Murthy 



\f~ \Tz ±V g " 4<rV cose 



*Pl f = -2 — when 7 4 6< tt/2 



f— [ 2V cos^ 



^2 



\/~~ + \TS-Jg - 4 <r V cose 



\Pl ( + V J( when tt/2<0<*- 



2V cose 



and M. and M_ are the contours of integration in the complex 

 p -plane 



\y p 2 



P l P 2 



•Mi 



1 ^ y^j "2 



(V.21) 



In the case of the steady potentials $1000 and ^0100 we ma y use 

 the steady Green's function G obtained by setting a - above, 

 i. e. 



, 1/2 

 G(x, y, z; , r, , f ) = I (x - $ )* + (y - *l )" + (z - f )*" 



r(x-u 2 + (y-^) 2 + ( z - n 2 J 

 -[(x-n 2 + (y -r,) 2 + ( Z + n 2 J 



# 



-1/2 



V2 



/V- -p(z+f) + ip(x-S) cos0 , » . . 



4g // e cosp (y- t?) sing 



-Z5- Re ./p 2 2 "' *P" 



g - pV cos 6 



oM 



where M is now the contour of integration 



| l • 1 »-M 



, , (V. 22) 



p = g/V 2 cos 2 



244 



