C C PURPOSE: CALCULATES THE S-FRAME IRRED. TENSOR COMPONENTS OF AVG RADN FIELD C C THIS SUBROUTINE CALCULATES THE IRREDUCIBLE TENSOR COMPONENTS C OF THE AVERAGE RADIATION FIELD FROM THE PHOTOSPHERE IN THE C S FRAME, GIVEN THE LIMB-DARKENING FUNCTION, AND ASSUMING C CYLINDRICAL SYMMETRY OF THE RADIATION FIELD. C C H IS THE HEIGHT OF THE OBSERVED POINT OVER THE LIMB, EXPRESSED C IN SOLAR RADII C C INPUTS: C KR INDEX OF THE TRANSITION C (FLIMB EXTERNAL FUNCTION THAT HAS TO BE DEFINED) C C OUTPUTS: C RJ0 K=0 TENSOR COMPONENT OF THE RADIATION FIELD C RJ1 K=1 TENSOR COMPONENT OF THE RADIATION FIELD C (THIS IS ZERO IN CYLINDRICAL SYMMETRY) C RJ2 K=2 TENSOR COMPONENT OF THE RADIATION FIELD C SEE EQUATIONS 22 AND 23 OF C CASINI, R. & JUDGE, P. G., 1999. AP J 522, 524-539 C C COMMON: C CORON C COMMENTS: OCTOBER 6, 1999, P. JUDGE C SUBROUTINE FIELD_INT(KR,RJ0,RJ1,RJ2) C C INCLUDE 'PREC' INCLUDE 'PARAM' INCLUDE 'CATOM' INCLUDE 'CORON' INCLUDE 'CCONST' INCLUDE 'CINTS' C SM=ONE/(H+ONE) SM2=SM*SM CM2=ONE-SM2 CM=SQRT(CM2) C RLN=ZERO IF (CM2.NE.ZERO) RLN=LOG((ONE+SM)/CM) C A1=ONE-CM A2=.5*(ONE-RLN*CM2/SM)-A1 A3=(CM*(THREE-CM2)-TWO)/(THREE*SM2) C B1=CM*SM2 B2=.125*(THREE*SM2+RLN*CM2*(THREE*SM2+ONE)/SM-ONE)-B1 B3=((CM2*(20.-9.*CM2)-15.)*CM+FOUR)/(15.*SM2) C WL=ALAMB(KR) WM=WL/1.E4 CALL UV(WM,U,V) XNU=1.E8*(TWO*PI)*(CC/WL) C C NOW ADD THE ABSOLUTE INTENSITY FACTOR PINT C XT IS DISK CENTER RADIATION TEMPERATURE FOR I (ALLEN 1973, SEC 80) C XT=6050. PINT=PLANCK(XNU,XT) C C PRINT *,'NO LIMB DARKENING' C U=ZERO C V=ZERO C RJ0=.5*(A1+A2*U+A3*V)*PINT RJ1=ZERO RJ2=.25*(B1+B2*U+B3*V)/SQRT(TWO)*PINT RETURN END