forked from paulricchiazzi/SBDART
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathspectra.f
4558 lines (4325 loc) · 213 KB
/
spectra.f
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
c file: spectra.f
c
c external routines: salbedo,suralb,raysig,rayleigh,zensun,solirr
c setfilt,filter
c
c internal routines: rdspec,snow,clearw,lakew,seaw,sand,vegeta
c meteo, goese,goesw,avhr81,avhr82,avhr91,avhr92,
c avhr101,avhr102,avhr111,avhr112,gtr1,gtr2,nm410
c nm936,usersat,mfrsr1,mfrsr2,mfrsr3,mfrsr4,mfrsr5,
c mfrsr6,avhr83,avhr84,avhr85,setlow,sun1s,sunlow,
c sunmod
c
c internal modules: albblk, sunblk, fltblk
c=======================================================================
module albblk ! albedo data base
use params, only: kr
implicit none
save
integer, parameter :: mxwl=5000, mxbc=101
real(kr), dimension(mxwl) :: wlalb,alb
real(kr) :: wndspd,wndang,chlor,salin
real(kr) :: hssa,hasym,hotspt,hotwdth
real(kr) :: rliso,rlvol,rlgeo,rlhot,rlwdth
integer :: nna=0,ibdrf
end module albblk
c-----------------------------------------------------------------------
function salbedo(wl)
c
c input: wl
c output: surface albedo
c
use params, only : one, zero, kr
use albblk, only : nna, alb, wlalb
implicit none
integer :: j
real(kr) :: wl, wt, salbedo
c mfl debugging
character (len=9) :: num1
character (len=9) :: num2
if(nna.eq.0) return ! such as for isalb eq 7
write(num1, '(f9.3)') wlalb(1)
write(num2, '(f9.3)') wlalb(nna)
if(wl.lt.wlalb(1))
& call errmsg(18,'SALBEDO--spectral range error, wlinf lt '//num1)
if(wl.gt.wlalb(nna))
& call errmsg(18,'SALBEDO--spectral range error, wlsup gt '//num2)
call locate(wlalb,nna,wl,j)
wt=(wl-wlalb(j))/(wlalb(j+1)-wlalb(j))
wt=max(zero,min(one,wt))
salbedo=alb(j)*(1.-wt)+alb(j+1)*wt
return
end
c-----------------------------------------------------------------------
subroutine suralb(isalb,albcon,sc)
c
c purpose: specify surface composition. Must be called before SALBEDO
c
c input: isalb surface type
c -1 -spectral surface albedo read from "albedo.dat"
c 0 -user specified, spectrally uniform, surface albedo
c 1 -snow
c 2 -clear water
c 3 -lake water
c 4 -sea water
c 5 -sand
c 6 -vegetation
c 7 -ocean bdrf model (from 6s)
c 8 -hapke bdrf model
c 10 -combination of snow, seawater, sand and vegetation
c
c isalb
c 0 albcon -- constant surface albedo
c
c 7 sc -- ocean reflection parameters
c sc(1)=Oceanic pigment concentration in mg/m3
c sc(2)=wind speed in meters/second
c sc(3)=wind direction azimuth angle (degrees)
c sc(4)=oceanic salinity in parts per thousand
c
c 8 sc -- hapke bdrf model parameters
c sc(1)=surface particle single scattering albedo
c sc(2)=surface particle asymmetry factor
c sc(3)=hot spot magnitude
c sc(4)=width of hotspot
c
c 9 sc -- Ross-thick Li-sparse bdrf model parameters
c sc(1)=isotropic coefficient
c sc(2)=volumetric coefficient
c sc(3)=geometric shadowing coefficient
c sc(4)=hot spot magnitude
c sc(5)=hot spot width
c
c 10 sc -- surface component fractions
c sc(1)=fraction of snow
c sc(2)=fraction of ocean
c sc(3)=fraction of sand
c sc(4)=fraction of vegetation
c
use params, only: kr
use albblk, only: mxwl, nna, alb, wlalb,ibdrf,
& wndspd, wndang, salin, chlor,
& hssa, hasym, hotspt, hotwdth,
& rliso,rlvol,rlgeo,rlhot,rlwdth
implicit none
integer :: isalb
real(kr) :: albcon, sc(5), albx(mxwl), mui
nna=mxwl
c mfl if(isalb.eq.-1) then
c return
c endif
c mfl
c print *, 'isalb = ', isalb
select case (isalb)
case (-1) ; call rdspec('albedo.dat',wlalb,alb,nna)
case (0)
alb(1:2)=albcon
wlalb(1:2)=(/0._kr,huge(0._kr)/)
nna=2
case (1) ; call snow(wlalb,alb,nna)
case (2) ; call clearw(wlalb,alb,nna)
case (3) ; call lakew(wlalb,alb,nna)
case (4) ; call seaw(wlalb,alb,nna)
case (5) ; call sand(wlalb,alb,nna)
case (6) ; call vegeta(wlalb,alb,nna)
case (-7,7) ! ocean reflectance model
ibdrf=1
nna=0
chlor=sc(1)
wndspd=sc(2)
salin=sc(3)
case (-8,8) ! hapke bdrf model
ibdrf=2
nna=0
hssa=sc(1)
hasym=sc(2)
hotspt=sc(3)
hotwdth=sc(4)
case (-9,9) ! ross-thick, li-sparse bdrf model
ibdrf=3
nna=0
rliso=sc(1)
rlvol=sc(2)
rlgeo=sc(3)
rlhot=sc(4)
rlwdth=sc(5)
case (10) ! spectral mixture
call snow(wlalb,albx,nna) ; alb=albx*sc(1)
call seaw(wlalb,albx,nna) ; alb=albx*sc(2)+alb
call sand(wlalb,albx,nna) ; alb=albx*sc(3)+alb
call vegeta(wlalb,albx,nna) ; alb=albx*sc(4)+alb
case default
print *,'ERROR in suralb --- illegal value of isalb',isalb
stop
end select
return
end
c=======================================================================
function raysig(v)
c purpose:
c calculate molecular rayleigh scattering coefficient
c using approximation of shettle et al., 1980 (appl. opt., 2873-4)
c with the depolarization = 0.0279 instead of 0.035
c for temperature = 273 k & pressure = 1 atm.
c
c input:
c v wavenumber cm-1
c
c output:
c raysig scattering coefficient (km-1)
c optical depth = raysig * (p/pzero)*(tzero/t)*dz
use params, only: kr
implicit none
real(kr), parameter :: fit1=9.38076e+18,
& fit2=-1.08426e+09
real(kr) :: v, raysig
raysig = v**4/(fit1+fit2*v**2)
return
end
c=======================================================================
subroutine rayleigh(wl,z,p,t,nz,dtaur)
c purpose:
c
c input:
c wl wavelength in microns
c z altitude array, z(1)=0 (km)
c p pressure array, p(1) at surface (millibars)
c t temperature array, t(1) at surface (kelvin)
c nz number of atmospheric layers
c
c output:
c dtaur increments of rayleigh scattering optical depth
c dtaur(nz) represents the optical depth of the bottom layer
c
use params, only: mxly, one, zero, pzero, tzero, kr
implicit none
integer :: i, im, nz
real(kr) :: z(*),p(*),t(*),dtaur(*),raysig,sig, dz, rhom, rhop, wl
c
dtaur(1:nz)=0.
c rayleigh scattering coefficient (1/km)
sig=raysig(10000./wl)
dtaur(1)=sig*(p(nz)/pzero)/(t(nz)/tzero)*5. ! assume 5km scale ht.
do i=2,nz
im=nz-i+1
rhom=(p(im)/pzero)/(t(im)/tzero)
rhop=(p(im+1)/pzero)/(t(im+1)/tzero)
dz=z(im+1)-z(im)
if(rhom.eq.rhop) then
dtaur(i)=.5*sig*dz*(rhom+rhop)
else
dtaur(i)=sig*dz*(rhop-rhom)/log(rhop/rhom)
endif
enddo
return
end
c=======================================================================
function bdref(wvnmlo, wvnmhi, mur, mui, phir )
c Supplies surface bi-directional reflectivity.
c
c NOTE 1: Bidirectional reflectivity in DISORT is defined
c by Eq. 39 in STWL.
c NOTE 2: Both MUR and MUI (cosines of reflection and incidence
c angles) are positive.
c
c INPUT:
c
c WVNMLO : Lower wavenumber (inv cm) of spectral interval
c
c WVNMHI : Upper wavenumber (inv cm) of spectral interval
c
c MUR : Cosine of angle of reflection (positive)
c
c MUI : Cosine of angle of incidence (positive)
c
c PHIR : Difference of azimuth angles of incidence and reflection
c (radians)
c
c
c Called by- DREF, SURFAC, BDREFCHK
c +-------------------------------------------------------------------+
c
c .. Scalar Arguments ..
use albblk, only: ibdrf
use params, only: kr
implicit none
real(kr) :: phid, phir, mur, mui, wvnmhi, wvnmlo, wl, bdref, blim
wl=20000./(wvnmhi+wvnmlo)
select case (ibdrf)
case (1); call seabdrf(wl,mui,mur,phir,bdref)
case (2); call hapkbdrf(mui,mur,phir,bdref)
case (3); call rtlsbdrf(mui,mur,phir,bdref)
case default
print *, 'Error in BDREF --- illegal value of ibdrf',ibdrf
stop
end select
return
end
c=======================================================================
subroutine hapkbdrf(ui,ur,phir,bdrf)
c returns hapke bdrf factor
c (http://stratus.ssec.wisc.edu/streamer_web/userman/surfalb.html)
c
c ui cosine of incident angle (positive)
c ur cosine of reflection angle (positive)
c phir difference of solar and viewing azimuth (radians)
c
c output:
c bdref surface reflectance
use params, only: kr, pi
use albblk, only:
& hssa, ! ground particle single scattering albedo (0,1)
& hasym, ! ground particle asymmetry factor (-1,1)
& hotspt, ! hot spot amplitude factor
& hotwdth ! hot spot width factor
implicit none
real(kr) ::
& bdrf, ! returned bdrf value
& s, ! angle between incomming and reflected ray
& coss, ! cosine of s
& ur, ! cosine of reflected zenith angle
& ui, ! cosine of incident zenith angle
& phir, ! azimuth between incident and reflected rays
& pfun, ! henyey greenstein scattering function
& pfun0, ! h.g. function at coss=1
& b0, ! hot spot factor
& bfun, ! hot spot function
& hfunr, ! multiple scattering function (reflection)
& hfuni ! multiple scattering function (incidence)
coss=ui * ur +sqrt(1.-ur**2)*sqrt(1.-ui**2)*cos(pi-phir)
s=acos(coss)
pfun=(1.-hasym**2)/(1+hasym**2+2*hasym*coss)**1.5
pfun0=(1.-hasym**2)/(1+hasym)**3
b0=hotspt/(hssa*pfun0)
bfun=b0/(1.+tan(s/2)/hotwdth)
hfunr=(1.+2*ur)/(1.+2.*ur*sqrt(1.-hssa))
hfuni=(1.+2*ui)/(1.+2.*ui*sqrt(1.-hssa))
bdrf=(1.+bfun)*pfun + hfunr*hfuni - 1.
bdrf=.25*hssa*bdrf/(ur+ui)
return
end
c=======================================================================
subroutine rtlsbdrf(mui,mur,phir,bdrf)
c returns ross-thick, li-sparse bdrf factor
c (Ross, 1981; Li and Strahler, 1992).
c (http://stratus.ssec.wisc.edu/streamer_web/userman/surfalb.html)
c
c mui cosine of incident angle (positive)
c mur cosine of reflection angle (positive)
c phir difference of solar and viewing azimuth (radians)
c
c output:
c bdref surface reflectance
use params, only: kr, pi
use albblk, only:
& rliso, ! isotropic coefficient
& rlvol, ! volumetric coefficient
& rlgeo, ! geometric coefficient
& rlhot, ! hot spot magnitude
& rlwdth ! hot spot width
implicit none
real(kr) :: sp, vza, sza, tanvzap, tanszap, vzap, szap, cossp,
& dd, secsum, cost, t, coss, sins, s, f1, f2, mui, mur,
& ui, ur, phir, bdrf, cosra
ui=max(mui,.01_kr)
ur=max(mur,.01_kr)
cosra=cos(pi-phir)
coss=ui * ur +sqrt(1.-ur**2)*sqrt(1.-ui**2)*cosra
coss=max(-1._kr,min(coss,1._kr))
s=acos(coss)
sins=sin(s)
! thick canopy reflectance kernel
f1=(pi/2-s)*coss+sins
f1=f1/(ui+ur)-pi/4.
vza=acos(ur)
sza=acos(ui)
tanvzap=rlwdth*tan(vza)
tanszap=rlwdth*tan(sza)
if(rlwdth.eq.1._kr) then
vzap=vza
szap=sza
else
vzap=atan(tanvzap)
szap=atan(tanszap)
endif
cossp=cos(szap)*cos(vzap)+sin(szap)*sin(vzap)*cosra
cossp=max(-1._kr,min(cossp,1._kr))
dd=tanszap**2+tanvzap**2-2*tanszap*tanvzap*cosra
secsum=1./cos(szap)+1./cos(vzap)
cost=rlhot*sqrt(dd+(tanszap*tanvzap*sin(pi-phir))**2)
cost=cost/secsum
cost=max(-1._kr,min(cost,1._kr))
t=acos(cost)
! sparse object reflectance kernel
f2=(t-sin(t)*cost)*secsum/pi ! sparse object kernel
f2=f2-1./cos(vzap)+.5*(1.+cossp)/(cos(szap)*cos(vzap))
bdrf=rliso+rlvol*f1+rlgeo*f2
return
end
c=======================================================================
subroutine seabdrf(wl,mus,muv,phir,bdref)
c returns reflectance of sea surface due to surface reflection,
c foam and subsurface particulates and rayleigh scattering
c
c input:
c wl wavelength (um)
c mus cosine of solar zenith angle (0-1)
c muv cosine of viewing zenith angle (0-1)
c phir difference of solar and viewing azimuth (radians)
c
c output:
c bdref surface reflectance
use params, only: kr, pi
use albblk, only:
& wndspd, ! wind speed in m/s
& wndang, ! solar_azimuth - wind_azimuth (degrees)
& chlor, ! chlorphyll conentration (mg/m3)
& salin ! salinity (ppt) sea water 32-37 fresh water < .5
implicit none
real(kr) :: wl,ts,tv,sunaz,rgl,bdref,mus,muv,phir
real(kr), save :: wllast=0., wndwt=-1., nr, ni, rsw, rfoam
! foam parameters from koepke, 1984
real(kr), parameter ::
& wndc1=2.951e-6, ! coefficient 1 of foam area formula
& wndc2=3.52, ! coefficient 2 of foam area formula
& rfco=0.22 ! average albedo of foam +- 0.11 (koepke)
if(wllast.ne.wl) then
call indwat(wl,chlor,nr,ni) ! index of refraction
call morcasiwat(wl,chlor,rsw) ! sub-surface contribution (lambertian)
if(chlor .eq. 0.) rsw=0.
wndwt=wndc1*wndspd**wndc2 ! area covered by foam
rfoam=wndwt*rfco ! foam reflectance (lambertian)
wllast=wl
endif
call sunglint(wndspd,nr,ni,mus,muv,phir,rgl)
bdref=rfoam+(1.-wndwt)*rgl+(1.-rfoam)*rsw
return
end
c=======================================================================
subroutine morcasiwat(wl,c,rsw)
c
c spectral diffuse attenuation coefficient of case i waters as predicted
c by morel within the spectral range 400-700nm (1988, journal of geophysical
c research, vol.93, no c9, pp 10749-10768)
c
c this subroutine copied whole from tanre's 6s code.
c
c input parameters: wl wavelength (in micrometers)
c c pigment concentration
c (chlorophyll + pheophytin mg/m3)
c output parameter: rsw reflectance of water
c
c according morel,1988, we use:
c
c kd spectral value of the attenuation coefficient for
c downwelling irradiance
c with: kd=kw+xc*c**e
c kw spectral value of the diffuse attenuation coefficient
c for pure oceanic water
c xc, e spectral coefficients to compute the diffuse attenuation
c coefficient for pigment
c bb total backscattering coefficient
c with: bb=0.5*bw+bbt*b
c bw spectral value of the molecular scattering coefficient of water
c bbt,b parameters to compute the scattering coefficients of pigments
c
c rsw subsurface contribution to ocean reflectivity (transfered to above
c the surface by averaging fresnel transmission through surface)
c
c with: rsw=(0.33/u)*(bb/kd) where u is depends on rsw
c
use params, only: kr
implicit none
real(kr) :: kw,kd,tkw(61),txc(61),te(61),tbw(61),
& wl,c,rsw,xc,e,bw,bb,b,bbt,u1,r1,u2,err
integer :: iwl
data tkw/
& 0.0209,0.0200,0.0196,0.0189,0.0183,
& 0.0182,0.0171,0.0170,0.0168,0.0166,
& 0.0168,0.0170,0.0173,0.0174,0.0175,
& 0.0184,0.0194,0.0203,0.0217,0.0240,
& 0.0271,0.0320,0.0384,0.0445,0.0490,
& 0.0505,0.0518,0.0543,0.0568,0.0615,
& 0.0640,0.0640,0.0717,0.0762,0.0807,
& 0.0940,0.1070,0.1280,0.1570,0.2000,
& 0.2530,0.2790,0.2960,0.3030,0.3100,
& 0.3150,0.3200,0.3250,0.3300,0.3400,
& 0.3500,0.3700,0.4050,0.4180,0.4300,
& 0.4400,0.4500,0.4700,0.5000,0.5500,
& 0.6500/
data txc/
& 0.1100,0.1110,0.1125,0.1135,0.1126,
& 0.1104,0.1078,0.1065,0.1041,0.0996,
& 0.0971,0.0939,0.0896,0.0859,0.0823,
& 0.0788,0.0746,0.0726,0.0690,0.0660,
& 0.0636,0.0600,0.0578,0.0540,0.0498,
& 0.0475,0.0467,0.0450,0.0440,0.0426,
& 0.0410,0.0400,0.0390,0.0375,0.0360,
& 0.0340,0.0330,0.0328,0.0325,0.0330,
& 0.0340,0.0350,0.0360,0.0375,0.0385,
& 0.0400,0.0420,0.0430,0.0440,0.0445,
& 0.0450,0.0460,0.0475,0.0490,0.0515,
& 0.0520,0.0505,0.0440,0.0390,0.0340,
& 0.0300/
data te/
& 0.668,0.672,0.680,0.687,0.693,
& 0.701,0.707,0.708,0.707,0.704,
& 0.701,0.699,0.700,0.703,0.703,
& 0.703,0.703,0.704,0.702,0.700,
& 0.700,0.695,0.690,0.685,0.680,
& 0.675,0.670,0.665,0.660,0.655,
& 0.650,0.645,0.640,0.630,0.623,
& 0.615,0.610,0.614,0.618,0.622,
& 0.626,0.630,0.634,0.638,0.642,
& 0.647,0.653,0.658,0.663,0.667,
& 0.672,0.677,0.682,0.687,0.695,
& 0.697,0.693,0.665,0.640,0.620,
& 0.600/
data tbw/
& 0.0076,0.0072,0.0068,0.0064,0.0061,
& 0.0058,0.0055,0.0052,0.0049,0.0047,
& 0.0045,0.0043,0.0041,0.0039,0.0037,
& 0.0036,0.0034,0.0033,0.0031,0.0030,
& 0.0029,0.0027,0.0026,0.0025,0.0024,
& 0.0023,0.0022,0.0022,0.0021,0.0020,
& 0.0019,0.0018,0.0018,0.0017,0.0017,
& 0.0016,0.0016,0.0015,0.0015,0.0014,
& 0.0014,0.0013,0.0013,0.0012,0.0012,
& 0.0011,0.0011,0.0010,0.0010,0.0010,
& 0.0010,0.0009,0.0008,0.0008,0.0008,
& 0.0007,0.0007,0.0007,0.0007,0.0007,
& 0.0007/
if (wl.lt.0.400.or.wl.gt.0.700)then
rsw=0.000
goto 60
endif
iwl=1+nint((wl-0.400)/0.005)
kw=tkw(iwl)
xc=txc(iwl)
e=te(iwl)
bw=tbw(iwl)
c
if (abs(c).lt.0.0001)then
bb=0.5*bw
kd=kw
else
b=0.30*c**0.62
bbt=0.002+0.02*(0.5-0.25*log10(c))*0.550/wl
bb=0.5*bw+bbt*b
kd=kw+xc*c**e
endif
u1=0.75
r1=0.33*bb/u1/kd
50 u2=0.90*(1.-r1)/(1.+2.25*r1)
rsw=0.33*bb/u2/kd
err=abs((rsw-r1)/rsw)
if (err.lt.0.0001)goto 60
r1=rsw
goto 50
60 return
end
c=======================================================================
subroutine indwat(wl,xsal,nr,ni)
c
c input parameters: wl=wavelength (in micrometers)
c xsal=salinity (in ppt), if xsal<0 then 34.3ppt by default
c output parameters: nr=index of refraction of sea water
c ni=extinction coefficient of sea water
c
c temperature dependence of ni ignored
c
c
use params, only: kr
implicit none
integer, parameter :: ntab=860
integer :: i
real(kr), parameter :: nrc=0.006, nic=0.000
real(kr) :: wltab(ntab),mrtab(ntab),mitab(ntab),nr,ni,wl,xsal,wt
c (1) for 0.01 - 1.e7 microns : Segelstein, D., 1981:
c "The Complex Refractive Index of Water", M.S. Thesis,
c University of Missouri--Kansas City
c (2) for 10. - 1.e7 microns: Ray, P., 1972: Broadband Complex
c Refractive Indices of Ice and Water, Appl. Opt. 11,
c 1836-1844
c (There is a new reference, Wieliczka, D. et al., Appl. Opt.
c 28, 1714-1719, 1989, with some updated data for the IR)
data wltab(1:50)/
& 1.000e-02, 1.099e-02, 1.200e-02, 1.300e-02, 1.400e-02,
& 1.600e-02, 1.799e-02, 2.000e-02, 2.198e-02, 2.399e-02,
& 2.600e-02, 2.799e-02, 2.999e-02, 3.199e-02, 3.396e-02,
& 3.598e-02, 3.802e-02, 3.999e-02, 4.198e-02, 4.395e-02,
& 4.603e-02, 4.797e-02, 5.000e-02, 5.200e-02, 5.395e-02,
& 5.598e-02, 5.794e-02, 5.998e-02, 6.194e-02, 6.397e-02,
& 6.607e-02, 6.808e-02, 6.998e-02, 7.194e-02, 7.396e-02,
& 7.603e-02, 7.798e-02, 7.998e-02, 8.203e-02, 8.395e-02,
& 8.590e-02, 8.790e-02, 8.995e-02, 9.205e-02, 9.397e-02,
& 9.594e-02, 9.795e-02, 1.000e-01, 1.021e-01, 1.040e-01/
data wltab(51:100)/
& 1.059e-01, 1.079e-01, 1.099e-01, 1.119e-01, 1.140e-01,
& 1.159e-01, 1.180e-01, 1.200e-01, 1.219e-01, 1.239e-01,
& 1.259e-01, 1.279e-01, 1.300e-01, 1.321e-01, 1.340e-01,
& 1.361e-01, 1.380e-01, 1.400e-01, 1.419e-01, 1.439e-01,
& 1.459e-01, 1.479e-01, 1.500e-01, 1.520e-01, 1.542e-01,
& 1.560e-01, 1.581e-01, 1.600e-01, 1.622e-01, 1.641e-01,
& 1.660e-01, 1.679e-01, 1.698e-01, 1.722e-01, 1.742e-01,
& 1.750e-01, 1.799e-01, 1.849e-01, 1.901e-01, 1.950e-01,
& 2.000e-01, 2.051e-01, 2.099e-01, 2.148e-01, 2.198e-01,
& 2.249e-01, 2.301e-01, 2.350e-01, 2.399e-01, 2.449e-01/
data wltab(101:150)/
& 2.500e-01, 2.553e-01, 2.600e-01, 2.648e-01, 2.698e-01,
& 2.748e-01, 2.799e-01, 2.851e-01, 2.897e-01, 2.951e-01,
& 2.999e-01, 3.048e-01, 3.097e-01, 3.148e-01, 3.199e-01,
& 3.251e-01, 3.304e-01, 3.350e-01, 3.396e-01, 3.451e-01,
& 3.499e-01, 3.548e-01, 3.598e-01, 3.648e-01, 3.698e-01,
& 3.750e-01, 3.802e-01, 3.846e-01, 3.899e-01, 3.954e-01,
& 3.999e-01, 4.046e-01, 4.102e-01, 4.149e-01, 4.198e-01,
& 4.246e-01, 4.295e-01, 4.345e-01, 4.395e-01, 4.446e-01,
& 4.498e-01, 4.550e-01, 4.603e-01, 4.645e-01, 4.699e-01,
& 4.753e-01, 4.797e-01, 4.853e-01, 4.898e-01, 4.955e-01/
data wltab(151:200)/
& 5.000e-01, 5.047e-01, 5.105e-01, 5.152e-01, 5.200e-01,
& 5.248e-01, 5.297e-01, 5.346e-01, 5.395e-01, 5.445e-01,
& 5.495e-01, 5.546e-01, 5.598e-01, 5.649e-01, 5.702e-01,
& 5.754e-01, 5.794e-01, 5.848e-01, 5.902e-01, 5.957e-01,
& 5.998e-01, 6.053e-01, 6.095e-01, 6.152e-01, 6.194e-01,
& 6.252e-01, 6.295e-01, 6.353e-01, 6.397e-01, 6.456e-01,
& 6.501e-01, 6.546e-01, 6.607e-01, 6.653e-01, 6.699e-01,
& 6.745e-01, 6.808e-01, 6.855e-01, 6.902e-01, 6.950e-01,
& 6.998e-01, 7.047e-01, 7.096e-01, 7.145e-01, 7.195e-01,
& 7.244e-01, 7.295e-01, 7.345e-01, 7.396e-01, 7.447e-01/
data wltab(201:250)/
& 7.499e-01, 7.551e-01, 7.603e-01, 7.656e-01, 7.691e-01,
& 7.745e-01, 7.798e-01, 7.852e-01, 7.907e-01, 7.943e-01,
& 7.998e-01, 8.054e-01, 8.091e-01, 8.147e-01, 8.204e-01,
& 8.241e-01, 8.298e-01, 8.356e-01, 8.395e-01, 8.453e-01,
& 8.492e-01, 8.551e-01, 8.590e-01, 8.650e-01, 8.710e-01,
& 8.750e-01, 8.790e-01, 8.851e-01, 8.892e-01, 8.954e-01,
& 8.995e-01, 9.057e-01, 9.099e-01, 9.141e-01, 9.204e-01,
& 9.247e-01, 9.290e-01, 9.354e-01, 9.397e-01, 9.441e-01,
& 9.506e-01, 9.550e-01, 9.594e-01, 9.660e-01, 9.705e-01,
& 9.750e-01, 9.795e-01, 9.840e-01, 9.908e-01, 9.954e-01/
data wltab(251:300)/
& 1.000e+00, 1.009e+00, 1.021e+00, 1.030e+00, 1.040e+00,
& 1.050e+00, 1.059e+00, 1.069e+00, 1.079e+00, 1.089e+00,
& 1.099e+00, 1.109e+00, 1.119e+00, 1.130e+00, 1.140e+00,
& 1.151e+00, 1.159e+00, 1.169e+00, 1.180e+00, 1.191e+00,
& 1.200e+00, 1.211e+00, 1.219e+00, 1.230e+00, 1.239e+00,
& 1.250e+00, 1.259e+00, 1.271e+00, 1.279e+00, 1.291e+00,
& 1.300e+00, 1.309e+00, 1.321e+00, 1.331e+00, 1.340e+00,
& 1.349e+00, 1.361e+00, 1.371e+00, 1.380e+00, 1.390e+00,
& 1.400e+00, 1.409e+00, 1.419e+00, 1.429e+00, 1.439e+00,
& 1.449e+00, 1.459e+00, 1.469e+00, 1.479e+00, 1.489e+00/
data wltab(301:350)/
& 1.500e+00, 1.510e+00, 1.520e+00, 1.531e+00, 1.542e+00,
& 1.549e+00, 1.560e+00, 1.570e+00, 1.581e+00, 1.589e+00,
& 1.600e+00, 1.611e+00, 1.622e+00, 1.629e+00, 1.641e+00,
& 1.648e+00, 1.660e+00, 1.671e+00, 1.679e+00, 1.690e+00,
& 1.698e+00, 1.710e+00, 1.722e+00, 1.730e+00, 1.742e+00,
& 1.750e+00, 1.762e+00, 1.770e+00, 1.778e+00, 1.791e+00,
& 1.799e+00, 1.811e+00, 1.820e+00, 1.828e+00, 1.841e+00,
& 1.849e+00, 1.862e+00, 1.871e+00, 1.879e+00, 1.888e+00,
& 1.901e+00, 1.910e+00, 1.919e+00, 1.932e+00, 1.941e+00,
& 1.950e+00, 1.959e+00, 1.968e+00, 1.982e+00, 1.991e+00/
data wltab(351:400)/
& 2.000e+00, 2.009e+00, 2.018e+00, 2.028e+00, 2.042e+00,
& 2.051e+00, 2.061e+00, 2.070e+00, 2.080e+00, 2.089e+00,
& 2.099e+00, 2.109e+00, 2.118e+00, 2.128e+00, 2.138e+00,
& 2.148e+00, 2.158e+00, 2.168e+00, 2.178e+00, 2.188e+00,
& 2.198e+00, 2.208e+00, 2.218e+00, 2.228e+00, 2.239e+00,
& 2.249e+00, 2.259e+00, 2.270e+00, 2.280e+00, 2.291e+00,
& 2.301e+00, 2.312e+00, 2.317e+00, 2.328e+00, 2.339e+00,
& 2.350e+00, 2.361e+00, 2.371e+00, 2.382e+00, 2.388e+00,
& 2.399e+00, 2.410e+00, 2.421e+00, 2.432e+00, 2.438e+00,
& 2.449e+00, 2.460e+00, 2.472e+00, 2.477e+00, 2.489e+00/
data wltab(401:450)/
& 2.500e+00, 2.512e+00, 2.518e+00, 2.529e+00, 2.541e+00,
& 2.553e+00, 2.564e+00, 2.570e+00, 2.576e+00, 2.582e+00,
& 2.588e+00, 2.594e+00, 2.606e+00, 2.612e+00, 2.618e+00,
& 2.624e+00, 2.630e+00, 2.636e+00, 2.648e+00, 2.655e+00,
& 2.661e+00, 2.667e+00, 2.673e+00, 2.679e+00, 2.685e+00,
& 2.698e+00, 2.704e+00, 2.710e+00, 2.716e+00, 2.723e+00,
& 2.729e+00, 2.742e+00, 2.748e+00, 2.754e+00, 2.761e+00,
& 2.767e+00, 2.780e+00, 2.786e+00, 2.792e+00, 2.799e+00,
& 2.812e+00, 2.818e+00, 2.825e+00, 2.831e+00, 2.838e+00,
& 2.851e+00, 2.858e+00, 2.864e+00, 2.871e+00, 2.884e+00/
data wltab(451:500)/
& 2.891e+00, 2.897e+00, 2.904e+00, 2.917e+00, 2.924e+00,
& 2.931e+00, 2.938e+00, 2.951e+00, 2.958e+00, 2.965e+00,
& 2.978e+00, 2.985e+00, 2.999e+00, 3.048e+00, 3.097e+00,
& 3.148e+00, 3.199e+00, 3.251e+00, 3.304e+00, 3.350e+00,
& 3.396e+00, 3.451e+00, 3.499e+00, 3.548e+00, 3.598e+00,
& 3.647e+00, 3.698e+00, 3.750e+00, 3.802e+00, 3.846e+00,
& 3.899e+00, 3.954e+00, 3.999e+00, 4.046e+00, 4.102e+00,
& 4.149e+00, 4.198e+00, 4.246e+00, 4.295e+00, 4.345e+00,
& 4.395e+00, 4.446e+00, 4.498e+00, 4.550e+00, 4.603e+00,
& 4.645e+00, 4.699e+00, 4.753e+00, 4.797e+00, 4.853e+00/
data wltab(501:550)/
& 4.898e+00, 4.955e+00, 5.000e+00, 5.047e+00, 5.105e+00,
& 5.152e+00, 5.200e+00, 5.248e+00, 5.297e+00, 5.346e+00,
& 5.395e+00, 5.445e+00, 5.495e+00, 5.546e+00, 5.598e+00,
& 5.649e+00, 5.702e+00, 5.754e+00, 5.794e+00, 5.848e+00,
& 5.902e+00, 5.957e+00, 5.998e+00, 6.053e+00, 6.095e+00,
& 6.152e+00, 6.194e+00, 6.252e+00, 6.295e+00, 6.353e+00,
& 6.397e+00, 6.457e+00, 6.501e+00, 6.546e+00, 6.607e+00,
& 6.653e+00, 6.699e+00, 6.745e+00, 6.808e+00, 6.855e+00,
& 6.902e+00, 6.950e+00, 6.998e+00, 7.047e+00, 7.096e+00,
& 7.145e+00, 7.194e+00, 7.244e+00, 7.295e+00, 7.345e+00/
data wltab(551:600)/
& 7.396e+00, 7.447e+00, 7.499e+00, 7.551e+00, 7.603e+00,
& 7.656e+00, 7.691e+00, 7.745e+00, 7.798e+00, 7.852e+00,
& 7.907e+00, 7.943e+00, 7.998e+00, 8.054e+00, 8.091e+00,
& 8.147e+00, 8.204e+00, 8.241e+00, 8.299e+00, 8.356e+00,
& 8.395e+00, 8.453e+00, 8.492e+00, 8.551e+00, 8.590e+00,
& 8.650e+00, 8.710e+00, 8.750e+00, 8.790e+00, 8.851e+00,
& 8.892e+00, 8.954e+00, 8.995e+00, 9.057e+00, 9.099e+00,
& 9.141e+00, 9.204e+00, 9.247e+00, 9.290e+00, 9.354e+00,
& 9.397e+00, 9.441e+00, 9.506e+00, 9.550e+00, 9.594e+00,
& 9.661e+00, 9.705e+00, 9.750e+00, 9.795e+00, 9.840e+00/
data wltab(601:650)/
& 9.908e+00, 9.954e+00, 1.000e+01, 1.005e+01, 1.009e+01,
& 1.014e+01, 1.021e+01, 1.026e+01, 1.030e+01, 1.035e+01,
& 1.040e+01, 1.045e+01, 1.049e+01, 1.054e+01, 1.059e+01,
& 1.064e+01, 1.069e+01, 1.074e+01, 1.079e+01, 1.084e+01,
& 1.089e+01, 1.094e+01, 1.099e+01, 1.104e+01, 1.109e+01,
& 1.114e+01, 1.119e+01, 1.125e+01, 1.130e+01, 1.135e+01,
& 1.140e+01, 1.146e+01, 1.151e+01, 1.156e+01, 1.159e+01,
& 1.164e+01, 1.170e+01, 1.175e+01, 1.180e+01, 1.186e+01,
& 1.191e+01, 1.194e+01, 1.199e+01, 1.205e+01, 1.211e+01,
& 1.216e+01, 1.219e+01, 1.225e+01, 1.230e+01, 1.236e+01/
data wltab(651:700)/
& 1.239e+01, 1.245e+01, 1.250e+01, 1.256e+01, 1.259e+01,
& 1.265e+01, 1.271e+01, 1.276e+01, 1.279e+01, 1.285e+01,
& 1.291e+01, 1.294e+01, 1.300e+01, 1.306e+01, 1.309e+01,
& 1.315e+01, 1.321e+01, 1.324e+01, 1.330e+01, 1.334e+01,
& 1.340e+01, 1.346e+01, 1.349e+01, 1.355e+01, 1.361e+01,
& 1.365e+01, 1.371e+01, 1.374e+01, 1.380e+01, 1.384e+01,
& 1.390e+01, 1.396e+01, 1.400e+01, 1.406e+01, 1.409e+01,
& 1.416e+01, 1.419e+01, 1.426e+01, 1.429e+01, 1.436e+01,
& 1.439e+01, 1.445e+01, 1.449e+01, 1.455e+01, 1.459e+01,
& 1.465e+01, 1.469e+01, 1.476e+01, 1.479e+01, 1.486e+01/
data wltab(701:750)/
& 1.489e+01, 1.496e+01, 1.500e+01, 1.507e+01, 1.510e+01,
& 1.514e+01, 1.521e+01, 1.524e+01, 1.531e+01, 1.535e+01,
& 1.542e+01, 1.545e+01, 1.549e+01, 1.556e+01, 1.560e+01,
& 1.567e+01, 1.570e+01, 1.574e+01, 1.581e+01, 1.585e+01,
& 1.588e+01, 1.596e+01, 1.600e+01, 1.603e+01, 1.611e+01,
& 1.614e+01, 1.622e+01, 1.625e+01, 1.629e+01, 1.637e+01,
& 1.641e+01, 1.644e+01, 1.648e+01, 1.656e+01, 1.660e+01,
& 1.663e+01, 1.671e+01, 1.675e+01, 1.679e+01, 1.687e+01,
& 1.690e+01, 1.694e+01, 1.698e+01, 1.706e+01, 1.710e+01,
& 1.714e+01, 1.722e+01, 1.726e+01, 1.730e+01, 1.734e+01/
data wltab(751:800)/
& 1.742e+01, 1.746e+01, 1.750e+01, 1.754e+01, 1.762e+01,
& 1.766e+01, 1.770e+01, 1.774e+01, 1.778e+01, 1.786e+01,
& 1.791e+01, 1.795e+01, 1.799e+01, 1.803e+01, 1.811e+01,
& 1.816e+01, 1.820e+01, 1.824e+01, 1.828e+01, 1.836e+01,
& 1.841e+01, 1.845e+01, 1.849e+01, 1.854e+01, 1.862e+01,
& 1.866e+01, 1.871e+01, 1.875e+01, 1.879e+01, 1.884e+01,
& 1.888e+01, 1.897e+01, 1.901e+01, 1.905e+01, 1.910e+01,
& 1.914e+01, 1.919e+01, 1.923e+01, 1.932e+01, 1.936e+01,
& 1.941e+01, 1.945e+01, 1.950e+01, 1.954e+01, 1.959e+01,
& 1.963e+01, 1.968e+01, 1.977e+01, 1.982e+01, 1.986e+01/
data wltab(801:860)/
& 1.991e+01, 1.995e+01, 2.000e+01, 2.099e+01, 2.198e+01,
& 2.301e+01, 2.399e+01, 2.500e+01, 2.600e+01, 2.698e+01,
& 2.799e+01, 2.897e+01, 2.999e+01, 3.097e+01, 3.199e+01,
& 3.304e+01, 3.396e+01, 3.499e+01, 3.598e+01, 3.698e+01,
& 3.802e+01, 3.899e+01, 3.999e+01, 4.102e+01, 4.198e+01,
& 4.295e+01, 4.395e+01, 4.498e+01, 4.603e+01, 4.699e+01,
& 4.797e+01, 4.898e+01, 5.000e+01, 5.200e+01, 5.395e+01,
& 5.598e+01, 5.794e+01, 5.998e+01, 6.194e+01, 6.397e+01,
& 6.607e+01, 6.808e+01, 6.998e+01, 7.194e+01, 7.396e+01,
& 7.603e+01, 7.798e+01, 7.998e+01, 8.203e+01, 8.395e+01,
& 8.590e+01, 8.790e+01, 8.995e+01, 9.205e+01, 9.397e+01,
& 9.594e+01, 9.795e+01, 1.000e+02, 1.099e+02, 1.200e+02/
data mrtab(1:50)/
& 9.684e-01, 9.648e-01, 9.610e-01, 9.570e-01, 9.528e-01,
& 9.441e-01, 9.347e-01, 9.246e-01, 9.140e-01, 9.027e-01,
& 8.908e-01, 8.788e-01, 8.665e-01, 8.541e-01, 8.422e-01,
& 8.307e-01, 8.198e-01, 8.100e-01, 8.023e-01, 7.977e-01,
& 7.970e-01, 8.056e-01, 8.207e-01, 8.310e-01, 8.352e-01,
& 8.353e-01, 8.316e-01, 8.309e-01, 8.406e-01, 8.670e-01,
& 9.035e-01, 9.418e-01, 9.817e-01, 1.021e+00, 1.050e+00,
& 1.069e+00, 1.088e+00, 1.112e+00, 1.141e+00, 1.173e+00,
& 1.215e+00, 1.259e+00, 1.303e+00, 1.347e+00, 1.388e+00,
& 1.425e+00, 1.456e+00, 1.477e+00, 1.493e+00, 1.507e+00/
data mrtab(51:100)/
& 1.516e+00, 1.524e+00, 1.529e+00, 1.535e+00, 1.543e+00,
& 1.548e+00, 1.553e+00, 1.561e+00, 1.570e+00, 1.585e+00,
& 1.606e+00, 1.627e+00, 1.634e+00, 1.619e+00, 1.586e+00,
& 1.536e+00, 1.496e+00, 1.471e+00, 1.461e+00, 1.461e+00,
& 1.469e+00, 1.490e+00, 1.521e+00, 1.560e+00, 1.597e+00,
& 1.620e+00, 1.641e+00, 1.650e+00, 1.653e+00, 1.653e+00,
& 1.647e+00, 1.635e+00, 1.606e+00, 1.568e+00, 1.549e+00,
& 1.543e+00, 1.513e+00, 1.492e+00, 1.475e+00, 1.463e+00,
& 1.452e+00, 1.442e+00, 1.435e+00, 1.428e+00, 1.422e+00,
& 1.416e+00, 1.411e+00, 1.406e+00, 1.402e+00, 1.399e+00/
data mrtab(101:150)/
& 1.395e+00, 1.392e+00, 1.389e+00, 1.386e+00, 1.384e+00,
& 1.381e+00, 1.379e+00, 1.377e+00, 1.375e+00, 1.373e+00,
& 1.371e+00, 1.370e+00, 1.368e+00, 1.367e+00, 1.365e+00,
& 1.364e+00, 1.363e+00, 1.362e+00, 1.360e+00, 1.359e+00,
& 1.358e+00, 1.357e+00, 1.356e+00, 1.355e+00, 1.354e+00,
& 1.354e+00, 1.353e+00, 1.352e+00, 1.351e+00, 1.350e+00,
& 1.350e+00, 1.349e+00, 1.348e+00, 1.348e+00, 1.347e+00,
& 1.347e+00, 1.346e+00, 1.346e+00, 1.345e+00, 1.344e+00,
& 1.344e+00, 1.343e+00, 1.343e+00, 1.342e+00, 1.342e+00,
& 1.341e+00, 1.341e+00, 1.341e+00, 1.340e+00, 1.340e+00/
data mrtab(151:200)/
& 1.339e+00, 1.339e+00, 1.339e+00, 1.338e+00, 1.338e+00,
& 1.338e+00, 1.337e+00, 1.337e+00, 1.337e+00, 1.336e+00,
& 1.336e+00, 1.336e+00, 1.335e+00, 1.335e+00, 1.335e+00,
& 1.334e+00, 1.334e+00, 1.334e+00, 1.334e+00, 1.333e+00,
& 1.333e+00, 1.333e+00, 1.333e+00, 1.332e+00, 1.332e+00,
& 1.332e+00, 1.332e+00, 1.331e+00, 1.331e+00, 1.331e+00,
& 1.331e+00, 1.330e+00, 1.330e+00, 1.330e+00, 1.330e+00,
& 1.330e+00, 1.329e+00, 1.329e+00, 1.329e+00, 1.329e+00,
& 1.329e+00, 1.329e+00, 1.328e+00, 1.328e+00, 1.328e+00,
& 1.328e+00, 1.328e+00, 1.328e+00, 1.328e+00, 1.327e+00/
data mrtab(201:250)/
& 1.327e+00, 1.327e+00, 1.327e+00, 1.327e+00, 1.327e+00,
& 1.327e+00, 1.326e+00, 1.326e+00, 1.326e+00, 1.326e+00,
& 1.326e+00, 1.326e+00, 1.326e+00, 1.326e+00, 1.325e+00,
& 1.325e+00, 1.325e+00, 1.325e+00, 1.325e+00, 1.325e+00,
& 1.325e+00, 1.325e+00, 1.325e+00, 1.324e+00, 1.324e+00,
& 1.324e+00, 1.324e+00, 1.324e+00, 1.324e+00, 1.324e+00,
& 1.324e+00, 1.324e+00, 1.323e+00, 1.323e+00, 1.323e+00,
& 1.323e+00, 1.323e+00, 1.323e+00, 1.323e+00, 1.323e+00,
& 1.323e+00, 1.323e+00, 1.322e+00, 1.322e+00, 1.322e+00,
& 1.322e+00, 1.322e+00, 1.322e+00, 1.322e+00, 1.322e+00/
data mrtab(251:300)/
& 1.322e+00, 1.322e+00, 1.321e+00, 1.321e+00, 1.321e+00,
& 1.321e+00, 1.321e+00, 1.320e+00, 1.320e+00, 1.320e+00,
& 1.320e+00, 1.320e+00, 1.319e+00, 1.319e+00, 1.319e+00,
& 1.319e+00, 1.319e+00, 1.319e+00, 1.318e+00, 1.318e+00,
& 1.318e+00, 1.318e+00, 1.318e+00, 1.317e+00, 1.317e+00,
& 1.317e+00, 1.317e+00, 1.317e+00, 1.316e+00, 1.316e+00,
& 1.316e+00, 1.316e+00, 1.316e+00, 1.315e+00, 1.315e+00,
& 1.315e+00, 1.315e+00, 1.315e+00, 1.314e+00, 1.314e+00,
& 1.314e+00, 1.314e+00, 1.314e+00, 1.313e+00, 1.313e+00,
& 1.313e+00, 1.313e+00, 1.313e+00, 1.313e+00, 1.312e+00/
data mrtab(301:350)/
& 1.312e+00, 1.312e+00, 1.312e+00, 1.311e+00, 1.311e+00,
& 1.311e+00, 1.311e+00, 1.310e+00, 1.310e+00, 1.310e+00,
& 1.310e+00, 1.309e+00, 1.309e+00, 1.309e+00, 1.309e+00,
& 1.308e+00, 1.308e+00, 1.308e+00, 1.307e+00, 1.307e+00,
& 1.307e+00, 1.306e+00, 1.306e+00, 1.306e+00, 1.305e+00,
& 1.305e+00, 1.305e+00, 1.304e+00, 1.304e+00, 1.304e+00,
& 1.303e+00, 1.303e+00, 1.303e+00, 1.302e+00, 1.302e+00,
& 1.301e+00, 1.301e+00, 1.300e+00, 1.300e+00, 1.300e+00,
& 1.299e+00, 1.299e+00, 1.299e+00, 1.299e+00, 1.299e+00,
& 1.298e+00, 1.298e+00, 1.298e+00, 1.298e+00, 1.297e+00/
data mrtab(351:400)/
& 1.297e+00, 1.296e+00, 1.296e+00, 1.296e+00, 1.295e+00,
& 1.294e+00, 1.294e+00, 1.293e+00, 1.293e+00, 1.292e+00,
& 1.292e+00, 1.291e+00, 1.291e+00, 1.290e+00, 1.290e+00,
& 1.289e+00, 1.288e+00, 1.288e+00, 1.287e+00, 1.286e+00,
& 1.286e+00, 1.285e+00, 1.284e+00, 1.284e+00, 1.283e+00,
& 1.282e+00, 1.281e+00, 1.280e+00, 1.280e+00, 1.279e+00,
& 1.278e+00, 1.277e+00, 1.276e+00, 1.275e+00, 1.274e+00,
& 1.273e+00, 1.272e+00, 1.271e+00, 1.270e+00, 1.269e+00,
& 1.268e+00, 1.266e+00, 1.265e+00, 1.264e+00, 1.263e+00,
& 1.261e+00, 1.260e+00, 1.258e+00, 1.257e+00, 1.255e+00/
data mrtab(401:450)/
& 1.253e+00, 1.251e+00, 1.250e+00, 1.248e+00, 1.246e+00,
& 1.243e+00, 1.240e+00, 1.239e+00, 1.237e+00, 1.235e+00,
& 1.234e+00, 1.232e+00, 1.228e+00, 1.225e+00, 1.223e+00,
& 1.221e+00, 1.218e+00, 1.216e+00, 1.210e+00, 1.207e+00,
& 1.203e+00, 1.199e+00, 1.195e+00, 1.191e+00, 1.188e+00,
& 1.180e+00, 1.175e+00, 1.169e+00, 1.161e+00, 1.153e+00,
& 1.150e+00, 1.142e+00, 1.136e+00, 1.133e+00, 1.132e+00,
& 1.133e+00, 1.131e+00, 1.128e+00, 1.128e+00, 1.129e+00,
& 1.128e+00, 1.126e+00, 1.125e+00, 1.128e+00, 1.133e+00,
& 1.142e+00, 1.146e+00, 1.152e+00, 1.162e+00, 1.178e+00/
data mrtab(451:500)/
& 1.185e+00, 1.196e+00, 1.208e+00, 1.230e+00, 1.240e+00,
& 1.252e+00, 1.264e+00, 1.286e+00, 1.298e+00, 1.308e+00,
& 1.326e+00, 1.335e+00, 1.353e+00, 1.412e+00, 1.452e+00,
& 1.467e+00, 1.462e+00, 1.449e+00, 1.433e+00, 1.417e+00,
& 1.405e+00, 1.393e+00, 1.384e+00, 1.376e+00, 1.369e+00,
& 1.363e+00, 1.357e+00, 1.352e+00, 1.347e+00, 1.344e+00,
& 1.340e+00, 1.337e+00, 1.334e+00, 1.331e+00, 1.329e+00,
& 1.326e+00, 1.324e+00, 1.322e+00, 1.320e+00, 1.318e+00,
& 1.316e+00, 1.315e+00, 1.314e+00, 1.312e+00, 1.312e+00,
& 1.312e+00, 1.311e+00, 1.311e+00, 1.311e+00, 1.310e+00/
data mrtab(501:550)/
& 1.309e+00, 1.307e+00, 1.306e+00, 1.304e+00, 1.302e+00,
& 1.300e+00, 1.298e+00, 1.295e+00, 1.292e+00, 1.289e+00,
& 1.286e+00, 1.282e+00, 1.278e+00, 1.274e+00, 1.269e+00,
& 1.263e+00, 1.257e+00, 1.248e+00, 1.242e+00, 1.235e+00,
& 1.229e+00, 1.232e+00, 1.243e+00, 1.268e+00, 1.295e+00,
& 1.330e+00, 1.342e+00, 1.340e+00, 1.336e+00, 1.329e+00,
& 1.325e+00, 1.320e+00, 1.318e+00, 1.315e+00, 1.311e+00,
& 1.309e+00, 1.307e+00, 1.305e+00, 1.302e+00, 1.300e+00,
& 1.298e+00, 1.297e+00, 1.295e+00, 1.294e+00, 1.292e+00,
& 1.291e+00, 1.289e+00, 1.288e+00, 1.287e+00, 1.285e+00/
data mrtab(551:600)/
& 1.284e+00, 1.283e+00, 1.281e+00, 1.280e+00, 1.279e+00,
& 1.277e+00, 1.276e+00, 1.275e+00, 1.273e+00, 1.272e+00,
& 1.271e+00, 1.270e+00, 1.268e+00, 1.267e+00, 1.266e+00,
& 1.264e+00, 1.263e+00, 1.261e+00, 1.260e+00, 1.258e+00,
& 1.257e+00, 1.255e+00, 1.254e+00, 1.252e+00, 1.251e+00,
& 1.249e+00, 1.247e+00, 1.246e+00, 1.245e+00, 1.243e+00,
& 1.241e+00, 1.239e+00, 1.238e+00, 1.236e+00, 1.234e+00,
& 1.233e+00, 1.230e+00, 1.229e+00, 1.227e+00, 1.224e+00,
& 1.223e+00, 1.221e+00, 1.218e+00, 1.216e+00, 1.214e+00,
& 1.211e+00, 1.209e+00, 1.207e+00, 1.204e+00, 1.202e+00/
data mrtab(601:650)/
& 1.199e+00, 1.196e+00, 1.193e+00, 1.190e+00, 1.187e+00,
& 1.184e+00, 1.181e+00, 1.178e+00, 1.174e+00, 1.171e+00,
& 1.167e+00, 1.164e+00, 1.161e+00, 1.157e+00, 1.154e+00,
& 1.150e+00, 1.147e+00, 1.144e+00, 1.140e+00, 1.137e+00,
& 1.134e+00, 1.131e+00, 1.129e+00, 1.125e+00, 1.122e+00,
& 1.119e+00, 1.116e+00, 1.113e+00, 1.110e+00, 1.108e+00,
& 1.105e+00, 1.103e+00, 1.101e+00, 1.098e+00, 1.097e+00,
& 1.096e+00, 1.094e+00, 1.092e+00, 1.091e+00, 1.089e+00,
& 1.086e+00, 1.086e+00, 1.087e+00, 1.088e+00, 1.088e+00,
& 1.087e+00, 1.087e+00, 1.090e+00, 1.091e+00, 1.091e+00/
data mrtab(651:700)/
& 1.092e+00, 1.096e+00, 1.098e+00, 1.100e+00, 1.101e+00,
& 1.105e+00, 1.107e+00, 1.109e+00, 1.110e+00, 1.114e+00,
& 1.117e+00, 1.118e+00, 1.122e+00, 1.125e+00, 1.126e+00,
& 1.131e+00, 1.134e+00, 1.136e+00, 1.140e+00, 1.141e+00,
& 1.146e+00, 1.150e+00, 1.152e+00, 1.156e+00, 1.160e+00,
& 1.162e+00, 1.166e+00, 1.168e+00, 1.172e+00, 1.174e+00,
& 1.179e+00, 1.182e+00, 1.185e+00, 1.189e+00, 1.191e+00,
& 1.196e+00, 1.198e+00, 1.202e+00, 1.204e+00, 1.207e+00,
& 1.209e+00, 1.214e+00, 1.215e+00, 1.219e+00, 1.221e+00,
& 1.226e+00, 1.228e+00, 1.232e+00, 1.234e+00, 1.238e+00/
data mrtab(701:750)/
& 1.239e+00, 1.243e+00, 1.245e+00, 1.249e+00, 1.252e+00,
& 1.254e+00, 1.257e+00, 1.259e+00, 1.263e+00, 1.265e+00,
& 1.268e+00, 1.270e+00, 1.273e+00, 1.276e+00, 1.278e+00,
& 1.283e+00, 1.285e+00, 1.287e+00, 1.291e+00, 1.293e+00,
& 1.295e+00, 1.299e+00, 1.301e+00, 1.303e+00, 1.307e+00,
& 1.309e+00, 1.313e+00, 1.315e+00, 1.317e+00, 1.321e+00,
& 1.323e+00, 1.325e+00, 1.327e+00, 1.331e+00, 1.333e+00,
& 1.335e+00, 1.339e+00, 1.341e+00, 1.343e+00, 1.347e+00,
& 1.350e+00, 1.351e+00, 1.353e+00, 1.357e+00, 1.359e+00,
& 1.361e+00, 1.365e+00, 1.367e+00, 1.369e+00, 1.371e+00/
data mrtab(751:800)/
& 1.375e+00, 1.377e+00, 1.379e+00, 1.380e+00, 1.384e+00,
& 1.386e+00, 1.388e+00, 1.389e+00, 1.391e+00, 1.394e+00,
& 1.396e+00, 1.398e+00, 1.400e+00, 1.401e+00, 1.405e+00,
& 1.407e+00, 1.409e+00, 1.410e+00, 1.412e+00, 1.415e+00,
& 1.418e+00, 1.420e+00, 1.422e+00, 1.423e+00, 1.426e+00,
& 1.428e+00, 1.430e+00, 1.431e+00, 1.433e+00, 1.435e+00,
& 1.436e+00, 1.440e+00, 1.442e+00, 1.443e+00, 1.444e+00,
& 1.445e+00, 1.447e+00, 1.448e+00, 1.450e+00, 1.452e+00,
& 1.454e+00, 1.456e+00, 1.457e+00, 1.458e+00, 1.459e+00,
& 1.460e+00, 1.460e+00, 1.463e+00, 1.465e+00, 1.467e+00/
data mrtab(801:860)/
& 1.467e+00, 1.467e+00, 1.468e+00, 1.484e+00, 1.499e+00,
& 1.516e+00, 1.529e+00, 1.538e+00, 1.544e+00, 1.547e+00,
& 1.546e+00, 1.543e+00, 1.536e+00, 1.527e+00, 1.519e+00,
& 1.512e+00, 1.506e+00, 1.499e+00, 1.493e+00, 1.487e+00,
& 1.481e+00, 1.478e+00, 1.477e+00, 1.476e+00, 1.477e+00,
& 1.481e+00, 1.485e+00, 1.492e+00, 1.499e+00, 1.509e+00,
& 1.520e+00, 1.531e+00, 1.542e+00, 1.567e+00, 1.594e+00,
& 1.619e+00, 1.644e+00, 1.669e+00, 1.690e+00, 1.710e+00,
& 1.729e+00, 1.747e+00, 1.763e+00, 1.777e+00, 1.791e+00,
& 1.806e+00, 1.819e+00, 1.831e+00, 1.842e+00, 1.852e+00,