RADIATION CHARACTERISTICS OF AN ANTENNA. 



207 



sin ^B /(sin '2A 

 2A 



- 1 = 



1 - cos 2B / sin 2A 

 4 \ 2A 



- 1 



^ j 1 _ cos (2G - 2A) \ / sin 2.4 _ 

 I 4 4 ( V 2.4 



_ 1 cos 2G cos 2^ sin 2G sin 2^ 



- ~4 + 4 + 4 



+ 



sin 2^ cos 2G sin 4^ 

 ~M^ l(i4 



sin 26' 1 — cos 4^1 

 ~^4 ^ 



(36) 



If now we expand in series the quantities involving A in (36) and sub- 

 stitute in (35), we obtain, if 



k = 2 A 

 q = 2G 



(37) 



P = 



2/2 



c 



{ 2-1? 

 cos^ ^ — (ct 



-ro) 



_4 i 3! "^ 5! 7! "^ 



+ 



+ 



+ 



cos 



ij 



2F 

 2!2 



2^ 2^ 

 4!4 "^ 6!6 



4 ^ 

 sin q j 

 ~4-| 



cos g 



~4^ 



1 _«f + *!_^ + 



2! 4! 6! 



k -~ 



^ P _ F 

 3! 5! 7! "^ 



1 - 



{2ky ^ {2ky ^ 



sin q j 2k 

 ^ I 2[ 



_ cosgj (2^ 

 4 I 2!2 



3! 



(2^3 



4! "^ 



(2^0^ 



+ 



5! 



C2kf 

 6! 



(2kf 



+ 

 + 



cos g 

 2 



sin g 



4 



■ sin g 



2!2 



2A; - 



k - 



(38) 



