********************************************************************* * * * Atmospheric Absorption for Rayleigh, Mie and Ozone. * * * * Created: May-98 * * Author: Aitor Ibarra Ibaibarriaga * * Jose Carlos Gonzalez * * * ********************************************************************* c @T \newpage c @section Source code of {\tt attenu.f} * @text * Copyright $\copyright$ 1998, Aitor Ibarra Ibaibarriaga * @endtext c @code SUBROUTINE attenu(wavelength, height, theta, tr_atmos) C----------------------------------------------------------------------C C RHO (DENSITY) F(UNCTION) C C C C CALCULATES DENSITY (G/CM**3) OF ATMOSPHERE DEPENDING ON HEIGHT (CM) C C (US STANDARD ATMOSPHERE) C C THIS FUNCTION IS CALLED FROM ININKG, UPDATE, CERENE, CERENH C C ARGUMENT: C C ARG = HEIGHT IN CM C C----------------------------------------------------------------------C COMMON /ATMOS/ AATM,BATM,CATM,LAHG,RHOF,LONG,OZ_ABI,AE_ABI DOUBLE PRECISION AATM(5),BATM(5),CATM(5),LAHG(5),RHOF(5),Lm(12) DOUBLE PRECISION H,RT, m,OZ_ABI(48,12),AE_ABI(28,12) DOUBLE PRECISION XR, TOT_OZ, TOT_AE, T_Ray,T_Mie, T_Oz, + RHO_TOT, RHO_FI, RHOFP REAL wavelength, height, theta, tr_atmos real trr, trm, tro REAL LONG(12) INTEGER I,CON_OZ,CON_MI J, ROW DATA OZ_ABI / + 0.2880000D+00,0.5405000D+00,0.7775000D+00,0.1009000D+01, + 0.1241500D+01,0.1480500D+01,0.1750500D+01,0.2085000D+01, + 0.2514500D+01,0.3087500D+01,0.3864500D+01,0.4817500D+01, + 0.5847500D+01,0.6917500D+01,0.8052500D+01,0.9287499D+01, + 0.1068750D+02,0.1231250D+02,0.1415750D+02,0.1617750D+02, + 0.1827250D+02,0.2034750D+02,0.2232750D+02,0.2414750D+02, + 0.2575750D+02,0.2715250D+02,0.2836750D+02,0.2941100D+02, + 0.3031000D+02,0.3109250D+02,0.3176300D+02,0.3232750D+02, + 0.3281200D+02,0.3323200D+02,0.3358350D+02,0.3387750D+02, + 0.3412650D+02,0.3434000D+02,0.3451900D+02,0.3466250D+02, + 0.3477480D+02,0.3486355D+02,0.3493355D+02,0.3498775D+02, + 0.3503010D+02,0.3506360D+02,0.3509020D+02,0.3511185D+02, + 0.2740000D-01,0.5140000D-01,0.7395000D-01,0.9600000D-01, + 0.1181500D+00,0.1409000D+00,0.1666000D+00,0.1984500D+00, + 0.2393500D+00,0.2939500D+00,0.3679500D+00,0.4589500D+00, + 0.5573000D+00,0.6593000D+00,0.7673000D+00,0.8848000D+00, + 0.1017800D+01,0.1172300D+01,0.1348300D+01,0.1540800D+01, + 0.1740300D+01,0.1937800D+01,0.2126300D+01,0.2299800D+01, + 0.2453300D+01,0.2586300D+01,0.2702300D+01,0.2801900D+01, + 0.2887550D+01,0.2962050D+01,0.3025900D+01,0.3079700D+01, + 0.3125850D+01,0.3165850D+01,0.3199350D+01,0.3227400D+01, + 0.3251150D+01,0.3271500D+01,0.3288600D+01,0.3302300D+01, + 0.3312995D+01,0.3321445D+01,0.3328110D+01,0.3333270D+01, + 0.3337305D+01,0.3340500D+01,0.3343035D+01,0.1334510D+01, + 0.2435000D-02,0.4570000D-02,0.6575000D-02,0.8535000D-02, + 0.1050500D-01,0.1253000D-01,0.1481500D-01,0.1764500D-01, + 0.2128000D-01,0.2613500D-01,0.3272000D-01,0.4081000D-01, + 0.4957000D-01,0.5866000D-01,0.6827000D-01,0.7875500D-01, + 0.9065500D-01,0.1044050D+00,0.1200050D+00,0.1371050D+00, + 0.1548550D+00,0.1724050D+00,0.1891550D+00,0.2045550D+00, + 0.2182050D+00,0.2300550D+00,0.2403600D+00,0.2492200D+00, + 0.2568350D+00,0.2634550D+00,0.2691300D+00,0.2739150D+00, + 0.2780200D+00,0.2815750D+00,0.2845500D+00,0.2870400D+00, + 0.2891500D+00,0.2909600D+00,0.2924750D+00,0.2936900D+00, + 0.2946425D+00,0.2953940D+00,0.2959865D+00,0.2964455D+00, + 0.2968045D+00,0.2970885D+00,0.2973140D+00,0.2974975D+00, + 0.1740000D-03,0.3265000D-03,0.4695000D-03,0.6090000D-03, + 0.7495000D-03,0.8940000D-03,0.1057000D-02,0.1259000D-02, + 0.1518000D-02,0.1863500D-02,0.2332500D-02,0.2909000D-02, + 0.3533000D-02,0.4180500D-02,0.4865000D-02,0.5610500D-02, + 0.6455500D-02,0.7435000D-02,0.8550000D-02,0.9770000D-02, + 0.1103500D-01,0.1229000D-01,0.1348500D-01,0.1458000D-01, + 0.1555100D-01,0.1639550D-01,0.1713150D-01,0.1776300D-01, + 0.1830600D-01,0.1877800D-01,0.1918200D-01,0.1952250D-01, + 0.1981500D-01,0.2006850D-01,0.2028050D-01,0.2045801D-01, + 0.2060851D-01,0.2073750D-01,0.2084566D-01,0.2093241D-01, + 0.2100026D-01,0.2105381D-01,0.2109606D-01,0.2112876D-01, + 0.2115431D-01,0.2117456D-01,0.2119066D-01,0.2120376D-01, + 0.4885000D-05,0.9170000D-05,0.1319500D-04,0.1713000D-04, + 0.2108000D-04,0.2513500D-04,0.2971500D-04,0.3539500D-04, + 0.4268500D-04,0.5242500D-04,0.6562500D-04,0.8182500D-04, + 0.9937500D-04,0.1175750D-03,0.1368250D-03,0.1578250D-03, + 0.1816250D-03,0.2091750D-03,0.2404750D-03,0.2747750D-03, + 0.3103250D-03,0.3454750D-03,0.3790250D-03,0.4098750D-03, + 0.4372250D-03,0.4609750D-03,0.4816750D-03,0.4994750D-03, + 0.5147750D-03,0.5280750D-03,0.5394750D-03,0.5490700D-03, + 0.5572950D-03,0.5644250D-03,0.5703950D-03,0.5753899D-03, + 0.5796200D-03,0.5832500D-03,0.5862950D-03,0.5887350D-03, + 0.5906400D-03,0.5921450D-03,0.5933350D-03,0.5942565D-03, + 0.5949755D-03,0.5955440D-03,0.5959955D-03,0.5963635D-03, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.0000000D+00,0.0000000D+00,0.0000000D+00,0.0000000D+00, + 0.9525000D-05,0.1785500D-04,0.2567500D-04,0.3332000D-04, + 0.4100000D-04,0.4889000D-04,0.5779500D-04,0.6881000D-04, + 0.8296000D-04,0.1018600D-03,0.1275100D-03,0.1590600D-03, + 0.1932100D-03,0.2286100D-03,0.2660100D-03,0.3067600D-03, + 0.3529600D-03,0.4065100D-03,0.4674100D-03,0.5341100D-03, + 0.6032600D-03,0.6717100D-03,0.7370100D-03,0.7970100D-03, + 0.8501600D-03,0.8963600D-03,0.9366100D-03,0.9711101D-03, + 0.1000810D-02,0.1026660D-02,0.1048810D-02,0.1067460D-02, + 0.1083460D-02,0.1097310D-02,0.1108910D-02,0.1118640D-02, + 0.1126865D-02,0.1133915D-02,0.1139830D-02,0.1144570D-02, + 0.1148275D-02,0.1151200D-02,0.1153510D-02,0.1155300D-02, + 0.1156700D-02,0.1162205D-02,0.1170990D-02,0.1178145D-02, + 0.9360000D-04,0.1757000D-03,0.2528000D-03,0.3281500D-03, + 0.4038500D-03,0.4816500D-03,0.5694500D-03,0.6784000D-03, + 0.8184000D-03,0.1004900D-02,0.1257900D-02,0.1568900D-02, + 0.1905400D-02,0.2254400D-02,0.2623400D-02,0.3025400D-02, + 0.3480900D-02,0.4008900D-02,0.4609400D-02,0.5266900D-02, + 0.5948400D-02,0.6622900D-02,0.7266400D-02,0.7857900D-02, + 0.8381900D-02,0.8836901D-02,0.9233401D-02,0.9573901D-02, + 0.9866901D-02,0.1012140D-01,0.1033940D-01,0.1052340D-01, + 0.1068140D-01,0.1081840D-01,0.1093290D-01,0.1102855D-01, + 0.1110965D-01,0.1117920D-01,0.1123750D-01,0.1128425D-01, + 0.1132085D-01,0.1134975D-01,0.1137255D-01,0.1139020D-01, + 0.1140400D-01,0.1141492D-01,0.1142358D-01,0.1143063D-01, + 0.2500000D-03,0.4690000D-03,0.6745000D-03,0.8755000D-03, + 0.1077500D-02,0.1285000D-02,0.1519500D-02,0.1810000D-02, + 0.2182500D-02,0.2679500D-02,0.3353500D-02,0.4182000D-02, + 0.5079000D-02,0.6010000D-02,0.6994000D-02,0.8064000D-02, + 0.9279000D-02,0.1068900D-01,0.1228900D-01,0.1403900D-01, + 0.1585400D-01,0.1765400D-01,0.1937400D-01,0.2095400D-01, + 0.2235400D-01,0.2356900D-01,0.2462600D-01,0.2553350D-01, + 0.2631400D-01,0.2699250D-01,0.2757350D-01,0.2806300D-01, + 0.2848350D-01,0.2884800D-01,0.2915300D-01,0.2940850D-01, + 0.2962500D-01,0.2981050D-01,0.2996600D-01,0.3009050D-01, + 0.3018780D-01,0.3026480D-01,0.3032550D-01,0.3037250D-01, + 0.3040925D-01,0.3043835D-01,0.3046145D-01,0.3048025D-01, + 0.3585000D-03,0.6725000D-03,0.9675000D-03,0.1256000D-02, + 0.1545500D-02,0.1843000D-02,0.2179000D-02,0.2595500D-02, + 0.3130000D-02,0.3843500D-02,0.4813500D-02,0.6003500D-02, + 0.7288500D-02,0.8623499D-02,0.1003850D-01,0.1157850D-01, + 0.1331850D-01,0.1533350D-01,0.1762850D-01,0.2014350D-01, + 0.2274850D-01,0.2532850D-01,0.2779350D-01,0.3005850D-01, + 0.3206350D-01,0.3380350D-01,0.3531851D-01,0.3661850D-01, + 0.3773851D-01,0.3871351D-01,0.3954751D-01,0.4025051D-01, + 0.4085401D-01,0.4137701D-01,0.4181501D-01,0.4218151D-01, + 0.4249151D-01,0.4275751D-01,0.4298101D-01,0.4316001D-01, + 0.4330001D-01,0.4341061D-01,0.4349771D-01,0.4356516D-01, + 0.4361791D-01,0.4365961D-01,0.4369271D-01,0.4371971D-01, + 0.1685000D-03,0.3160000D-03,0.4545000D-03,0.5900000D-03, + 0.7260000D-03,0.8655000D-03,0.1023000D-02,0.1218500D-02, + 0.1469500D-02,0.1804500D-02,0.2259000D-02,0.2817500D-02, + 0.3422000D-02,0.4049500D-02,0.4712999D-02,0.5434999D-02, + 0.6252999D-02,0.7203000D-02,0.8283000D-02,0.9462999D-02, + 0.1068800D-01,0.1190300D-01,0.1306300D-01,0.1412800D-01, + 0.1507000D-01,0.1588850D-01,0.1660150D-01,0.1721300D-01, + 0.1773900D-01,0.1819650D-01,0.1858850D-01,0.1891850D-01, + 0.1920150D-01,0.1944700D-01,0.1965250D-01,0.1982450D-01, + 0.1997050D-01,0.2009550D-01,0.2020010D-01,0.2028410D-01, + 0.2034985D-01,0.2040175D-01,0.2044265D-01,0.2047435D-01, + 0.2049915D-01,0.2051875D-01,0.2053430D-01,0.2054695D-01 / DATA AE_ABI / + 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0.5742220E-01,0.5749900E-01,0.5755180E-01,0.5758900E-01, + 0.5761900E-01,0.5764660E-01,0.5767180E-01,0.5769520E-01, + 0.3105000E-01,0.4439000E-01,0.5037000E-01,0.5284500E-01, + 0.5371000E-01,0.5402050E-01,0.5412975E-01,0.5417345E-01, + 0.5420220E-01,0.5422865E-01,0.5425510E-01,0.5428385E-01, + 0.5432295E-01,0.5438620E-01,0.5446785E-01,0.5455640E-01, + 0.5465390E-01,0.5475485E-01,0.5485145E-01,0.5494460E-01, + 0.5503430E-01,0.5510790E-01,0.5515850E-01,0.5519415E-01, + 0.5522290E-01,0.5524935E-01,0.5527350E-01,0.5529590E-01, + 0.2700000E-01,0.3860000E-01,0.4380000E-01,0.4595000E-01, + 0.4670000E-01,0.4697000E-01,0.4706500E-01,0.4710300E-01, + 0.4712800E-01,0.4715100E-01,0.4717400E-01,0.4719900E-01, + 0.4723300E-01,0.4728800E-01,0.4735900E-01,0.4743600E-01, + 0.4752100E-01,0.4760900E-01,0.4769300E-01,0.4777400E-01, + 0.4785200E-01,0.4791600E-01,0.4796000E-01,0.4799100E-01, + 0.4801600E-01,0.4803900E-01,0.4806000E-01,0.4807950E-01, + 0.2430000E-01,0.3474000E-01,0.3942000E-01,0.4135500E-01, + 0.4203000E-01,0.4227300E-01,0.4235850E-01,0.4239270E-01, + 0.4241520E-01,0.4243590E-01,0.4245660E-01,0.4247910E-01, + 0.4250970E-01,0.4255920E-01,0.4262310E-01,0.4269240E-01, + 0.4276890E-01,0.4284810E-01,0.4292370E-01,0.4299660E-01, + 0.4306680E-01,0.4312440E-01,0.4316400E-01,0.4319190E-01, + 0.4321440E-01,0.4323510E-01,0.4325400E-01,0.4327155E-01, + 0.2255000E-01,0.3225500E-01,0.3659500E-01,0.3838900E-01, + 0.3901500E-01,0.3924050E-01,0.3931985E-01,0.3935155E-01, + 0.3937240E-01,0.3939160E-01,0.3941080E-01,0.3943165E-01, + 0.3946005E-01,0.3950600E-01,0.3956530E-01,0.3962960E-01, + 0.3970055E-01,0.3977400E-01,0.3984415E-01,0.3991180E-01, + 0.3997695E-01,0.4003040E-01,0.4006715E-01,0.4009305E-01, + 0.4011390E-01,0.4013310E-01,0.4015065E-01,0.4016695E-01, + 0.2130000E-01,0.3044500E-01,0.3455500E-01,0.3625450E-01, + 0.3684700E-01,0.3706050E-01,0.3713575E-01,0.3716575E-01, + 0.3718550E-01,0.3720370E-01,0.3722190E-01,0.3724165E-01, + 0.3726850E-01,0.3731195E-01,0.3736805E-01,0.3742890E-01, + 0.3749605E-01,0.3756555E-01,0.3763190E-01,0.3769590E-01, + 0.3775750E-01,0.3780805E-01,0.3784280E-01,0.3786725E-01, + 0.3788700E-01,0.3790520E-01,0.3792180E-01,0.3793720E-01, + 0.2025000E-01,0.2895000E-01,0.3285000E-01,0.3446250E-01, + 0.3502500E-01,0.3522750E-01,0.3529875E-01,0.3532725E-01, + 0.3534600E-01,0.3536325E-01,0.3538050E-01,0.3539925E-01, + 0.3542475E-01,0.3546600E-01,0.3551925E-01,0.3557700E-01, + 0.3564075E-01,0.3570675E-01,0.3576975E-01,0.3583050E-01, + 0.3588900E-01,0.3593700E-01,0.3597000E-01,0.3599325E-01, + 0.3601200E-01,0.3602925E-01,0.3604500E-01,0.3605960E-01, + 0.1920000E-01,0.2745500E-01,0.3114500E-01,0.3267050E-01, + 0.3320300E-01,0.3339470E-01,0.3346215E-01,0.3348915E-01, + 0.3350690E-01,0.3352320E-01,0.3353950E-01,0.3355725E-01, + 0.3358140E-01,0.3362045E-01,0.3367085E-01,0.3372550E-01, + 0.3378585E-01,0.3384835E-01,0.3390800E-01,0.3396550E-01, + 0.3402090E-01,0.3406635E-01,0.3409760E-01,0.3411965E-01, + 0.3413740E-01,0.3415370E-01,0.3416860E-01,0.3418245E-01 / DATA BATM / 1222.6562D0,1144.9069D0,1305.5948D0,540.1778D0,0.D0 / DATA CATM / 994186.38D0,878153.55D0,636143.04D0,772170.16D0,1.D-9/ DATA LAHG / 2000.0D2,4.0D5,1.0D6,4.0D6,1.0D7 / DATA Lm /3.70D5,3.85D5,4.0D5,4.17D5,4.17D5,4.35D5,5.0D5,5.56D5, + 5.99D5,6.33D5, 6.67D5,7.04D5 / DATA LONG / + 280.0, + 300.0, + 320.0, + 340.0, + 360.0, + 380.0, + 400.0, + 450.0, + 500.0, + 550.0, + 600.0, + 650.0 / DATA PI / 3.141592654D0 / PARAMETER (RT=6348.0D5) *********************************************************************** * * SCATTERING PARAMETERS FOR RAYLEIGH: * * MEAN FREE PATH FOR SCATTERING RAYLEIGH (g/cm^2) PARAMETER (XR=2.970D3) *********************************************************************** T_Ray = 1.0 T_Mie = 1.0 T_Oz = 1.0 H = -RT + SQRT(RT**2 + (height/COS(theta))**2 + + (2.0D0*RT*height)) ROW = AINT(((H+1.)/1.0E5)) *********************************************************************** * * LARGE ZENITH ANGLE FACTOR (AIR MASS): m= (1.D0/H)*(SQRT((RT*COS(theta))**2+(2*RT*H)+H**2)- + (RT*COS(theta))) ********************************************************************** * RAYLEIGH SCATTERING RHOTOT = 0.0 do 11 i=1,5 RHOF(i) = 0 11 continue DO 91 I=2,5 IF ( H .LT. LAHG(I) ) THEN RHOTOT = RHOTOT + + BATM(I-1)*(EXP(-LAHG(I-1)/CATM(I-1) ) - + EXP(-H/CATM(I-1))) GOTO 92 ELSE RHOTOT = RHOTOT + + BATM(I-1)*(EXP(-LAHG(I-1)/CATM(I-1) ) - + EXP(-LAHG(I)/CATM(I-1))) ENDIF 91 CONTINUE 92 RHO_FI = m*RHOTOT T_Ray = EXP(-(RHO_FI/XR)*(400.D0/wavelength)**4) *************************************************************************** * * * MIE ABSORPTION: WE USE FOR HEIGHTS LOWER THAN 10 Km AN EXACT FORMULA* * FOR THE AEROSOL DENSITY, AND WE USE A TABLE FOR HIGHTS HIGHER THAN * * 10 Km. WE TAKE THE TABLE FROM THE ALTERMAN ARTICLE. * *************************************************************************** *************************************************************************** * * * MIE SCATTERING PARAMETERS * Hm = 1.2D5 *************************************************************************** IF (ROW.GT.27) THEN ROW=28 ENDIF CON_MI = 2 1001 IF (ABS(LONG(CON_MI)-wavelength).LT.0.01) THEN TOT_AE =AE_ABI(ROW,CON_MI) ELSEIF (LONG(CON_MI).GT.wavelength) THEN A = (AE_ABI(ROW,CON_MI)-AE_ABI(ROW,CON_MI-1))/ + (LONG(CON_MI) - LONG(CON_MI-1)) B = AE_ABI(ROW,CON_MI) - (A*LONG(CON_MI)) TOT_AE = A*wavelength + B ELSE CON_MI = CON_MI +1 GOTO 1001 ENDIF T_Mie = EXP(-(m*TOT_AE)) *********************************************************************** * * * OZONE ABSORPTION: We used the Elterman table. * * * *********************************************************************** IF (ROW.GT.47) THEN ROW = 47 ENDIF CON_OZ = 2 2001 IF (LONG(CON_OZ).GT.wavelength) THEN A = (OZ_ABI(ROW,CON_OZ)-OZ_ABI(ROW,CON_OZ-1))/ + (LONG(CON_OZ) - LONG(CON_OZ-1)) B = OZ_ABI(ROW,CON_OZ) - (A*LONG(CON_OZ)) TOT_OZ = (A* wavelength)+B ELSEIF (ABS(LONG(CON_OZ)-wavelength).LT.0.01) THEN TOT_OZ = OZ_ABI(ROW,CON_OZ) ELSE CON_OZ = CON_OZ + 1 GOTO 2001 ENDIF T_Oz = EXP(-(m*TOT_OZ)) ************************************************************************ * * * TOTAL TRANSMISSION OF THE ATMOSPHERE: (RAYLEIGH + MIE + OZONE) * ************************************************************************ tr_atmos = T_Ray*T_Mie*T_Oz RETURN END c @endcode c EOF