456 



BELL SYSTEM TECHNICAL JOURNAL 



which, in accordance with the complex c|uantity notation may be 

 written 



ip = aihE-\-aike-\-a2{,mE^'-\-o.2{'ik)e- + 2a-2{,oE)EE-\-2a2(h+k)Ee 

 + 2a2{h-k)Ee-\-2a2{Oe)ee-\- . . . 



<|i|i|i|i^ 



Fig. 8 — Plate circuit modulation 



Then, with the aid of (4), upon equating coefficients of Hke powers of 

 e, E, and Ee, we get 



1 



au, 



rp-^h 



a\k- 



rp-\-Zk 



02(^/1) = 



~2^P^P 



a2(2k) = 



O-HOE) = 



{rp-\-Zh)-{rp-\-Znh) 



{rp-\-ZkY{rp-\-Zik) 



2^P^P 



(rp-hz„nrp+R) -2ldEp2^^''^"''^''^ -'"''''' J 



a2Ui+k) — 



(rp + Zh) {rp + Zk) {rp + z/,+fc) 



0'2(h-k) = 



[^y(2rp+s;,+c,) -/..,./] 



J- r 9m rp 

 2 



a2{0t) = 



{rp-^Zi,)(rp+Zk)(rp-\-Zh-k) 



(51) 



ir3M 



2 



(rp-hZkyirp-^R) 



