RADIATION CHARACTERISTICS OF AN ANTENNA. 



223 



Note that 



and 



v;- 



n 



Vt 



m 



n^H-i 



w+3 



= 2 



2-4-6---W - 2 

 1-3-5* • -w — 1 



= 2 



2-4-6---W 

 l-3-5---n+ 1 



(74) 



(75) 



Putting these values in equation (71) we obtain 





-^ + 



sln'B 



n!\_ n ' 2 (w + 1) 



+ cos jB 



Ml 



B2 



n 



+ 



B^ 



2(w+ 1) ' 2!22(w+ l)(n+3) 

 B^ 1 



+ J5 sin 5 



1 



3!23(w+ l)(w + 3)(w+5) 



^2 1 



+ 



n I w + 1 2 (w + 1) (n + 3) 



R4 1 



2^2 (n + 1) (w + 3) (n + 5) 

 1 



B^ 



2'3 (n + 1) (n + 3) (n + 5) (w + 7) 



+ ■ 



where 



n = 2, 4, 6, . 



(76) 



Equation (76) may be further improved for purposes of calculation 

 by expanding the trigonometric functions in power series and col- 

 lecting the terms. For this purpose 



2«58 



+ ■ 



■. (77) 



