RADIATION CHARACTERISTICS OF AN ANTENNA. 



215 



t,,}, — ti-^ = sin — I sin (r + ii cos \l/ — s cos \p) sin s as 



TqC Vq Jb 



2 / sin ^ . Az 

 sin — 



sin (t -\- B cos i/') 



r^^^^ 



5 cos ^) sin s ds 



C" ■ ■ ' 



— cos (r + 5 cos i/') I sin (s cos i/') sin s ds 



tJ B 



(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 



2 I . Az { 



E^ = Hs = -. — r sin — \ sin (r + 5 cos \1/) — cos s cos (s cos lA) 



roc sm i/' /-Q ( [_ ^ 



— cos yp sin 5 sin {s cos i/') 



cos {t -\- B cos \i') 



cos i/' sin s cos (■? cos yp) 



21 . Az 

 sin 



TqC sin \{/ ro 



— cos s sin (5 cos 1/') 



sin {t -^ B cos i/-) -) — 1 + cos B cos 



5 (cos \p) 



+ cos 1^ sin B sin (fi cos 1/') ,- 

 + cos (r + i^ cos \p) \ cos 1/' sin B cos (B cos i/') 



2/ . ^2 



sin 



roC sin \{/ Tq 



— cos fi sin {B cos 1/') 

 sin T •, cos 5 — cos {B cos ^) [ 



+ cos T ■< cos ^ sin fi — sin (B cos \p) ,- • (55) 



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

 flatntop at any distant point whose coordinates are 



ro = distance of the point from the origin, 

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

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

 flat-top. 



