-w 

 - — dw 



= M^J- 



then the integral over F = Re vanishes as R ->■ °°, and Equation (A. 6) becomes 

 °° 1 , ., iK(y-iz) 



k-K 



/ 



= ^iK(y-iz) E^(K,+iKy) (A. 7) 



For the second term of Equation (A.l), we apply the following transformation of the 

 variable 



w = i(k-K) (y+iz) (A. 8) 



and 



dk = ., ^^ , (A. 9) 



i(y+iz) 



With the same procedure for derivation of Equations (A. 5) and (A. 7), the second term 

 of Equation (A.l) is given as 



kz-iky K -•]<■ 



dk = e '^ E^(Kz-iKy) for y > (A. 10) 



k-K 



= e^^ ^^^ [2TTi+E^(Kz-iKy)] for y < (A. 11) 



By substitution of Equations (A. 5), (A. 7), (A. 10), and (A. 11) into Equation (A.l), 

 G^jj is given by 



51 



