7T/2 

 (1) _ i f jQ f K exp(-vx) sec 9 dv 



2tt J J 



"^ "^ J J 1/2 1/2 ^ 



o o iv sec e+[(K)^^-i(m) ' v] 



tt/2 °° 



i f /If) ( K exp(-vx) sec 6 dv 



2^^ J •' • fi rrv^l/2 w n1/2 t^ 



o o XV sec 6-[(K) -i(iii) v] 



K 



r -vx r d9 = ^ r. 



J ^ ^ Jo 1/0 1/0 ^ o 2^ J 



'^ 2^r/v^l/2 .. n1/2 / 2 . 2^ J 2^r/v^l/2 •/ n1/2 //^^ 



o V +[(K) -i(m) v] cos 6 o Iv +[(K) -i(m) v] i 



The denominator can be written as 



4 

 v^ + [(K)-'-^^-i(m)"'"^^v] = m^ - i m^ (D.IO) 



where 



2 2 2 



iHj^ = (K-mv ) - (4inK-l) v 



m^ = 4(niK)^'^ v (K-mv^) 



The last integral becomes 



dv = ^ 1 ^,, e-^^ dv (D.ll) 



■^ o 



2^ J . . .1/2 2tt J o o 1/2 

 (m^-un ) , 2 2, 



o 1 2 o (m^+m ) 



With the change of the variables 



64 



