Image from page 1175 of "The Bell System technical journal" (1922)
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48), Xi = 2VS = 7r/«, (354) and (350) becomes (355) 2\/m/€ ga which is the same as equation (288) of the preceding section. The general expressions (333) and (334) for the fields in a plane Clog-ston line with infinitesimally thin laminae and high-impedance wallssimplify considerably for the principal mode, since ko is so small that toa good approximation for \ y \ ^ |6 we may replace sh kqIJ by K^y andch Ki^y by unity. We then ha\e, in the main dielectric, ^ See for example Reference 18, Addenda, pj). 32-35. 1140 THE BELL SYSTEM TECHNICAL JOURNAL, NOVEMBER 1952 1^,1 E. Mo TT -yz Hoe~, (356) for —\b-^y-^\h, where //o is an arbitrarj^ amplitude factor. Thefields in the stacks are u ^ u sinxiCJoTj/) ^^,tix ~ i^i) ; 6 Ey sm xis M jj sin XI(|a ^ y) -■,e ° sin xiS (357; j^ r^ ^^^ n cos xi(|q =F j/) , ^ Sin xiS for ^b ^ \ y \ ^ ^a, where the upper signs refer to the upper stack andthe lower signs to the lower stack. The potential and current distribu- Hx=-f^E, (a) 1-! . 1 H OR E 111
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