1 | !OPTIONS XOPT(HSFUN) |
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2 | SUBROUTINE LWTTM ( KIDIA, KFDIA, KLON, PGA , PGB, PUU1 , PUU2 , PTT ) |
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3 | |
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4 | !**** *LWTTM* - LONGWAVE TRANSMISSION FUNCTIONS |
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5 | |
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6 | ! PURPOSE. |
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7 | ! -------- |
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8 | ! THIS ROUTINE COMPUTES THE TRANSMISSION FUNCTIONS FOR ALL THE |
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9 | ! ABSORBERS (H2O, UNIFORMLY MIXED GASES, AND O3) IN ALL SIX SPECTRAL |
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10 | ! INTERVALS. |
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11 | |
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12 | !** INTERFACE. |
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13 | ! ---------- |
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14 | ! *LWTTM* IS CALLED FROM *LWVD* |
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15 | |
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16 | ! EXPLICIT ARGUMENTS : |
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17 | ! -------------------- |
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18 | ! ==== INPUTS === |
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19 | ! PGA, PGB ; PADE APPROXIMANTS |
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20 | ! PUU1 : (KLON,NUA) ; ABSORBER AMOUNTS FROM TOP TO LEVEL 1 |
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21 | ! PUU2 : (KLON,NUA) ; ABSORBER AMOUNTS FROM TOP TO LEVEL 2 |
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22 | ! ==== OUTPUTS === |
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23 | ! PTT : (KLON,NTRA) ; TRANSMISSION FUNCTIONS |
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24 | |
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25 | ! IMPLICIT ARGUMENTS : NONE |
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26 | ! -------------------- |
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27 | |
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28 | ! METHOD. |
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29 | ! ------- |
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30 | |
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31 | ! 1. TRANSMISSION FUNCTION BY H2O AND UNIFORMLY MIXED GASES ARE |
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32 | ! COMPUTED USING PADE APPROXIMANTS AND HORNER'S ALGORITHM. |
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33 | ! 2. TRANSMISSION BY O3 IS EVALUATED WITH MALKMUS'S BAND MODEL. |
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34 | ! 3. TRANSMISSION BY H2O CONTINUUM AND AEROSOLS FOLLOW AN |
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35 | ! A SIMPLE EXPONENTIAL DECREASE WITH ABSORBER AMOUNT. |
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36 | |
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37 | ! EXTERNALS. |
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38 | ! ---------- |
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39 | |
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40 | ! NONE |
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41 | |
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42 | ! REFERENCE. |
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43 | ! ---------- |
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44 | |
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45 | ! SEE RADIATION'S PART OF THE MODEL'S DOCUMENTATION AND |
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46 | ! ECMWF RESEARCH DEPARTMENT DOCUMENTATION OF THE IFS |
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47 | |
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48 | ! AUTHOR. |
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49 | ! ------- |
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50 | ! JEAN-JACQUES MORCRETTE *ECMWF* |
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51 | |
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52 | ! MODIFICATIONS. |
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53 | ! -------------- |
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54 | ! ORIGINAL : 88-12-15 |
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55 | ! 97-04-18 JJ Morcrette Revised continuum |
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56 | ! M.Hamrud 01-Oct-2003 CY28 Cleaning |
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57 | |
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58 | !----------------------------------------------------------------------- |
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59 | |
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60 | USE PARKIND1 ,ONLY : JPIM ,JPRB |
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61 | USE YOMHOOK ,ONLY : LHOOK, DR_HOOK |
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62 | |
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63 | USE YOELW , ONLY : NTRA ,NUA ,RPTYPE ,RETYPE ,& |
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64 | & RO1H ,RO2H ,RPIALF0 |
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65 | |
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66 | IMPLICIT NONE |
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67 | |
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68 | INTEGER(KIND=JPIM),INTENT(IN) :: KLON |
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69 | INTEGER(KIND=JPIM),INTENT(IN) :: KIDIA |
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70 | INTEGER(KIND=JPIM),INTENT(IN) :: KFDIA |
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71 | REAL(KIND=JPRB) ,INTENT(IN) :: PGA(KLON,8,2) |
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72 | REAL(KIND=JPRB) ,INTENT(IN) :: PGB(KLON,8,2) |
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73 | REAL(KIND=JPRB) ,INTENT(IN) :: PUU1(KLON,NUA) |
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74 | REAL(KIND=JPRB) ,INTENT(IN) :: PUU2(KLON,NUA) |
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75 | REAL(KIND=JPRB) ,INTENT(OUT) :: PTT(KLON,NTRA) |
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76 | ! ------------------------------------------------------------------ |
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77 | |
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78 | !* 0.1 ARGUMENTS |
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79 | ! --------- |
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80 | |
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81 | INTEGER(KIND=JPIM) :: JA, JL |
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82 | |
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83 | REAL(KIND=JPRB) :: ZA11, ZA12, ZAERCN, ZEU, ZEU10, ZEU11, ZEU12,& |
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84 | & ZEU13, ZODH41, ZODH42, ZODN21, ZODN22, ZPU, & |
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85 | & ZPU10, ZPU11, ZPU12, ZPU13, ZSQ1, ZSQ2, ZSQH41, & |
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86 | & ZSQH42, ZSQN21, ZSQN22, ZTO1, ZTO2, ZTTF11, & |
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87 | & ZTTF12, ZUU11, ZUU12, ZUXY, ZVXY, ZX, ZXCH4, & |
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88 | & ZXD, ZXN, ZXN2O, ZY, ZYCH4, ZYN2O, ZZ |
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89 | REAL(KIND=JPRB) :: ZHOOK_HANDLE |
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90 | |
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91 | ! ------------------------------------------------------------------ |
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92 | !DIR$ VFUNCTION SQRTHF |
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93 | |
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94 | !* 1. HORNER'S ALGORITHM FOR H2O AND CO2 TRANSMISSION |
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95 | ! ----------------------------------------------- |
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96 | |
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97 | IF (LHOOK) CALL DR_HOOK('LWTTM',0,ZHOOK_HANDLE) |
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98 | DO JA = 1 , 8 |
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99 | DO JL = KIDIA,KFDIA |
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100 | ZZ = SQRT(PUU1(JL,JA) - PUU2(JL,JA)) |
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101 | ZXD = PGB( JL,JA,1) + ZZ * (PGB( JL,JA,2) + ZZ ) |
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102 | ZXN = PGA( JL,JA,1) + ZZ * (PGA( JL,JA,2) ) |
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103 | PTT(JL,JA) = ZXN / ZXD |
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104 | ENDDO |
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105 | ENDDO |
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106 | |
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107 | DO JL = KIDIA,KFDIA |
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108 | PTT(JL,3)=MAX(PTT(JL,3),0.0_JPRB) |
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109 | ENDDO |
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110 | ! ------------------------------------------------------------------ |
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111 | |
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112 | !* 2. CONTINUUM, OZONE AND AEROSOL TRANSMISSION FUNCTIONS |
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113 | ! --------------------------------------------------- |
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114 | |
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115 | DO JL = KIDIA,KFDIA |
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116 | PTT(JL, 9) = PTT(JL, 8) |
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117 | |
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118 | !- CONTINUUM ABSORPTION: E- AND P-TYPE |
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119 | |
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120 | ZPU = (PUU1(JL,10) - PUU2(JL,10)) |
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121 | ZPU10 = RPTYPE(1) * ZPU |
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122 | ZPU11 = RPTYPE(2) * ZPU |
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123 | ZPU12 = RPTYPE(3) * ZPU |
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124 | ZPU13 = RPTYPE(4) * ZPU |
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125 | ZEU = (PUU1(JL,11) - PUU2(JL,11)) |
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126 | ZEU10 = RETYPE(1) * ZEU |
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127 | ZEU11 = RETYPE(2) * ZEU |
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128 | ZEU12 = RETYPE(3) * ZEU |
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129 | ZEU13 = RETYPE(4) * ZEU |
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130 | |
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131 | !- OZONE ABSORPTION |
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132 | |
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133 | ZX = (PUU1(JL,12) - PUU2(JL,12)) |
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134 | ZY = (PUU1(JL,13) - PUU2(JL,13)) |
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135 | ZUXY = 4._JPRB * ZX * ZX / (RPIALF0 * ZY) |
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136 | ZSQ1 = SQRT(1.0_JPRB + RO1H * ZUXY ) - 1.0_JPRB |
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137 | ZSQ2 = SQRT(1.0_JPRB + RO2H * ZUXY ) - 1.0_JPRB |
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138 | ZVXY = RPIALF0 * ZY / (2.0_JPRB * ZX) |
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139 | ZAERCN = (PUU1(JL,17) -PUU2(JL,17)) + ZEU12 + ZPU12 |
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140 | ZTO1 = EXP( - ZVXY * ZSQ1 - ZAERCN ) |
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141 | ZTO2 = EXP( - ZVXY * ZSQ2 - ZAERCN ) |
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142 | |
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143 | !-- TRACE GASES (CH4, N2O, CFC-11, CFC-12) |
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144 | |
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145 | !* CH4 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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146 | |
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147 | ZXCH4 = (PUU1(JL,19) - PUU2(JL,19)) |
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148 | ZYCH4 = (PUU1(JL,20) - PUU2(JL,20)) |
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149 | ZUXY = 4._JPRB * ZXCH4*ZXCH4/(0.103_JPRB*ZYCH4) |
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150 | ZSQH41 = SQRT(1.0_JPRB + 33.7_JPRB * ZUXY) - 1.0_JPRB |
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151 | ZVXY = 0.103_JPRB * ZYCH4 / (2.0_JPRB * ZXCH4) |
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152 | ZODH41 = ZVXY * ZSQH41 |
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153 | |
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154 | !* N2O IN INTERVAL 800-970 + 1110-1250 CM-1 |
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155 | |
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156 | ZXN2O = (PUU1(JL,21) - PUU2(JL,21)) |
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157 | ZYN2O = (PUU1(JL,22) - PUU2(JL,22)) |
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158 | ZUXY = 4._JPRB * ZXN2O*ZXN2O/(0.416_JPRB*ZYN2O) |
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159 | ZSQN21 = SQRT(1.0_JPRB + 21.3_JPRB * ZUXY) - 1.0_JPRB |
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160 | ZVXY = 0.416_JPRB * ZYN2O / (2.0_JPRB * ZXN2O) |
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161 | ZODN21 = ZVXY * ZSQN21 |
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162 | |
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163 | !* CH4 IN INTERVAL 1250-1450 + 1880-2820 CM-1 |
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164 | |
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165 | ZUXY = 4._JPRB * ZXCH4*ZXCH4/(0.113_JPRB*ZYCH4) |
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166 | ZSQH42 = SQRT(1.0_JPRB + 400._JPRB * ZUXY) - 1.0_JPRB |
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167 | ZVXY = 0.113_JPRB * ZYCH4 / (2.0_JPRB * ZXCH4) |
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168 | ZODH42 = ZVXY * ZSQH42 |
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169 | |
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170 | !* N2O IN INTERVAL 1250-1450 + 1880-2820 CM-1 |
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171 | |
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172 | ZUXY = 4._JPRB * ZXN2O*ZXN2O/(0.197_JPRB*ZYN2O) |
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173 | ZSQN22 = SQRT(1.0_JPRB + 2000._JPRB * ZUXY) - 1.0_JPRB |
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174 | ZVXY = 0.197_JPRB * ZYN2O / (2.0_JPRB * ZXN2O) |
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175 | ZODN22 = ZVXY * ZSQN22 |
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176 | |
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177 | !* CFC-11 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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178 | |
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179 | ZA11 = (PUU1(JL,23) - PUU2(JL,23)) * 4.404E+05_JPRB |
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180 | ZTTF11 = 1.0_JPRB - ZA11 * 0.003225_JPRB |
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181 | |
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182 | !* CFC-12 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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183 | |
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184 | ZA12 = (PUU1(JL,24) - PUU2(JL,24)) * 6.7435E+05_JPRB |
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185 | ZTTF12 = 1.0_JPRB - ZA12 * 0.003225_JPRB |
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186 | |
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187 | ZUU11 = - (PUU1(JL,15) - PUU2(JL,15)) - ZEU10 - ZPU10 |
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188 | ZUU12 = - (PUU1(JL,16) - PUU2(JL,16)) - ZEU11 - ZPU11 -ZODH41 - ZODN21 |
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189 | PTT(JL,10) = EXP( - (PUU1(JL,14)- PUU2(JL,14)) ) |
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190 | PTT(JL,11) = EXP( ZUU11 ) |
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191 | PTT(JL,12) = EXP( ZUU12 ) * ZTTF11 * ZTTF12 |
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192 | PTT(JL,13) = 0.7554_JPRB * ZTO1 + 0.2446_JPRB * ZTO2 |
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193 | PTT(JL,14) = PTT(JL,10) * EXP( - ZEU13 - ZPU13 ) |
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194 | PTT(JL,15) = EXP( - (PUU1(JL,14) - PUU2(JL,14)) - ZODH42-ZODN22 ) |
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195 | |
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196 | ENDDO |
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197 | |
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198 | IF (LHOOK) CALL DR_HOOK('LWTTM',1,ZHOOK_HANDLE) |
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199 | END SUBROUTINE LWTTM |
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