Wave Propagation over Parallel Wires. 627 



J„ [hi s/i) = u n + iv n . 



= Bessel function of order n and argument bis/ i. 

 R = resistance of wire per unit length. 

 R = i-> » ?, , ? toitfA concentric 



return. 

 C = Proximity Effect Correction Factor 



R = CR (I.) 



The auxiliary functions involved are : 



K °~a V ^~uj+v^~> W 



9 ~ b v+V »-.-•• w 



U n Vn U n V n /0 . 



w » = „ 2 4 ,i » ( 3 ) 



,-2 ^^^ (4) 



5 (:>£) 2 W 



The formula for the correction factor C is then 



c = 1+ l \/i (Sl - 2 ^ S2) ' • • (IL) 



where 



Si = i w n k 2n s 2n , (5) 



n=l 



S 2 = 5n^ 2 V+ 1 (6) 



tt=L 



For values of the argument Z>>5, 



C = l + 2(v / 2-l/6)(s 1 - 2 -^~ 2 PS 2 ). . . (III.) 



For larger values of the argument b, the correction 

 factor C approaches an upper limit 



= 1 — Ps 2 (-'-*•) 



in accordance with the asymptotic formula 



C~ 0.(1 -A/6), (V.) 



where 



