172 THE BELL SYSTEM TECHNICAL JOURNAL, JANUARY 1956 



These equations can now be used to compute the power flow as defined 

 by 



P = }4 Re j E XH' 

 which can be written in the form 



dA 



(30) 



r^;^(o)T 

 L ^'p J 



fo © ^^-' ''' 



(31) 



where 



[F{ya, yb)] = 



(( 



W + 



(i8oa cot i/' 

 {yar 



^ /n^) 



(In' - /oi/2i)(C.F.)- 



- A'02' + 



240 (C.F.)' 



(i8oa cot 1/^1)' 

 (t«)'^ 



/or/n- r 



(80a cot ;^iY 



' 



/Vl2" i^O - 



ya 



((Soft cot i^i)' cot \p2 

 (ya)'' cot i/'i 



Rx 



- ) (/02/22 — /12') 4" (/ii — /01/21) 



, /p (/3oa cot 1A1)- cot \i/2 p Wp (^0^ ^'0^' "^2)'' p 



(ya)'^ cot i/'i 



(7a)^ 



( - ) i'lInKu + /02/V22 + /22X02) — (2/iiKii + /01K21 + /21/voi) 



ot ^2)'^ p T 



(32) 



2 , (^ofl cot l/'i) J ■> 

 •'01 i- 7 r;; ^11 



(l3oa cot 



- I (K02K22 — K12 ) — (K01K21 — Kn) 



.a, 



+ 



(/3oa cot i^i)" A^ 



■ 2 , (/Soa cot i/'2)" J 2 J. 2 



(7a)'^ 



cot 1/^2 p J. 

 I 02itl — -— r- i 12A0 



cot 1^1 



[/Vo2A'22 — /V12"] 



In (32) we find the power in the transverse mode by using values of 



