Current distributions on electrically thick tubular antennas

Abstract

r i v a t e Bag, Auckland New Zealand.This work follows from [ l ] where s i n g u l a r i n t e g r a l e q u a t i o n theory has been used to obtain leading terms of t h e t o t a l c u r r e n t d i s t r i b u t i o n on thick tubular antennas. Two forms of t h e i n t e g r a l e q u a t i o n f o r t h e c u r r e n t on a perfectly conducting tubular transmitting antenna, a s shown i n F i g u r e 1, have been i n v e s t i g a t e d , namely,0 where the s o u r c e f u n c t i o n f o r d e l t a -f u n c t i o n e x c i t a t i o n w i t h n o r o t a t i o n a l v a r i a t i o n i s To s o l v e (1) and (2), the logarithmic term i n b o t h t h e k e r n e l and the source function i s i s o l a t e d and t h e n o n s i n g u l a r p a r t s approximated by f i n i t e Chebyshev expansions. I n t h e c a s e of (11, t h e v a r i a b l e r t $ ( t > = dl(t) d t + H2 lo I ( t o ) d t o is introduced and the equation i s c a s t i n t o a s i n g u l a r i n t e g r a l 156