42 



and 



BELL SYSTEM TECHNICAL JOURNAL 



Ez — — fxiw 



= — to: 





Qo, 



1 4-1/ A I Ij^A^'' 



<3o 



at a great distance near the interface; that is to say, retaining only 

 the leading terms in cjrz and 1/^2'. 



OBSERVER 



DIPOLE 



Fig. 2 



The complete calculation of Ep and E^ is too long to be included. 

 If o = so that r = r2 



Eo = — too- 



-ikro f 



- cVl - 



^2 I 



c2(l + goiW) 



vr 



ikr2 



[(1 - 2c2)goi'(r) 



vr^ 



- 3c(l + goiW) + cgo2(c)] - '^^.^^^^, [- (2 - 5c2)goi'(c) 

 -c(l - c2)goi"(c) + (1 - 2c')go2'{c) + 3c(l + gox{c)) 



- 5cgo2(c) + cgo3(c)] + • • • I , 



£, = - ic'-^ I (1 - C2)(l + g0l(6-)) - ^[(1 - ^')^02(0 



- (1 - 3c2)(l + goi(c)) - 2c(l - c2)goi'(c)] 

 [- (1 - 5c2)go2(c) + (1 - c2)go3(c) - (1 - c2)2goi"(c) 



(iknf 



+ (1 - 3c2)(l + goiW) + c(l - c2)(5goi'(c) - 2go2'(c))] + • • • I 



