272 Dr. J. W. Nicholson on the 



where 



and 



C 1 =-2iK lW2 Co (93) 



If the next wave meets the second wire in the form 



H = D J (fy>) + 2* D s J s (fy) cos s<j>, . . (94) 



then in a similar manner, 



a 2 

 A) = — PiC — \i -$ pip2( — Co) 



/ b 2 \ a 2 b 2 



= P1P2 ( K — B^!^ j + 2X 1 p 1 p 2 C - 2 -PlPiGqj 



D 2 = 2cK lPl 2 p 2 C (95) 



The leading coefficient in the potential next meeting the 

 first wire is 



E = PiV^oKo-B^) +ikwfCo -2ftV*A jl. (96) 



and so on, the mode of formation being now obvious. 



The potentials containing the coefficients A , O , E , G . . . 

 contribute to the current in the first wire, and those with d , 

 B , D , ... to that in the second. 



Now ' 



A + C + E + . . . = (CoKo-B/z^) <l+ W «+PiV+ • • •) 

 + (Vs - 2 —PiPi j 2 ) C (1 + 2 Pl p 2 + 3 Pl 2 p 2 2 +■...) 

 = (/ 02 BE -B^5)/(l-^ 2 ) 



+ P 2 B {x lP2 J - W i j} /(I-P1P2) 2 , - (97) 



since ^ 



C = t B0 o | = Pa B, 



and 



^ + B + l\ + Fo+...=(BK - /3l B / , 1 ^+X 1 | 2 BK o yi- W2 



+ B/Oj/Dj, (Xlf>2^2 -Wlc 2 )/^ ~P 1P2 ) 2 " ^ 



on summation. 



