RADIATION CHARACTERISTICS OF AN ANTENNA. 



215 



E^ = H-^ = ^^^-^ sin '^-^ I sin (r -\- B cos \J/ — s cos i/') sin s ds 



2lsm\f/ . Az C ■ 

 "" Jb '' 



sin {t -{- B cos i/') I cos (s cos t^) sin s ds 

 Jb 



2/sini/' . Az 

 sin — 



roC To 



£■■ 



— cos {t -\- B cos \{/) j sin {s cos i/-) sin 5 ds 



(54) 



The expressions of this equation may be integrated by the use of 

 formulas 360 and 359 of B. O. Peirce's Tables and give 



Ej, = Hs = ; — r sin — -, sin (t -\- B cos \p) 



rocsmi^ To ( 



— cos s cos (s cos Xp) 



— cos \p sin s sin (s cos 1/') 



— cos (t -{- B cos 1/') 



cos \p sin 5 cos (5 cos \p) 



21 . Az 

 sin 



TqC sin i/' ro 



— cos s sin (5 cos i/') 



i 



sin (r + £ cos i^) -, — 1 + cos 5 cos 



I 5 (cos )/') 

 + COS 1/' sin J5 sin {B cos 1/') ,- 

 + cos {t -{- B cos i/-) ■ cos \j/ sin -B cos {B cos i/') 



— cos B sin (fi cos 1/') 



2/ . ^2 



sm 



. , „.„ sin r \ cos B — cos (5 cos \1/) r 



rocsmxl/ '•o L ( ) 



+ cos r < cos \p sinB — sin (fi cos i/') ,- 



^ 



u 



(55) 



Equation (55) gives the electric and magnetic intejisities due to the 

 flat-top at any distant point whose coordhiates are 



To = distance of the point from the origin, 

 z = vertical height of the point above the earth's surface, 

 4' = angle between ro and the .r-axis; this .r-axis being parallel to the 

 flat-top. 



