.4320e-03, 0.3500e-03, 0.2870e-03, 0.2210e-03, 0.2030e-03, 0.2010e-03, &
214	0.2030e-03, 0.2140e-03, 0.2320e-03, 0.2890e-03, 0.3810e-03, 0.4620e-03, &
215	0.5480e-03, 0.6180e-03, 0.6800e-03, 0.7300e-03, 0.7820e-03, 0.8480e-03, &
216	0.9250e-03, 0.9200e-03, 0.8920e-03, 0.8700e-03, 0.8900e-03, 0.9300e-03, &
217	0.1010e-02, 0.1350e-02, 0.3420e-02, 0.7920e-02, 0.2000e-01, 0.3800e-01, &
218	0.5200e-01, 0.6800e-01, 0.9230e-01, 0.1270e+00, 0.1690e+00, 0.2210e+00, &
219	0.2760e+00, 0.3120e+00, 0.3470e+00, 0.3880e+00, 0.4380e+00, 0.4930e+00, &
220	0.5540e+00, 0.6120e+00, 0.6250e+00, 0.5930e+00, 0.5390e+00, 0.4910e+00, &
221	0.4380e+00, 0.3720e+00, 0.3000e+00, 0.2380e+00, 0.1930e+00, 0.1580e+00, &
222	0.1210e+00, 0.1030e+00, 0.8360e-01, 0.6680e-01, 0.5400e-01, 0.4220e-01, &
223	0.3420e-01, 0.2740e-01, 0.2200e-01, 0.1860e-01, 0.1520e-01, 0.1260e-01, &
224	0.1060e-01, 0.8020e-02, 0.6850e-02, 0.6600e-02, 0.6960e-02, 0.9160e-02, &
225	0.1110e-01, 0.1450e-01, 0.2000e-01, 0.2300e-01, 0.2600e-01, 0.2900e-01, &
226	0.2930e-01, 0.3000e-01, 0.2850e-01, 0.1730e-01, 0.1290e-01, 0.1200e-01, &
227	0.1250e-01, 0.1340e-01, 0.1400e-01, 0.1750e-01, 0.2400e-01, 0.3500e-01, &
228	0.3800e-01, 0.4200e-01, 0.4600e-01, 0.5200e-01, 0.5700e-01, 0.6900e-01, &
229	0.7000e-01, 0.6700e-01, 0.6500e-01, 0.6400e-01, 0.6200e-01, 0.5900e-01, &
230	0.5700e-01, 0.5600e-01, 0.5500e-01, 0.5700e-01, 0.5800e-01, 0.5700e-01, &
231	0.5500e-01, 0.5500e-01, 0.5400e-01, 0.5200e-01, 0.5200e-01, 0.5200e-01, &
232	0.5200e-01, 0.5000e-01, 0.4700e-01, 0.4300e-01, 0.3900e-01, 0.3700e-01, &
233	0.3900e-01, 0.4000e-01, 0.4200e-01, 0.4400e-01, 0.4500e-01, 0.4600e-01, &
234	0.4700e-01, 0.5100e-01, 0.6500e-01, 0.7500e-01, 0.8800e-01, 0.1080e+00, &
235	0.1340e+00, 0.1680e+00, 0.2040e+00, 0.2480e+00, 0.2800e+00, 0.3410e+00, &
236	0.3790e+00, 0.4090e+00, 0.4220e+00, 0.4220e+00, 0.4030e+00, 0.3890e+00, &
237	0.3740e+00, 0.3540e+00, 0.3350e+00, 0.3150e+00, 0.2940e+00, 0.2710e+00, &
238	0.2460e+00, 0.1980e+00, 0.1640e+00, 0.1520e+00, 0.1420e+00, 0.1280e+00, &
239	0.1250e+00, 0.1230e+00, 0.1160e+00, 0.1070e+00, 0.7900e-01, 0.7200e-01, &
240	0.7600e-01, 0.7500e-01, 0.6700e-01, 0.5500e-01, 0.4500e-01, 0.2900e-01, &
241	0.2750e-01, 0.2700e-01, 0.2730e-01, 0.2890e-01, 0.3000e-01, 0.3400e-01, &
242	0.5300e-01, 0.7550e-01, 0.1060e+00, 0.1350e+00, 0.1761e+00, 0.2229e+00, &
243	0.2746e+00, 0.3280e+00, 0.3906e+00, 0.4642e+00, 0.5247e+00, 0.5731e+00, &
244	0.6362e+00, 0.6839e+00, 0.7091e+00, 0.6790e+00, 0.6250e+00, 0.5654e+00, &
245	0.5433e+00, 0.5292e+00, 0.5070e+00, 0.4883e+00, 0.4707e+00, 0.4203e+00, &
246	0.3771e+00, 0.3376e+00, 0.3056e+00, 0.2835e+00, 0.3170e+00, 0.3517e+00, &
247	0.3902e+00, 0.4509e+00, 0.4671e+00, 0.4779e+00, 0.4890e+00, 0.4899e+00, &
248	0.4873e+00, 0.4766e+00, 0.4508e+00, 0.4193e+00, 0.3880e+00, 0.3433e+00, &
249	0.3118e+00, 0.2935e+00, 0.2350e+00, 0.1981e+00, 0.1865e+00, 0.1771e+00, &
250	0.1620e+00, 0.1490e+00, 0.1390e+00, 0.1200e+00, 0.9620e-01, 0.8300e-01]
251	real(wp),parameter,dimension(nwl) :: &
252	wl = &
253	[0.4430e-01, 0.4510e-01, 0.4590e-01, 0.4680e-01, 0.4770e-01, 0.4860e-01, &
254	0.4960e-01, 0.5060e-01, 0.5170e-01, 0.5280e-01, 0.5390e-01, 0.5510e-01, &
255	0.5640e-01, 0.5770e-01, 0.5900e-01, 0.6050e-01, 0.6200e-01, 0.6360e-01, &
256	0.6530e-01, 0.6700e-01, 0.6890e-01, 0.7080e-01, 0.7290e-01, 0.7380e-01, &
257	0.7510e-01, 0.7750e-01, 0.8000e-01, 0.8270e-01, 0.8550e-01, 0.8860e-01, &
258	0.9180e-01, 0.9300e-01, 0.9540e-01, 0.9920e-01, 0.1033e+00, 0.1078e+00, &
259	0.1100e+00, 0.1127e+00, 0.1140e+00, 0.1181e+00, 0.1210e+00, 0.1240e+00, &
260	0.1272e+00, 0.1295e+00, 0.1305e+00, 0.1319e+00, 0.1333e+00, 0.1348e+00, &
261	0.1362e+00, 0.1370e+00, 0.1378e+00, 0.1387e+00, 0.1393e+00, 0.1409e+00, &
262	0.1425e+00, 0.1435e+00, 0.1442e+00, 0.1450e+00, 0.1459e+00, 0.1468e+00, &
263	0.1476e+00, 0.1480e+00, 0.1485e+00, 0.1494e+00, 0.1512e+00, 0.1531e+00, &
264	0.1540e+00, 0.1550e+00, 0.1569e+00, 0.1580e+00, 0.1589e+00, 0.1610e+00, &
265	0.1625e+00, 0.1648e+00, 0.1669e+00, 0.1692e+00, 0.1713e+00, 0.1737e+00, &
266	0.1757e+00, 0.1779e+00, 0.1802e+00, 0.1809e+00, 0.1821e+00, 0.1833e+00, &
267	0.1843e+00, 0.1850e+00, 0.1860e+00, 0.1870e+00, 0.1880e+00, 0.1890e+00, &
268	0.1900e+00, 0.1910e+00, 0.1930e+00, 0.1950e+00, 0.2100e+00, 0.2500e+00, &
269	0.3000e+00, 0.3500e+00, 0.4000e+00, 0.4100e+00, 0.4200e+00, 0.4300e+00, &
270	0.4400e+00, 0.4500e+00, 0.4600e+00, 0.4700e+00, 0.4800e+00, 0.4900e+00, &
271	0.5000e+00, 0.5100e+00, 0.5200e+00, 0.5300e+00, 0.5400e+00, 0.5500e+00, &
272	0.5600e+00, 0.5700e+00, 0.5800e+00, 0.5900e+00, 0.6000e+00, 0.6100e+00, &
273	0.6200e+00, 0.6300e+00, 0.6400e+00, 0.6500e+00, 0.6600e+00, 0.6700e+00, &
274	0.6800e+00, 0.6900e+00, 0.7000e+00, 0.7100e+00, 0.7200e+00, 0.7300e+00, &
275	0.7400e+00, 0.7500e+00, 0.7600e+00, 0.7700e+00, 0.7800e+00, 0.7900e+00, &
276	0.8000e+00, 0.8100e+00, 0.8200e+00, 0.8300e+00, 0.8400e+00, 0.8500e+00, &
277	0.8600e+00, 0.8700e+00, 0.8800e+00, 0.8900e+00, 0.9000e+00, 0.9100e+00, &
278	0.9200e+00, 0.9300e+00, 0.9400e+00, 0.9500e+00, 0.9600e+00, 0.9700e+00, &
279	0.9800e+00, 0.9900e+00, 0.1000e+01, 0.1010e+01, 0.1020e+01, 0.1030e+01, &
280	0.1040e+01, 0.1050e+01, 0.1060e+01, 0.1070e+01, 0.1080e+01, 0.1090e+01, &
281	0.1100e+01, 0.1110e+01, 0.1120e+01, 0.1130e+01, 0.1140e+01, 0.1150e+01, &
282	0.1160e+01, 0.1170e+01, 0.1180e+01, 0.1190e+01, 0.1200e+01, 0.1210e+01, &
283	0.1220e+01, 0.1230e+01, 0.1240e+01, 0.1250e+01, 0.1260e+01, 0.1270e+01, &
284	0.1280e+01, 0.1290e+01, 0.1300e+01, 0.1310e+01, 0.1320e+01, 0.1330e+01, &
285	0.1340e+01, 0.1350e+01, 0.1360e+01, 0.1370e+01, 0.1380e+01, 0.1390e+01, &
286	0.1400e+01, 0.1410e+01, 0.1420e+01, 0.1430e+01, 0.1440e+01, 0.1449e+01, &
287	0.1460e+01, 0.1471e+01, 0.1481e+01, 0.1493e+01, 0.1504e+01, 0.1515e+01, &
288	0.1527e+01, 0.1538e+01, 0.1563e+01, 0.1587e+01, 0.1613e+01, 0.1650e+01, &
289	0.1680e+01, 0.1700e+01, 0.1730e+01, 0.1760e+01, 0.1800e+01, 0.1830e+01, &
290	0.1840e+01, 0.1850e+01, 0.1855e+01, 0.1860e+01, 0.1870e+01, 0.1890e+01, &
291	0.1905e+01, 0.1923e+01, 0.1942e+01, 0.1961e+01, 0.1980e+01, 0.2000e+01, &
292	0.2020e+01, 0.2041e+01, 0.2062e+01, 0.2083e+01, 0.2105e+01, 0.2130e+01, &
293	0.2150e+01, 0.2170e+01, 0.2190e+01, 0.2220e+01, 0.2240e+01, 0.2245e+01, &
294	0.2250e+01, 0.2260e+01, 0.2270e+01, 0.2290e+01, 0.2310e+01, 0.2330e+01, &
295	0.2350e+01, 0.2370e+01, 0.2390e+01, 0.2410e+01, 0.2430e+01, 0.2460e+01, &
296	0.2500e+01, 0.2520e+01, 0.2550e+01, 0.2565e+01, 0.2580e+01, 0.2590e+01, &
297	0.2600e+01, 0.2620e+01, 0.2675e+01, 0.2725e+01, 0.2778e+01, 0.2817e+01, &
298	0.2833e+01, 0.2849e+01, 0.2865e+01, 0.2882e+01, 0.2899e+01, 0.2915e+01, &
299	0.2933e+01, 0.2950e+01, 0.2967e+01, 0.2985e+01, 0.3003e+01, 0.3021e+01, &
300	0.3040e+01, 0.3058e+01, 0.3077e+01, 0.3096e+01, 0.3115e+01, 0.3135e+01, &
301	0.3155e+01, 0.3175e+01, 0.3195e+01, 0.3215e+01, 0.3236e+01, 0.3257e+01, &
302	0.3279e+01, 0.3300e+01, 0.3322e+01, 0.3345e+01, 0.3367e+01, 0.3390e+01, &
303	0.3413e+01, 0.3436e+01, 0.3460e+01, 0.3484e+01, 0.3509e+01, 0.3534e+01, &
304	0.3559e+01, 0.3624e+01, 0.3732e+01, 0.3775e+01, 0.3847e+01, 0.3969e+01, &
305	0.4099e+01, 0.4239e+01, 0.4348e+01, 0.4387e+01, 0.4444e+01, 0.4505e+01, &
306	0.4547e+01, 0.4560e+01, 0.4580e+01, 0.4719e+01, 0.4904e+01, 0.5000e+01, &
307	0.5100e+01, 0.5200e+01, 0.5263e+01, 0.5400e+01, 0.5556e+01, 0.5714e+01, &
308	0.5747e+01, 0.5780e+01, 0.5814e+01, 0.5848e+01, 0.5882e+01, 0.6061e+01, &
309	0.6135e+01, 0.6250e+01, 0.6289e+01, 0.6329e+01, 0.6369e+01, 0.6410e+01, &
310	0.6452e+01, 0.6494e+01, 0.6579e+01, 0.6667e+01, 0.6757e+01, 0.6897e+01, &
311	0.7042e+01, 0.7143e+01, 0.7246e+01, 0.7353e+01, 0.7463e+01, 0.7576e+01, &
312	0.7692e+01, 0.7812e+01, 0.7937e+01, 0.8065e+01, 0.8197e+01, 0.8333e+01, &
313	0.8475e+01, 0.8696e+01, 0.8929e+01, 0.9091e+01, 0.9259e+01, 0.9524e+01, &
314	0.9804e+01, 0.1000e+02, 0.1020e+02, 0.1031e+02, 0.1042e+02, 0.1053e+02, &
315	0.1064e+02, 0.1075e+02, 0.1087e+02, 0.1100e+02, 0.1111e+02, 0.1136e+02, &
316	0.1163e+02, 0.1190e+02, 0.1220e+02, 0.1250e+02, 0.1282e+02, 0.1299e+02, &
317	0.1316e+02, 0.1333e+02, 0.1351e+02, 0.1370e+02, 0.1389e+02, 0.1408e+02, &
318	0.1429e+02, 0.1471e+02, 0.1515e+02, 0.1538e+02, 0.1563e+02, 0.1613e+02, &
319	0.1639e+02, 0.1667e+02, 0.1695e+02, 0.1724e+02, 0.1818e+02, 0.1887e+02, &
320	0.1923e+02, 0.1961e+02, 0.2000e+02, 0.2041e+02, 0.2083e+02, 0.2222e+02, &
321	0.2260e+02, 0.2305e+02, 0.2360e+02, 0.2460e+02, 0.2500e+02, 0.2600e+02, &
322	0.2857e+02, 0.3100e+02, 0.3333e+02, 0.3448e+02, 0.3564e+02, 0.3700e+02, &
323	0.3824e+02, 0.3960e+02, 0.4114e+02, 0.4276e+02, 0.4358e+02, 0.4458e+02, &
324	0.4550e+02, 0.4615e+02, 0.4671e+02, 0.4736e+02, 0.4800e+02, 0.4878e+02, &
325	0.5003e+02, 0.5128e+02, 0.5275e+02, 0.5350e+02, 0.5424e+02, 0.5500e+02, &
326	0.5574e+02, 0.5640e+02, 0.5700e+02, 0.5746e+02, 0.5840e+02, 0.5929e+02, &
327	0.6000e+02, 0.6100e+02, 0.6125e+02, 0.6250e+02, 0.6378e+02, 0.6467e+02, &
328	0.6558e+02, 0.6655e+02, 0.6760e+02, 0.6900e+02, 0.7053e+02, 0.7300e+02, &
329	0.7500e+02, 0.7629e+02, 0.8000e+02, 0.8297e+02, 0.8500e+02, 0.8680e+02, &
330	0.9080e+02, 0.9517e+02, 0.1000e+03, 0.1200e+03, 0.1500e+03, 0.1670e+03]
331	real(wp),parameter,dimension(nwlt,4) :: &
332	tabimt = reshape(source= &
333	(/0.8300e-01, 0.6900e-01, 0.5700e-01, 0.4560e-01, 0.3790e-01, 0.3140e-01, &
334	0.2620e-01, 0.2240e-01, 0.1960e-01, 0.1760e-01, 0.1665e-01, 0.1620e-01, &
335	0.1550e-01, 0.1470e-01, 0.1390e-01, 0.1320e-01, 0.1250e-01, 0.1180e-01, &
336	0.1060e-01, 0.9540e-02, 0.8560e-02, 0.6210e-02, 0.4490e-02, 0.3240e-02, &
337	0.2340e-02, 0.1880e-02, 0.1740e-02, 0.1500e-02, 0.1320e-02, 0.1160e-02, &
338	0.8800e-03, 0.6950e-03, 0.4640e-03, 0.3400e-03, 0.3110e-03, 0.2940e-03, &
339	0.2790e-03, 0.2700e-03, 0.2640e-03, 0.2580e-03, 0.2520e-03, 0.2490e-03, &
340	0.2540e-03, 0.2640e-03, 0.2740e-03, 0.2890e-03, 0.3050e-03, 0.3150e-03, &
341	0.3460e-03, 0.3820e-03, 0.4620e-03, 0.5000e-03, 0.5500e-03, 0.5950e-03, &
342	0.6470e-03, 0.6920e-03, 0.7420e-03, 0.8200e-03, 0.9700e-03, 0.1950e-02, &
343	0.5780e-02, 0.9700e-02, 0.8300e-01, 0.6900e-01, 0.5700e-01, 0.4560e-01, &
344	0.3790e-01, 0.3140e-01, 0.2620e-01, 0.2240e-01, 0.1960e-01, 0.1760e-01, &
345	0.1665e-01, 0.1600e-01, 0.1500e-01, 0.1400e-01, 0.1310e-01, 0.1230e-01, &
346	0.1150e-01, 0.1080e-01, 0.9460e-02, 0.8290e-02, 0.7270e-02, 0.4910e-02, &
347	0.3300e-02, 0.2220e-02, 0.1490e-02, 0.1140e-02, 0.1060e-02, 0.9480e-03, &
348	0.8500e-03, 0.7660e-03, 0.6300e-03, 0.5200e-03, 0.3840e-03, 0.2960e-03, &
349	0.2700e-03, 0.2520e-03, 0.2440e-03, 0.2360e-03, 0.2300e-03, 0.2280e-03, &
350	0.2250e-03, 0.2200e-03, 0.2160e-03, 0.2170e-03, 0.2200e-03, 0.2250e-03, &
351	0.2320e-03, 0.2390e-03, 0.2600e-03, 0.2860e-03, 0.3560e-03, 0.3830e-03, &
352	0.4150e-03, 0.4450e-03, 0.4760e-03, 0.5080e-03, 0.5400e-03, 0.5860e-03, &
353	0.6780e-03, 0.1280e-02, 0.3550e-02, 0.5600e-02, 0.8300e-01, 0.6900e-01, &
354	0.5700e-01, 0.4560e-01, 0.3790e-01, 0.3140e-01, 0.2620e-01, 0.2190e-01, &
355	0.1880e-01, 0.1660e-01, 0.1540e-01, 0.1470e-01, 0.1350e-01, 0.1250e-01, &
356	0.1150e-01, 0.1060e-01, 0.9770e-02, 0.9010e-02, 0.7660e-02, 0.6520e-02, &
357	0.5540e-02, 0.3420e-02, 0.2100e-02, 0.1290e-02, 0.7930e-03, 0.5700e-03, &
358	0.5350e-03, 0.4820e-03, 0.4380e-03, 0.4080e-03, 0.3500e-03, 0.3200e-03, &
359	0.2550e-03, 0.2120e-03, 0.2000e-03, 0.1860e-03, 0.1750e-03, 0.1660e-03, &
360	0.1560e-03, 0.1490e-03, 0.1440e-03, 0.1350e-03, 0.1210e-03, 0.1160e-03, &
361	0.1160e-03, 0.1170e-03, 0.1200e-03, 0.1230e-03, 0.1320e-03, 0.1440e-03, &
362	0.1680e-03, 0.1800e-03, 0.1900e-03, 0.2090e-03, 0.2160e-03, 0.2290e-03, &
363	0.2400e-03, 0.2600e-03, 0.2920e-03, 0.6100e-03, 0.1020e-02, 0.1810e-02, &
364	0.8300e-01, 0.6900e-01, 0.5700e-01, 0.4450e-01, 0.3550e-01, 0.2910e-01, &
365	0.2440e-01, 0.1970e-01, 0.1670e-01, 0.1400e-01, 0.1235e-01, 0.1080e-01, &
366	0.8900e-02, 0.7340e-02, 0.6400e-02, 0.5600e-02, 0.5000e-02, 0.4520e-02, &
367	0.3680e-02, 0.2990e-02, 0.2490e-02, 0.1550e-02, 0.9610e-03, 0.5950e-03, &
368	0.3690e-03, 0.2670e-03, 0.2510e-03, 0.2290e-03, 0.2110e-03, 0.1960e-03, &
369	0.1730e-03, 0.1550e-03, 0.1310e-03, 0.1130e-03, 0.1060e-03, 0.9900e-04, &
370	0.9300e-04, 0.8730e-04, 0.8300e-04, 0.7870e-04, 0.7500e-04, 0.6830e-04, &
371	0.5600e-04, 0.4960e-04, 0.4550e-04, 0.4210e-04, 0.3910e-04, 0.3760e-04, &
372	0.3400e-04, 0.3100e-04, 0.2640e-04, 0.2510e-04, 0.2430e-04, 0.2390e-04, &
373	0.2370e-04, 0.2380e-04, 0.2400e-04, 0.2460e-04, 0.2660e-04, 0.4450e-04, &
374	0.8700e-04, 0.1320e-03/),shape=(/nwlt,4/))
375
376	real(wp),parameter,dimension(nwl) :: &
377	tabre = &
378	[0.83441, 0.83676, 0.83729, 0.83771, 0.83827, 0.84038, &
379	0.84719, 0.85522, 0.86047, 0.86248, 0.86157, 0.86093, &
380	0.86419, 0.86916, 0.87764, 0.89296, 0.91041, 0.93089, &
381	0.95373, 0.98188, 1.02334, 1.06735, 1.11197, 1.13134, &
382	1.15747, 1.20045, 1.23840, 1.27325, 1.32157, 1.38958, &
383	1.41644, 1.40906, 1.40063, 1.40169, 1.40934, 1.40221, &
384	1.39240, 1.38424, 1.38075, 1.38186, 1.39634, 1.40918, &
385	1.40256, 1.38013, 1.36303, 1.34144, 1.32377, 1.30605, &
386	1.29054, 1.28890, 1.28931, 1.30190, 1.32025, 1.36302, &
387	1.41872, 1.45834, 1.49028, 1.52128, 1.55376, 1.57782, &
388	1.59636, 1.60652, 1.61172, 1.61919, 1.62522, 1.63404, &
389	1.63689, 1.63833, 1.63720, 1.63233, 1.62222, 1.58269, &
390	1.55635, 1.52453, 1.50320, 1.48498, 1.47226, 1.45991, &
391	1.45115, 1.44272, 1.43498, 1.43280, 1.42924, 1.42602, &
392	1.42323, 1.42143, 1.41897, 1.41660, 1.41434, 1.41216, &
393	1.41006, 1.40805, 1.40423, 1.40067, 1.38004, 1.35085, &
394	1.33394, 1.32492, 1.31940, 1.31854, 1.31775, 1.31702, &
395	1.31633, 1.31569, 1.31509, 1.31452, 1.31399, 1.31349, &
396	1.31302, 1.31257, 1.31215, 1.31175, 1.31136, 1.31099, &
397	1.31064, 1.31031, 1.30999, 1.30968, 1.30938, 1.30909, &
398	1.30882, 1.30855, 1.30829, 1.30804, 1.30780, 1.30756, &
399	1.30733, 1.30710, 1.30688, 1.30667, 1.30646, 1.30625, &
400	1.30605, 1.30585, 1.30566, 1.30547, 1.30528, 1.30509, &
401	1.30491, 1.30473, 1.30455, 1.30437, 1.30419, 1.30402, &
402	1.30385, 1.30367, 1.30350, 1.30333, 1.30316, 1.30299, &
403	1.30283, 1.30266, 1.30249, 1.30232, 1.30216, 1.30199, &
404	1.30182, 1.30166, 1.30149, 1.30132, 1.30116, 1.30099, &
405	1.30082, 1.30065, 1.30048, 1.30031, 1.30014, 1.29997, &
406	1.29979, 1.29962, 1.29945, 1.29927, 1.29909, 1.29891, &
407	1.29873, 1.29855, 1.29837, 1.29818, 1.29800, 1.29781, &
408	1.29762, 1.29743, 1.29724, 1.29705, 1.29686, 1.29666, &
409	1.29646, 1.29626, 1.29605, 1.29584, 1.29563, 1.29542, &
410	1.29521, 1.29499, 1.29476, 1.29453, 1.29430, 1.29406, &
411	1.29381, 1.29355, 1.29327, 1.29299, 1.29272, 1.29252, &
412	1.29228, 1.29205, 1.29186, 1.29167, 1.29150, 1.29130, &
413	1.29106, 1.29083, 1.29025, 1.28962, 1.28891, 1.28784, &
414	1.28689, 1.28623, 1.28521, 1.28413, 1.28261, 1.28137, &
415	1.28093, 1.28047, 1.28022, 1.27998, 1.27948, 1.27849, &
416	1.27774, 1.27691, 1.27610, 1.27535, 1.27471, 1.27404, &
417	1.27329, 1.27240, 1.27139, 1.27029, 1.26901, 1.26736, &
418	1.26591, 1.26441, 1.26284, 1.26036, 1.25860, 1.25815, &
419	1.25768, 1.25675, 1.25579, 1.25383, 1.25179, 1.24967, &
420	1.24745, 1.24512, 1.24266, 1.24004, 1.23725, 1.23270, &
421	1.22583, 1.22198, 1.21548, 1.21184, 1.20790, 1.20507, &
422	1.20209, 1.19566, 1.17411, 1.14734, 1.10766, 1.06739, &
423	1.04762, 1.02650, 1.00357, 0.98197, 0.96503, 0.95962, &
424	0.97269, 0.99172, 1.00668, 1.02186, 1.04270, 1.07597, &
425	1.12954, 1.21267, 1.32509, 1.42599, 1.49656, 1.55095, &
426	1.59988, 1.63631, 1.65024, 1.64278, 1.62691, 1.61284, &
427	1.59245, 1.57329, 1.55770, 1.54129, 1.52654, 1.51139, &
428	1.49725, 1.48453, 1.47209, 1.46125, 1.45132, 1.44215, &
429	1.43366, 1.41553, 1.39417, 1.38732, 1.37735, 1.36448, &
430	1.35414, 1.34456, 1.33882, 1.33807, 1.33847, 1.34053, &
431	1.34287, 1.34418, 1.34634, 1.34422, 1.33453, 1.32897, &
432	1.32333, 1.31800, 1.31432, 1.30623, 1.29722, 1.28898, &
433	1.28730, 1.28603, 1.28509, 1.28535, 1.28813, 1.30156, &
434	1.30901, 1.31720, 1.31893, 1.32039, 1.32201, 1.32239, &
435	1.32149, 1.32036, 1.31814, 1.31705, 1.31807, 1.31953, &
436	1.31933, 1.31896, 1.31909, 1.31796, 1.31631, 1.31542, &
437	1.31540, 1.31552, 1.31455, 1.31193, 1.30677, 1.29934, &
438	1.29253, 1.28389, 1.27401, 1.26724, 1.25990, 1.24510, &
439	1.22241, 1.19913, 1.17150, 1.15528, 1.13700, 1.11808, &
440	1.10134, 1.09083, 1.08734, 1.09254, 1.10654, 1.14779, &
441	1.20202, 1.25825, 1.32305, 1.38574, 1.44478, 1.47170, &
442	1.49619, 1.51652, 1.53328, 1.54900, 1.56276, 1.57317, &
443	1.58028, 1.57918, 1.56672, 1.55869, 1.55081, 1.53807, &
444	1.53296, 1.53220, 1.53340, 1.53289, 1.51705, 1.50097, &
445	1.49681, 1.49928, 1.50153, 1.49856, 1.49053, 1.46070, &
446	1.45182, 1.44223, 1.43158, 1.41385, 1.40676, 1.38955, &
447	1.34894, 1.31039, 1.26420, 1.23656, 1.21663, 1.20233, &
448	1.19640, 1.19969, 1.20860, 1.22173, 1.24166, 1.28175, &
449	1.32784, 1.38657, 1.46486, 1.55323, 1.60379, 1.61877, &
450	1.62963, 1.65712, 1.69810, 1.72065, 1.74865, 1.76736, &
451	1.76476, 1.75011, 1.72327, 1.68490, 1.62398, 1.59596, &
452	1.58514, 1.59917, 1.61405, 1.66625, 1.70663, 1.73713, &
453	1.76860, 1.80343, 1.83296, 1.85682, 1.87411, 1.89110, &
454	1.89918, 1.90432, 1.90329, 1.88744, 1.87499, 1.86702, &
455	1.85361, 1.84250, 1.83225, 1.81914, 1.82268, 1.82961]
456	real(wp),parameter,dimension(nwlt,4) :: &
457	tabret = reshape( &
458	source =(/1.82961, 1.83258, 1.83149, &
459	1.82748, 1.82224, 1.81718, 1.81204, 1.80704, 1.80250, &
460	1.79834, 1.79482, 1.79214, 1.78843, 1.78601, 1.78434, &
461	1.78322, 1.78248, 1.78201, 1.78170, 1.78160, 1.78190, &
462	1.78300, 1.78430, 1.78520, 1.78620, 1.78660, 1.78680, &
463	1.78690, 1.78700, 1.78700, 1.78710, 1.78710, 1.78720, &
464	1.78720, 1.78720, 1.78720, 1.78720, 1.78720, 1.78720, &
465	1.78720, 1.78720, 1.78720, 1.78720, 1.78720, 1.78720, &
466	1.78720, 1.78720, 1.78720, 1.78720, 1.78720, 1.78720, &
467	1.78720, 1.78720, 1.78720, 1.78720, 1.78720, 1.78720, &
468	1.78720, 1.78720, 1.78720, 1.78720, 1.78800, &
469	1.82961, 1.83258, 1.83149, 1.82748, &
470	1.82224, 1.81718, 1.81204, 1.80704, 1.80250, 1.79834, &
471	1.79482, 1.79214, 1.78843, 1.78601, 1.78434, 1.78322, &
472	1.78248, 1.78201, 1.78170, 1.78160, 1.78190, 1.78300, &
473	1.78430, 1.78520, 1.78610, 1.78630, 1.78640, 1.78650, &
474	1.78650, 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, &
475	1.78650, 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, &
476	1.78650, 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, &
477	1.78650, 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, &
478	1.78650, 1.78650, 1.78650, 1.78650, 1.78650, 1.78650, &
479	1.78650, 1.78650, 1.78650, 1.78720, &
480	1.82961, 1.83258, 1.83149, 1.82748, 1.82224, &
481	1.81718, 1.81204, 1.80704, 1.80250, 1.79834, 1.79482, &
482	1.79214, 1.78843, 1.78601, 1.78434, 1.78322, 1.78248, &
483	1.78201, 1.78160, 1.78140, 1.78160, 1.78220, 1.78310, &
484	1.78380, 1.78390, 1.78400, 1.78400, 1.78400, 1.78400, &
485	1.78400, 1.78390, 1.78380, 1.78370, 1.78370, 1.78370, &
486	1.78370, 1.78370, 1.78370, 1.78370, 1.78370, 1.78370, &
487	1.78370, 1.78370, 1.78370, 1.78370, 1.78370, 1.78370, &
488	1.78370, 1.78370, 1.78370, 1.78370, 1.78370, 1.78370, &
489	1.78370, 1.78370, 1.78370, 1.78370, 1.78370, 1.78370, &
490	1.78370, 1.78400, 1.78450, &
491	1.82961, 1.83258, 1.83149, 1.82748, 1.82224, 1.81718, &
492	1.81204, 1.80704, 1.80250, 1.79834, 1.79482, 1.79214, &
493	1.78843, 1.78601, 1.78434, 1.78322, 1.78248, 1.78201, &
494	1.78150, 1.78070, 1.78010, 1.77890, 1.77790, 1.77730, &
495	1.77720, 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, &
496	1.77720, 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, &
497	1.77720, 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, &
498	1.77720, 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, &
499	1.77720, 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, &
500	1.77720, 1.77720, 1.77720, 1.77720, 1.77720, 1.77720, &
501	1.77720, 1.77800/),shape=(/nwlt,4/))
502
503	! #####################################################################
504	! Defines wavelength dependent complex index of refraction for ice.
505	! Allowable wavelength range extends from 0.045 microns to 8.6 meter
506	! temperature dependence only considered beyond 167 microns.
507	!
508	! interpolation is done n_r vs. log(xlam)
509	! n_r vs. t
510	! log(n_i) vs. log(xlam)
511	! log(n_i) vs. t
512	!
513	! Stephen G. Warren - 1983
514	! Dept. of Atmospheric Sciences
515	! University of Washington
516	! Seattle, Wa 98195
517	!
518	! Based on
519	!
520	! Warren,S.G.,1984.
521	! Optical constants of ice from the ultraviolet to the microwave.
522	! Applied Optics,23,1206-1225
523	!
524	! Reference temperatures are -1.0,-5.0,-20.0, and -60.0 deg C
525	! #####################################################################
526
527	pi = acos(-1._wp)
528	n_r = 0._wp
529	n_i = 0._wp
530	tk = t
531
532	! Convert frequency to wavelength (um)
533	alam=3E5_wp/freq
534	if((alam < wlmin) .or. (alam > wlmax)) then
535	call errorMessage('FATAL ERROR(optics/optics_lib.f90:m_ice): wavelength out of bounds')
536	return
537	endif
538
539	if (alam < cutice) then
540	! Region from 0.045 microns to 167.0 microns - no temperature depend
541	x1 = log(wl(i-1))
542	x2 = log(wl(i))
543	y1 = tabre(i-1)
544	y2 = tabre(i)
545	x = log(alam)
546	y = ((x-x1)*(y2-y1)/(x2-x1))+y1
547	n_r = y
548	y1 = log(abs(tabim(i-1)))
549	y2 = log(abs(tabim(i)))
550	y = ((x-x1)*(y2-y1)/(x2-x1))+y1
551	n_i = exp(y)
552	else
553	! Region from 167.0 microns to 8.6 meters - temperature dependence
554	if(tk > temref(1)) tk=temref(1)
555	if(tk < temref(4)) tk=temref(4)
556	do i=2,4
557	if(tk>=temref(i)) go to 12
558	enddo
559	12 lt1 = i
560	lt2 = i-1
561	do i=2,nwlt
562	if(alam<=wlt(i)) go to 14
563	enddo
564	14 x1 = log(wlt(i-1))
565	x2 = log(wlt(i))
566	y1 = tabret(i-1,lt1)
567	y2 = tabret(i,lt1)
568	x = log(alam)
569	ylo = ((x-x1)*(y2-y1)/(x2-x1))+y1
570	y1 = tabret(i-1,lt2)
571	y2 = tabret(i,lt2)
572	yhi = ((x-x1)*(y2-y1)/(x2-x1))+y1
573	t1 = temref(lt1)
574	t2 = temref(lt2)
575	y = ((tk-t1)*(yhi-ylo)/(t2-t1))+ylo
576	n_r = y
577	y1 = log(abs(tabimt(i-1,lt1)))
578	y2 = log(abs(tabimt(i,lt1)))
579	ylo = ((x-x1)*(y2-y1)/(x2-x1))+y1
580	y1 = log(abs(tabimt(i-1,lt2)))
581	y2 = log(abs(tabimt(i,lt2)))
582	yhi = ((x-x1)*(y2-y1)/(x2-x1))+y1
583	y = ((tk-t1)*(yhi-ylo)/(t2-t1))+ylo
584	n_i = exp(y)
585	endif
586	end subroutine m_ice
587
588	! ############################################################################
589	! subroutine MIEINT
590	! ############################################################################
591	Subroutine MieInt(Dx, SCm, Inp, Dqv, Dqxt, Dqsc, Dbsc, Dg, Xs1, Xs2, DPh, Error)
592	! ##########################################################################
593	!
594	! General purpose Mie scattering routine for single particles
595	! Author: R Grainger 1990
596	! History:
597	! G Thomas, March 2005: Added calculation of Phase function and
598	! code to ensure correct calculation of backscatter coeficient
599	! Options/Extend_Source
600	!
601	! ##########################################################################
602	! INPUTS
603	integer, intent(in) :: &
604	Inp
605	real(wp),intent(in) :: &
606	Dx !
607	real(wp),intent(in),dimension(Inp) :: &
608	Dqv
609	Complex(wp),intent(in) :: &
610	SCm!
611
612	! OUTPUTS
613	Complex(wp),intent(out),dimension(InP) :: &
614	Xs1, & !
615	Xs2 !
616	real(wp),intent(out) :: &
617	Dqxt, & !
618	Dqsc, & !
619	Dg, & !
620	Dbsc !
621	real(wp),intent(out),dimension(InP) :: &
622	DPh
623	integer :: &
624	Error !!
625
626	! PARAMETERS
627	Integer,parameter :: &
628	Imaxx = 12000, & !
629	Itermax = 30000, & ! Must be large enough to cope with the
630	! largest possible nmx = x * abs(scm) + 15
631	! or nmx = Dx + 4.05Dx*(1./3.) + 2.0
632	Imaxnp = 10000 ! Change this as required
633	Real(wp),parameter :: &
634	RIMax=2.5, & ! Largest real part of refractive index
635	IRIMax = -2 ! Largest imaginary part of refractive index
636
637	! Internal variables
638	Integer :: I, NStop, NmX, N, Inp2
639	Real(wp) :: Chi,Chi0,Chi1,APsi,APsi0,APsi1,Psi,Psi0,Psi1
640	Real(wp),dimension(Imaxnp) :: Pi0,Pi1,Taun
641	Complex(wp) :: Ir,Cm,A,ANM1,APB,B,BNM1,AMB,Xi,Xi0,Xi1,Y
642	Complex(wp),dimension(Itermax) :: D
643	Complex(wp),dimension(Imaxnp) :: Sp,Sm!
644
645	! ACCELERATOR VARIABLES
646	Integer :: Tnp1,Tnm1
647	Real(wp) :: Dn, Rnx,Turbo,A2
648	real(wp),dimension(Imaxnp) :: S,T
649	Complex(wp) :: A1
650
651	If ((Dx>Imaxx) .Or. (InP>ImaxNP)) Then
652	Error = 1
653	Return
654	EndIf
655	Cm = SCm
656	Ir = 1 / Cm
657	Y = Dx * Cm
658	If (Dx<0.02) Then
659	NStop = 2
660	Else
661	If (Dx<=8.0) Then
662	NStop = Dx + 4.00Dx*(1./3.) + 2.0
663	Else
664	If (Dx< 4200.0) Then
665	NStop = Dx + 4.05Dx*(1./3.) + 2.0
666	Else
667	NStop = Dx + 4.00Dx*(1./3.) + 2.0
668	End If
669	End If
670	End If
671	NmX = Max(Real(NStop),Real(Abs(Y))) + 15.
672	If (Nmx > Itermax) then
673	Error = 1
674	Return
675	End If
676	Inp2 = Inp+1
677	!ds D(NmX) = cmplx(0,0,Kind=Kind(0d0))
678	D(NmX) = cmplx(0,0,Kind=wp)
679	Do N = Nmx-1,1,-1
680	A1 = (N+1) / Y
681	D(N) = A1 - 1/(A1+D(N+1))
682	End Do
683	Do I =1,Inp2
684	Sm(I) = cmplx(0,0,Kind=wp)
685	!ds Sm(I) = cmplx(0,0,Kind=Kind(0d0))
686	Sp(I) = cmplx(0,0,Kind=wp)
687	!ds Sp(I) = cmplx(0,0,Kind=Kind(0d0))
688	Pi0(I) = 0
689	Pi1(I) = 1
690	End Do
691	Psi0 = Cos(Dx)
692	Psi1 = Sin(Dx)
693	Chi0 =-Sin(Dx)
694	Chi1 = Cos(Dx)
695	APsi0 = Psi0
696	APsi1 = Psi1
697	Xi0 = cmplx(APsi0,Chi0,Kind=wp)
698	!ds Xi0 = cmplx(APsi0,Chi0,Kind=Kind(0d0))
699	Xi1 = cmplx(APsi1,Chi1,Kind=wp)
700	!ds Xi1 = cmplx(APsi1,Chi1,Kind=Kind(0d0))
701	Dg = 0
702	Dqsc = 0
703	Dqxt = 0
704	Tnp1 = 1
705	Do N = 1,Nstop
706	DN = N
707	Tnp1 = Tnp1 + 2
708	Tnm1 = Tnp1 - 2
709	A2 = Tnp1 / (DN*(DN+1._wp))
710	!ds A2 = Tnp1 / (DN*(DN+1D0))
711	Turbo = (DN+1._wp) / DN
712	!ds Turbo = (DN+1D0) / DN
713	Rnx = DN/Dx
714	Psi = Tnm1*Psi1/Dx - Psi0
715	!ds Psi = Dble(Tnm1)*Psi1/Dx - Psi0
716	APsi = Psi
717	Chi = Tnm1*Chi1/Dx - Chi0
718	Xi = cmplx(APsi,Chi,Kind=wp)
719	!ds Xi = cmplx(APsi,Chi,Kind=Kind(0d0))
720	A = ((D(N)Ir+Rnx)APsi-APsi1) / ((D(N)Ir+Rnx) Xi- Xi1)
721	B = ((D(N)Cm+Rnx)APsi-APsi1) / ((D(N)Cm+Rnx) Xi- Xi1)
722	Dqxt = Tnp1*(A + B)+ Dqxt
723	!ds Dqxt = Tnp1 * Dble(A + B) + Dqxt
724	Dqsc = Tnp1 * (AConjg(A) + BConjg(B)) + Dqsc
725	If (N>1) then
726	Dg = Dg + (dNdN - 1) (ANM1Conjg(A) + BNM1 Conjg(B)) / dN + TNM1 (ANM1Conjg(BNM1)) / (dN*dN - dN)
727	!ds Dg = Dg + (dNdN - 1) Dble(ANM1Conjg(A) + BNM1 Conjg(B)) / dN + TNM1 * Dble(ANM1Conjg(BNM1)) / (dNdN - dN)
728	End If
729	Anm1 = A
730	Bnm1 = B
731	APB = A2 * (A + B)
732	AMB = A2 * (A - B)
733	Do I = 1,Inp2
734	If (I>Inp) Then
735	S(I) = -Pi1(I)
736	Else
737	S(I) = Dqv(I) * Pi1(I)
738	End If
739	T(I) = S(I) - Pi0(I)
740	Taun(I) = N*T(I) - Pi0(I)
741	Sp(I) = APB * (Pi1(I) + Taun(I)) + Sp(I)
742	Sm(I) = AMB * (Pi1(I) - Taun(I)) + Sm(I)
743	Pi0(I) = Pi1(I)
744	Pi1(I) = S(I) + T(I)*Turbo
745	End Do
746	Psi0 = Psi1
747	Psi1 = Psi
748	Apsi1 = Psi1
749	Chi0 = Chi1
750	Chi1 = Chi
751	Xi1 = cmplx(APsi1,Chi1,Kind=wp)
752	!ds Xi1 = cmplx(APsi1,Chi1,Kind=Kind(0d0))
753	End Do
754
755	If (Dg >0) Dg = 2 * Dg / Dqsc
756	Dqsc = 2 * Dqsc / Dx**2
757	Dqxt = 2 * Dqxt / Dx**2
758	Do I = 1,Inp
759	Xs1(I) = (Sp(I)+Sm(I)) / 2
760	Xs2(I) = (Sp(I)-Sm(I)) / 2
761	Dph(I) = 2 * (Xs1(I)Conjg(Xs1(I)) + Xs2(I)Conjg(Xs2(I))) / (Dx*2 Dqsc)
762	!ds Dph(I) = 2 * Dble(Xs1(I)Conjg(Xs1(I)) + Xs2(I)Conjg(Xs2(I))) / (Dx*2 Dqsc)
763	End Do
764	Dbsc = 4 * Abs(( (Sp(Inp2)+Sm(Inp2))/2 )2) / Dx2
765	Error = 0
766	Return
767	End subroutine MieInt
768	end module optics_lib

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