n'' = :^ X 



ASYMPTOTIC DIPOLE RADIATION FORMULAS 



663 



-\- k X 2 cos (p 



f 



Jo 



r 



Jo 



k2^ - k,^ 



(/ -i-m){k2H + kM) 



Ji(Tp)e-^h^dT. (1) 



}ikiRi pikiRi 



„ , „ IIx* is the wave potential of a • dipole placed 



parallel to a perfectly conducting plane, k^ infinite. So, writing 



Fig. 1 

 Y^h = n^« + n^ and correspondingly E^ = E'^ + E^ 



£/ = -iJ n/ + ^r^-f (I- n/ + A n/ + 1- n/ ) 



L OS \ 5x dy dz I 



= — io)2 cos v? ri I /i(tp) , , _ ( ■ ^ ;, , — j^j^ — / ) T-dr 



I -{- m\ k^H + k{-m 



f 



Jo 



= — iccil cos ^ I /i(rp)g~"'' , .,. , , „ ^r, 

 Jo ^2-/ + ^i-w 



ki dxj^ \k2~l + ki-m I 



— to: 



where 



1 d^ 

 ki dxdw 



V - 2 



'rT 



Jo k-d + ki-m 



(2) 

 (3) 



