Stark Broadening in Laser-Produced Plasmas: Full Coulomb Calculation
Stark Broadening in Laser-Produced Plasmas: Full Coulomb Calculation
Woltz, Lawrence A.
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(2.1.8) that A (x) will be multiplied by a 3-j 1*2 3 symbol containing I , A , and A , so A ,A , and A must satisfy the triangle inequality, | JL — J2. | 0 , (C6) j=o J - and /" dx x" e r = m! e" X £ fr , m>0 , (C7) j=o J - to write Eq. (C4) as n-A -1 n-A -1 A A JLA (X) = ^ * C k k 1*2 3 kj-0 k 2 =0 12 A ,0 ; _ (k +k +A +A +A.+2) j x I— nr ( WWV 2), ( l " a A fr 3 j=0 J x J A (k +k +A +A -A +1) j + x J (k +k +A +A -A +1)! e X J 1 Z X Z J ~ ^ J j=0 J ' V° , . t „ xi -x ( ^l +k 2 + W 2) x^ (k^k^+...A^)! e x l L L l L *y ] . (C8) j=0 J • This equation is used in the numerical calculation of A (x) . X l*2 3 APPENDIX D NUMERICAL METHODS To obtain numerical results for the line profiles, we calculate M (Aw) and MfAw) numerically, then use these results in a line shape program by Tighe (1977) .
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