| [3] | 1 | SUBROUTINE DMIESS( RO, RFR, RFI, THETD, JX, |
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| 2 | 2 QEXT, QSCAT, CTBRQS, ELTRMX, PI, |
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| 3 | 3 TAU, CSTHT, SI2THT, ACAP, IT, |
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| 4 | 4 LL, R, RE2, TMAG2, WVNO ) |
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| 5 | C |
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| 6 | C THIS VERSION OF THE FAMOUS DMIESS CODE IS ADAPTED FOR THE VAX |
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| 7 | C ITS ACCURACY HAS BEEN CHECKED BY COMPARISON TO CRAY RUNS. |
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| 8 | C -C.P. MCKAY |
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| 9 | C |
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| 10 | IMPLICIT REAL (A-H,O-Z) |
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| 11 | C |
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| 12 | COMPLEX FNAP, FNBP, ACAP(LL), W, |
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| 13 | 2 FNA, FNB, RF, RRF, |
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| 14 | 3 RRFX, WM1, FN1, FN2, |
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| 15 | 4 TC1, TC2, WFN(2), Z(4), |
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| 16 | 5 K1, K2, K3, SIN, |
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| 17 | 6 COS, RC, U(8), DH1, |
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| 18 | 7 DH2, DH4, P24H24, P24H21, |
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| 19 | 8 PSTORE, HSTORE, DUMMY, DUMSQ |
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| 20 | C |
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| 21 | DIMENSION W(3,9000) |
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| 22 | DIMENSION T(5), TA(4), TB(2), TC(2), |
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| 23 | 2 TD(2), TE(2), PI( 3,IT ), TAU( 3,IT ), |
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| 24 | 3 CSTHT(IT), THETD(IT), SI2THT(IT), ELTRMX( 4,IT,2 ) |
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| 25 | C |
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| 26 | EQUIVALENCE ( WFN(1),TA(1) ), ( FNA,TB(1) ), |
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| 27 | 2 ( FNB,TC(1) ), ( FNAP,TD(1) ), |
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| 28 | 3 ( FNBP,TE(1) ) |
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| 29 | C |
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| 30 | C |
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| 31 | C THIS SUBROUTINE COMPUTES MIE SCATTERING BY A STRATIFIED SPHERE |
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| 32 | C I.E. A PARTICLE CONSISTING OF A SPHERICAL CORE SURROUNDED BY A |
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| 33 | C SPHERICAL SHELL. THE BASIC CODE USED WAS THAT DESCRIBED IN THE |
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| 34 | C REPORT: " SUBROUTINES FOR COMPUTING THE PARAMETERS OF THE |
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| 35 | C ELECTROMAGNETIC RADIATION SCATTERED BY A SPHERE " J.V. DAVE, |
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| 36 | C I B M SCIENTIFIC CENTER, PALO ALTO , CALIFORNIA. |
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| 37 | C REPORT NO. 320 - 3236 .. MAY 1968 . |
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| 38 | C |
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| 39 | C THE MODIFICATIONS FOR STRATIFIED SPHERES ARE DESCRIBED IN |
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| 40 | C TOON AND ACKERMAN, APPL. OPTICS, IN PRESS, 1981 |
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| 41 | C |
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| 42 | C |
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| 43 | C THE PARAMETERS IN THE CALLING STATEMENT ARE DEFINED AS FOLLOWS : |
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| 44 | C RO IS THE OUTER (SHELL) RADIUS; |
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| 45 | C R IS THE CORE RADIUS; |
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| 46 | C RFR, RFI ARE THE REAL AND IMAGINARY PARTS OF THE SHELL INDEX |
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| 47 | C OF REFRACTION IN THE FORM (RFR - I* RFI); |
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| 48 | C RE2, TMAG2 ARE THE INDEX PARTS FOR THE CORE; |
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| 49 | C ( WE ASSUME SPACE HAS UNIT INDEX. ) |
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| 50 | C THETD(J): ANGLE IN DEGREES BETWEEN THE DIRECTIONS OF THE INCIDENT |
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| 51 | C AND THE SCATTERED RADIATION. THETD(J) IS< OR= 90.0 |
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| 52 | C IF THETD(J) SHOULD HAPPEN TO BE GREATER THAN 90.0, ENTER WITH |
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| 53 | C SUPPLEMENTARY VALUE, SEE COMMENTS BELOW ON ELTRMX; |
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| 54 | C JX: TOTAL NUMBER OF THETD FOR WHICH THE COMPUTATIONS ARE |
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| 55 | C REQUIRED. JX SHOULD NOT EXCEED IT UNLESS THE DIMENSIONS |
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| 56 | C STATEMENTS ARE APPROPRIATEDLY MODIFIED; |
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| 57 | C |
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| 58 | C THE DEFINITIONS FOR THE FOLLOWING SYMBOLS CAN BE FOUND IN"LIGHT |
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| 59 | C SCATTERING BY SMALL PARTICLES,H.C.VAN DE HULST, JOHN WILEY ' |
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| 60 | C SONS, INC., NEW YORK, 1957" . |
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| 61 | C QEXT: EFFIECIENCY FACTOR FOR EXTINCTION,VAN DE HULST,P.14 ' 127. |
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| 62 | C QSCAT: EFFIECINCY FACTOR FOR SCATTERING,V.D. HULST,P.14 ' 127. |
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| 63 | C CTBRQS: AVERAGE(COSINE THETA) * QSCAT,VAN DE HULST,P.128 |
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| 64 | C ELTRMX(I,J,K): ELEMENTS OF THE TRANSFORMATION MATRIX F,V.D.HULST |
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| 65 | C ,P.34,45 ' 125. I=1: ELEMENT M SUB 2..I=2: ELEMENT M SUB 1.. |
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| 66 | C I = 3: ELEMENT S SUB 21.. I = 4: ELEMENT D SUB 21.. |
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| 67 | C ELTRMX(I,J,1) REPRESENTS THE ITH ELEMENT OF THE MATRIX FOR |
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| 68 | C THE ANGLE THETD(J).. ELTRMX(I,J,2) REPRESENTS THE ITH ELEMENT |
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| 69 | C OF THE MATRIX FOR THE ANGLE 180.0 - THETD(J) .. |
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| 70 | C |
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| 71 | C IT: IS THE DIMENSION OF THETD, ELTRMX, CSTHT, PI, TAU, SI2THT, |
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| 72 | C IT MUST CORRESPOND EXACTLY TO THE SECOND DIMENSION OF ELTRMX. |
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| 73 | C LL: IS THE DIMENSION OF ACAP |
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| 74 | C IN THE ORIGINAL PROGRAM THE DIMENSION OF ACAP WAS 7000. |
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| 75 | C FOR CONSERVING SPACE THIS SHOULD BE NOT MUCH HIGHER THAN |
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| 76 | C THE VALUE, N=1.1*(NREAL**2 + NIMAG**2)**.5 * X + 1 |
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| 77 | C WVNO: 2*PI / WAVELENGTH |
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| 78 | C |
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| 79 | C THIS SUBROUTINE COMPUTES THE CAPITAL A FUNCTION BY MAKING USE OF |
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| 80 | C DOWNWARD RECURRENCE RELATIONSHIP. |
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| 81 | C |
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| 82 | C TA(1): REAL PART OF WFN(1). TA(2): IMAGINARY PART OF WFN(1). |
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| 83 | C TA(3): REAL PART OF WFN(2). TA(4): IMAGINARY PART OF WFN(2). |
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| 84 | C TB(1): REAL PART OF FNA. TB(2): IMAGINARY PART OF FNA. |
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| 85 | C TC(1): REAL PART OF FNB. TC(2): IMAGINARY PART OF FNB. |
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| 86 | C TD(1): REAL PART OF FNAP. TD(2): IMAGINARY PART OF FNAP. |
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| 87 | C TE(1): REAL PART OF FNBP. TE(2): IMAGINARY PART OF FNBP. |
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| 88 | C FNAP, FNBP ARE THE PRECEDING VALUES OF FNA, FNB RESPECTIVELY. |
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| 89 | C |
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| 90 | C IF THE CORE IS SMALL SCATTERING IS COMPUTED FOR THE SHELL ONLY |
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| 91 | |
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| 92 | c print*,'debut dmiess ',second(0.) |
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| 93 | |
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| 94 | IFLAG = 1 |
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| 95 | IF ( R/RO .LT. 1.0E-06 ) IFLAG = 2 |
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| 96 | C |
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| 97 | IF ( JX .LE. IT ) GO TO 20 |
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| 98 | WRITE( 6,7 ) |
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| 99 | WRITE( 6,6 ) |
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| 100 | STOP 30 |
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| 101 | 20 RF = CMPLX( RFR, -RFI ) |
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| 102 | RC = CMPLX( RE2,-TMAG2 ) |
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| 103 | X = RO * WVNO |
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| 104 | K1 = RC * WVNO |
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| 105 | K2 = RF * WVNO |
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| 106 | ZET=0.0 |
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| 107 | K3 = CMPLX( WVNO, ZET ) |
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| 108 | Z(1) = K2 * RO |
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| 109 | Z(2) = K3 * RO |
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| 110 | Z(3) = K1 * R |
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| 111 | Z(4) = K2 * R |
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| 112 | X1 = REAL( Z(1) ) |
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| 113 | Y1 = AIMAG( Z(1) ) |
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| 114 | X4 = REAL( Z(4) ) |
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| 115 | Y4 = AIMAG( Z(4) ) |
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| 116 | c X1 = REAL( Z(1) ) |
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| 117 | c Y1 = AIMAG( Z(1) ) |
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| 118 | c X4 = REAL( Z(4) ) |
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| 119 | c Y4 = AIMAG( Z(4) ) |
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| 120 | RRF = 1.0 / RF |
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| 121 | RX = 1.0 / X |
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| 122 | RRFX = RRF * RX |
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| 123 | T(1) = ( X**2 ) * ( RFR**2 + RFI**2 ) |
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| 124 | T(1) = SQRT( T(1) ) |
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| 125 | NMX1 = 1.10 * T(1) |
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| 126 | |
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| 127 | C |
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| 128 | IF ( NMX1 .LE. LL-1 ) GO TO 21 |
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| 129 | WRITE(6,8) |
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| 130 | PRINT*,'LL =',LL |
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| 131 | STOP 32 |
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| 132 | 21 NMX2 = T(1) |
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| 133 | IF ( NMX1 .GT. 150 ) GO TO 22 |
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| 134 | NMX1 = 150 |
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| 135 | NMX2 = 135 |
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| 136 | C |
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| 137 | 22 ACAP( NMX1+1 ) = ( 0.0,0.0 ) |
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| 138 | IF ( IFLAG .EQ. 2 ) GO TO 26 |
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| 139 | DO 29 N = 1,3 |
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| 140 | 29 W( N,NMX1+1 ) = ( 0.0,0.0 ) |
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| 141 | 26 CONTINUE |
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| 142 | DO 23 N = 1,NMX1 |
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| 143 | NN = NMX1 - N + 1 |
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| 144 | ACAP(NN) = (NN+1) * RRFX - 1.0 / ( (NN+1) * RRFX + ACAP(NN+1) ) |
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| 145 | IF ( IFLAG .EQ. 2 ) GO TO 23 |
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| 146 | DO 31 M = 1,3 |
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| 147 | 31 W( M,NN ) = (NN+1) / Z(M+1) - |
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| 148 | 1 1.0 / ( (NN+1) / Z(M+1) + W( M,NN+1 ) ) |
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| 149 | 23 CONTINUE |
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| 150 | DO 30 J = 1,JX |
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| 151 | IF ( THETD(J) .LT. 0.0 ) THETD(J) = ABS( THETD(J) ) |
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| 152 | IF ( THETD(J) .GT. 0.0 ) GO TO 24 |
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| 153 | CSTHT(J) = 1.0 |
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| 154 | SI2THT(J) = 0.0 |
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| 155 | GO TO 30 |
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| 156 | 24 IF ( THETD(J) .GE. 90.0 ) GO TO 25 |
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| 157 | T(1) = ( 3.14159265359 * THETD(J) ) / 180.0 |
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| 158 | CSTHT(J) = COS( T(1) ) |
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| 159 | SI2THT(J) = 1.0 - CSTHT(J)**2 |
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| 160 | GO TO 30 |
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| 161 | 25 IF ( THETD(J) .GT. 90.0 ) GO TO 28 |
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| 162 | CSTHT(J) = 0.0 |
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| 163 | SI2THT(J) = 1.0 |
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| 164 | GO TO 30 |
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| 165 | 28 WRITE( 6,5 ) THETD(J) |
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| 166 | WRITE( 6,6 ) |
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| 167 | STOP 34 |
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| 168 | 30 CONTINUE |
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| 169 | C |
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| 170 | DO 35 J = 1,JX |
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| 171 | PI(1,J) = 0.0 |
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| 172 | PI(2,J) = 1.0 |
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| 173 | TAU(1,J) = 0.0 |
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| 174 | TAU(2,J) = CSTHT(J) |
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| 175 | 35 CONTINUE |
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| 176 | C |
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| 177 | C INITIALIZATION OF HOMOGENEOUS SPHERE |
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| 178 | T(1) = COS(X) |
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| 179 | T(2) = SIN(X) |
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| 180 | WM1 = CMPLX( T(1),-T(2) ) |
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| 181 | WFN(1) = CMPLX( T(2), T(1) ) |
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| 182 | WFN(2) = RX * WFN(1) - WM1 |
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| 183 | IF ( IFLAG .EQ. 2 ) GO TO 560 |
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| 184 | N = 1 |
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| 185 | C |
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| 186 | C INITIALIZATION PROCEDURE FOR STRATIFIED SPHERE BEGINS HERE |
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| 187 | C |
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| 188 | SINX1 = SIN( X1 ) |
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| 189 | SINX4 = SIN( X4 ) |
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| 190 | COSX1 = COS( X1 ) |
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| 191 | COSX4 = COS( X4 ) |
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| 192 | EY1 = EXP( Y1 ) |
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| 193 | E2Y1 = EY1 * EY1 |
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| 194 | EY4 = EXP( Y4 ) |
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| 195 | EY1MY4 = EXP( Y1 - Y4 ) |
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| 196 | EY1PY4 = EY1 * EY4 |
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| 197 | EY1MY4 = EXP( Y1 - Y4 ) |
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| 198 | AA = SINX4 * ( EY1PY4 + EY1MY4 ) |
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| 199 | BB = COSX4 * ( EY1PY4 - EY1MY4 ) |
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| 200 | CC = SINX1 * ( E2Y1 + 1.0 ) |
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| 201 | DD = COSX1 * ( E2Y1 - 1.0 ) |
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| 202 | DENOM = 1.0 + E2Y1 * ( 4.0 * SINX1 * SINX1 - 2.0 + E2Y1 ) |
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| 203 | REALP = ( AA * CC + BB * DD ) / DENOM |
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| 204 | AMAGP = ( BB * CC - AA * DD ) / DENOM |
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| 205 | DUMMY = CMPLX( REALP, AMAGP ) |
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| 206 | AA = SINX4 * SINX4 - 0.5 |
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| 207 | BB = COSX4 * SINX4 |
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| 208 | P24H24 = 0.5 + CMPLX( AA,BB ) * EY4 * EY4 |
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| 209 | AA = SINX1 * SINX4 - COSX1 * COSX4 |
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| 210 | BB = SINX1 * COSX4 + COSX1 * SINX4 |
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| 211 | CC = SINX1 * SINX4 + COSX1 * COSX4 |
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| 212 | DD = -SINX1 * COSX4 + COSX1 * SINX4 |
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| 213 | P24H21 = 0.5 * CMPLX( AA,BB ) * EY1 * EY4 + |
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| 214 | 2 0.5 * CMPLX( CC,DD ) * EY1MY4 |
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| 215 | DH4 = Z(4) / ( 1.0 + ( 0.0,1.0 ) * Z(4) ) - 1.0 / Z(4) |
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| 216 | DH1 = Z(1) / ( 1.0 + ( 0.0,1.0 ) * Z(1) ) - 1.0 / Z(1) |
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| 217 | DH2 = Z(2) / ( 1.0 + ( 0.0,1.0 ) * Z(2) ) - 1.0 / Z(2) |
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| 218 | PSTORE = ( DH4 + N / Z(4) ) * ( W(3,N) + N / Z(4) ) |
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| 219 | P24H24 = P24H24 / PSTORE |
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| 220 | HSTORE = ( DH1 + N / Z(1) ) * ( W(3,N) + N / Z(4) ) |
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| 221 | P24H21 = P24H21 / HSTORE |
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| 222 | PSTORE = ( ACAP(N) + N / Z(1) ) / ( W(3,N) + N / Z(4) ) |
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| 223 | DUMMY = DUMMY * PSTORE |
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| 224 | DUMSQ = DUMMY * DUMMY |
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| 225 | C |
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| 226 | C NOTE: THE DEFINITIONS OF U(I) IN THIS PROGRAM ARE NOT THE SAME AS |
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| 227 | C |
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| 228 | C USUB1 = U(1) USUB2 = U(5) |
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| 229 | C USUB3 = U(7) USUB4 = DUMSQ |
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| 230 | C USUB5 = U(2) USUB6 = U(3) |
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| 231 | C USUB7 = U(6) USUB8 = U(4) |
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| 232 | C RATIO OF SPHERICAL BESSEL FTN TO SPHERICAL HENKAL FTN = U(8) |
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| 233 | C |
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| 234 | U(1) = K3 * ACAP(N) - K2 * W(1,N) |
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| 235 | U(2) = K3 * ACAP(N) - K2 * DH2 |
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| 236 | U(3) = K2 * ACAP(N) - K3 * W(1,N) |
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| 237 | U(4) = K2 * ACAP(N) - K3 * DH2 |
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| 238 | U(5) = K1 * W(3,N) - K2 * W(2,N) |
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| 239 | U(6) = K2 * W(3,N) - K1 * W(2,N) |
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| 240 | U(7) = ( 0.0,-1.0 ) * ( DUMMY * P24H21 - P24H24 ) |
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| 241 | U(8) = TA(3) / WFN(2) |
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| 242 | C |
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| 243 | FNA = U(8) * ( U(1)*U(5)*U(7) + K1*U(1) - DUMSQ*K3*U(5) ) / |
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| 244 | 2 ( U(2)*U(5)*U(7) + K1*U(2) - DUMSQ*K3*U(5) ) |
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| 245 | FNB = U(8) * ( U(3)*U(6)*U(7) + K2*U(3) - DUMSQ*K2*U(6) ) / |
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| 246 | 2 ( U(4)*U(6)*U(7) + K2*U(4) - DUMSQ*K2*U(6) ) |
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| 247 | GO TO 561 |
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| 248 | 560 TC1 = ACAP(1) * RRF + RX |
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| 249 | TC2 = ACAP(1) * RF + RX |
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| 250 | FNA = ( TC1 * TA(3) - TA(1) ) / ( TC1 * WFN(2) - WFN(1) ) |
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| 251 | FNB = ( TC2 * TA(3) - TA(1) ) / ( TC2 * WFN(2) - WFN(1) ) |
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| 252 | 561 CONTINUE |
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| 253 | FNAP = FNA |
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| 254 | FNBP = FNB |
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| 255 | T(1) = 1.50 |
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| 256 | C |
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| 257 | C FROM HERE TO THE STATMENT NUMBER 90, ELTRMX(I,J,K) HAS |
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| 258 | C FOLLOWING MEANING: |
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| 259 | C ELTRMX(1,J,K): REAL PART OF THE FIRST COMPLEX AMPLITUDE. |
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| 260 | C ELTRMX(2,J,K): IMAGINARY PART OF THE FIRST COMPLEX AMPLITUDE. |
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| 261 | C ELTRMX(3,J,K): REAL PART OF THE SECOND COMPLEX AMPLITUDE. |
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| 262 | C ELTRMX(4,J,K): IMAGINARY PART OF THE SECOND COMPLEX AMPLITUDE. |
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| 263 | C K = 1 : FOR THETD(J) AND K = 2 : FOR 180.0 - THETD(J) |
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| 264 | C DEFINITION OF THE COMPLEX AMPLITUDE: VAN DE HULST,P.125. |
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| 265 | TB(1) = T(1) * TB(1) |
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| 266 | TB(2) = T(1) * TB(2) |
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| 267 | TC(1) = T(1) * TC(1) |
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| 268 | TC(2) = T(1) * TC(2) |
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| 269 | DO 60 J = 1,JX |
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| 270 | ELTRMX(1,J,1) = TB(1) * PI(2,J) + TC(1) * TAU(2,J) |
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| 271 | ELTRMX(2,J,1) = TB(2) * PI(2,J) + TC(2) * TAU(2,J) |
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| 272 | ELTRMX(3,J,1) = TC(1) * PI(2,J) + TB(1) * TAU(2,J) |
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| 273 | ELTRMX(4,J,1) = TC(2) * PI(2,J) + TB(2) * TAU(2,J) |
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| 274 | ELTRMX(1,J,2) = TB(1) * PI(2,J) - TC(1) * TAU(2,J) |
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| 275 | ELTRMX(2,J,2) = TB(2) * PI(2,J) - TC(2) * TAU(2,J) |
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| 276 | ELTRMX(3,J,2) = TC(1) * PI(2,J) - TB(1) * TAU(2,J) |
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| 277 | ELTRMX(4,J,2) = TC(2) * PI(2,J) - TB(2) * TAU(2,J) |
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| 278 | 60 CONTINUE |
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| 279 | C |
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| 280 | QEXT = 2.0 * ( TB(1) + TC(1)) |
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| 281 | QSCAT = ( TB(1)**2 + TB(2)**2 + TC(1)**2 + TC(2)**2 ) / 0.75 |
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| 282 | CTBRQS = 0.0 |
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| 283 | N = 2 |
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| 284 | 65 T(1) = 2*N - 1 |
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| 285 | T(2) = N - 1 |
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| 286 | T(3) = 2*N + 1 |
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| 287 | DO 70 J = 1,JX |
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| 288 | PI(3,J) = ( T(1) * PI(2,J) * CSTHT(J) - N * PI(1,J) ) / T(2) |
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| 289 | TAU(3,J) = CSTHT(J) * ( PI(3,J) - PI(1,J) ) - |
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| 290 | 1 T(1) * SI2THT(J) * PI(2,J) + TAU(1,J) |
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| 291 | 70 CONTINUE |
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| 292 | C |
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| 293 | C HERE SET UP HOMOGENEOUS SPHERE |
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| 294 | WM1 = WFN(1) |
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| 295 | WFN(1) = WFN(2) |
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| 296 | WFN(2) = T(1) * RX * WFN(1) - WM1 |
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| 297 | IF ( IFLAG .EQ. 2 ) GO TO 1000 |
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| 298 | C |
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| 299 | C HERE SET UP STRATIFIED SPHERE |
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| 300 | C |
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| 301 | DH2 = - N / Z(2) + 1.0 / ( N / Z(2) - DH2 ) |
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| 302 | DH4 = - N / Z(4) + 1.0 / ( N / Z(4) - DH4 ) |
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| 303 | DH1 = - N / Z(1) + 1.0 / ( N / Z(1) - DH1 ) |
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| 304 | PSTORE = ( DH4 + N / Z(4) ) * ( W(3,N) + N / Z(4) ) |
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| 305 | P24H24 = P24H24 / PSTORE |
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| 306 | HSTORE = ( DH1 + N / Z(1) ) * ( W(3,N) + N / Z(4) ) |
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| 307 | P24H21 = P24H21 / HSTORE |
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| 308 | PSTORE = ( ACAP(N) + N / Z(1) ) / ( W(3,N) + N / Z(4) ) |
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| 309 | DUMMY = DUMMY * PSTORE |
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| 310 | DUMSQ = DUMMY * DUMMY |
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| 311 | C |
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| 312 | U(1) = K3 * ACAP(N) - K2 * W(1,N) |
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| 313 | U(2) = K3 * ACAP(N) - K2 * DH2 |
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| 314 | U(3) = K2 * ACAP(N) - K3 * W(1,N) |
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| 315 | U(4) = K2 * ACAP(N) - K3 * DH2 |
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| 316 | U(5) = K1 * W(3,N) - K2 * W(2,N) |
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| 317 | U(6) = K2 * W(3,N) - K1 * W(2,N) |
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| 318 | U(7) = ( 0.0,-1.0 ) * ( DUMMY * P24H21 - P24H24 ) |
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| 319 | U(8) = TA(3) / WFN(2) |
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| 320 | C |
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| 321 | FNA = U(8) * ( U(1)*U(5)*U(7) + K1*U(1) - DUMSQ*K3*U(5) ) / |
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| 322 | 2 ( U(2)*U(5)*U(7) + K1*U(2) - DUMSQ*K3*U(5) ) |
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| 323 | FNB = U(8) * ( U(3)*U(6)*U(7) + K2*U(3) - DUMSQ*K2*U(6) ) / |
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| 324 | 2 ( U(4)*U(6)*U(7) + K2*U(4) - DUMSQ*K2*U(6) ) |
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| 325 | C |
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| 326 | 1000 CONTINUE |
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| 327 | TC1 = ACAP(N) * RRF + N * RX |
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| 328 | TC2 = ACAP(N) * RF + N * RX |
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| 329 | FN1 = ( TC1 * TA(3) - TA(1) ) / ( TC1 * WFN(2) - WFN(1) ) |
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| 330 | FN2 = ( TC2 * TA(3) - TA(1) ) / ( TC2 * WFN(2) - WFN(1) ) |
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| 331 | M = WVNO * R |
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| 332 | IF ( N .LT. M ) GO TO 1002 |
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| 333 | IF ( IFLAG .EQ. 2 ) GO TO 1001 |
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| 334 | C!!!!!!!!!!!! WARNING MODIF PERSO |
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| 335 | C IF ( ABS( ( FN1-FNA ) / FN1 ) .LT. 1.0E-09 .AND. |
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| 336 | C 1 ABS( ( FN2-FNB ) / FN2 ) .LT . 1.0E-09 ) IFLAG = 2 |
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| 337 | |
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| 338 | IF ( ABS( ( FN1-FNA ) / FN1 ) .LT. 1.0E-4 .AND. |
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| 339 | 1 ABS( ( FN2-FNB ) / FN2 ) .LT . 1.0E-4 ) IFLAG = 2 |
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| 340 | IF ( IFLAG .EQ. 1 ) GO TO 1002 |
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| 341 | 1001 FNA = FN1 |
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| 342 | FNB = FN2 |
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| 343 | 1002 CONTINUE |
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| 344 | T(5) = N |
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| 345 | T(4) = T(1) / ( T(5) * T(2) ) |
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| 346 | T(2) = ( T(2) * ( T(5) + 1.0 ) ) / T(5) |
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| 347 | C |
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| 348 | CTBRQS = CTBRQS + T(2) * ( TD(1) * TB(1) + TD(2) * TB(2) + |
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| 349 | 1 TE(1) * TC(1) + TE(2) * TC(2) ) |
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| 350 | 2 + T(4) * ( TD(1) * TE(1) + TD(2) * TE(2) ) |
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| 351 | QEXT = QEXT + T(3) * ( TB(1) + TC(1) ) |
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| 352 | T(4) = TB(1)**2 + TB(2)**2 + TC(1)**2 + TC(2)**2 |
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| 353 | QSCAT = QSCAT + T(3) * T(4) |
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| 354 | T(2) = N * (N+1) |
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| 355 | T(1) = T(3) / T(2) |
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| 356 | K = (N/2)*2 |
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| 357 | DO 80 J = 1,JX |
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| 358 | ELTRMX(1,J,1) = ELTRMX(1,J,1)+T(1)*(TB(1)*PI(3,J)+TC(1)*TAU(3,J)) |
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| 359 | ELTRMX(2,J,1) = ELTRMX(2,J,1)+T(1)*(TB(2)*PI(3,J)+TC(2)*TAU(3,J)) |
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| 360 | ELTRMX(3,J,1) = ELTRMX(3,J,1)+T(1)*(TC(1)*PI(3,J)+TB(1)*TAU(3,J)) |
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| 361 | ELTRMX(4,J,1) = ELTRMX(4,J,1)+T(1)*(TC(2)*PI(3,J)+TB(2)*TAU(3,J)) |
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| 362 | IF ( K .EQ. N ) GO TO 75 |
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| 363 | ELTRMX(1,J,2) = ELTRMX(1,J,2)+T(1)*(TB(1)*PI(3,J)-TC(1)*TAU(3,J)) |
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| 364 | ELTRMX(2,J,2) = ELTRMX(2,J,2)+T(1)*(TB(2)*PI(3,J)-TC(2)*TAU(3,J)) |
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| 365 | ELTRMX(3,J,2) = ELTRMX(3,J,2)+T(1)*(TC(1)*PI(3,J)-TB(1)*TAU(3,J)) |
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| 366 | ELTRMX(4,J,2) = ELTRMX(4,J,2)+T(1)*(TC(2)*PI(3,J)-TB(2)*TAU(3,J)) |
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| 367 | GO TO 80 |
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| 368 | 75 ELTRMX(1,J,2) =ELTRMX(1,J,2)+T(1)*(-TB(1)*PI(3,J)+TC(1)*TAU(3,J)) |
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| 369 | ELTRMX(2,J,2) =ELTRMX(2,J,2)+T(1)*(-TB(2)*PI(3,J)+TC(2)*TAU(3,J)) |
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| 370 | ELTRMX(3,J,2) =ELTRMX(3,J,2)+T(1)*(-TC(1)*PI(3,J)+TB(1)*TAU(3,J)) |
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| 371 | ELTRMX(4,J,2) =ELTRMX(4,J,2)+T(1)*(-TC(2)*PI(3,J)+TB(2)*TAU(3,J)) |
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| 372 | 80 CONTINUE |
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| 373 | C |
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| 374 | C!!!!!!!!!!!! WARNING MODIF PERSO |
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| 375 | C IF ( T(4) .LT. 1.0E-14 ) GO TO 100 |
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| 376 | IF ( T(4) .LT. 1.0E-4 ) GO TO 100 |
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| 377 | N = N + 1 |
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| 378 | DO 90 J = 1,JX |
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| 379 | PI(1,J) = PI(2,J) |
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| 380 | PI(2,J) = PI(3,J) |
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| 381 | TAU(1,J) = TAU(2,J) |
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| 382 | TAU(2,J) = TAU(3,J) |
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| 383 | 90 CONTINUE |
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| 384 | FNAP = FNA |
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| 385 | FNBP = FNB |
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| 386 | c print*,'NMX2 =',nmx2 |
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| 387 | IF ( N .LE. NMX2 ) GO TO 65 |
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| 388 | WRITE( 6,8 ) |
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| 389 | STOP 36 |
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| 390 | 100 DO 120 J = 1,JX |
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| 391 | DO 120 K = 1,2 |
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| 392 | DO 115 I= 1,4 |
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| 393 | T(I) = ELTRMX(I,J,K) |
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| 394 | 115 CONTINUE |
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| 395 | ELTRMX(2,J,K) = T(1)**2 + T(2)**2 |
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| 396 | ELTRMX(1,J,K) = T(3)**2 + T(4)**2 |
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| 397 | ELTRMX(3,J,K) = T(1) * T(3) + T(2) * T(4) |
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| 398 | ELTRMX(4,J,K) = T(2) * T(3) - T(4) * T(1) |
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| 399 | 120 CONTINUE |
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| 400 | T(1) = 2.0 * RX**2 |
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| 401 | QEXT = QEXT * T(1) |
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| 402 | QSCAT = QSCAT * T(1) |
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| 403 | CTBRQS = 2.0 * CTBRQS * T(1) |
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| 404 | C |
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| 405 | c print*,'NMX1= ',nmx1,' LL=',ll |
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| 406 | c print*,'fin dmiess ',second(0.) |
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| 407 | RETURN |
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| 408 | C |
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| 409 | 5 FORMAT( 10X,' THE VALUE OF THE SCATTERING ANGLE IS GREATER THAN |
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| 410 | 1 90.0 DEGREES. IT IS ', E15.4 ) |
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| 411 | 6 FORMAT( // 10X, 'PLEASE READ COMMENTS.' // ) |
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| 412 | 7 FORMAT( // 10X, 'THE VALUE OF THE ARGUMENT JX IS GREATER THAN IT') |
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| 413 | 8 FORMAT( // 10X, 'THE UPPER LIMIT FOR ACAP IS NOT ENOUGH. SUGGEST |
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| 414 | 1 GET DETAILED OUTPUT AND MODIFY SUBROUTINE' // ) |
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| 415 | C |
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| 416 | END |
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