Beam field transmission through an arbitrarily curved radome

Abstract

Based on complex ray tracing ( C l W ) unci pnraxial approx i m a t i o n (CHPA),the wave f i u l d s of u (;*auucian-like beam covered by a n u r b i t r u r i l y c u r v e d rildorne a r e a n t i l y x o d . Formulas and numerical r e s u l t s shaw thilt C1IPA i G ti Usef u l method for f i e l d c a l c u l a t i o n u n d e r c o m p l i c t l t u d environments. THEORETICAL ANALYSIS The s u r f a c e o f a s i n g l e -l a y e r e d 2-D a r b i t r a r i l y c u r v e d radome may be d e s c r i b e d by t h e f u n c t i o n Fi(X,Y)=O, x i 1 s X s X i 2 (i=1,2)r ( 1 ) A z -p o l a r i z e d beam s o u r c e a n d o b G e r v a t i o n p o i n t s are l o c a t e d a t S(xs,ys) a n d P(x,y),respectively,inside and o u t s i d e t h e r a d o m e ( F i g . 1 1. A c c o r d i n g t o c o m p l e x r a y t h e o r y , t h e beam s o u r c e may be c o n s i d e r e d as a complex source point und the wave f i e l d a t t h e obtierver P , t a k i n g m u l t i p l y i r l t e r n a l r e f l e c t i o n i n t o a c c o u n t , 1 s g i v e n by C R T~ 1 Iv uq01 M=O u= z uw . w ( 2 ) where Fy r e p r e s e n t s the i n d i v i d u a l cornplex r a y f i e l d h with M d e n o t i n g t h e number of i n t e r n a l r e f l e c t i o n a n d 'PM,cM and yM d e n o t i n g t h e t o t a l r e f l e c t i o n -t r a n s m i s s i o n h