Coupled Transmission Lines

Abstract

This thesis presents the theory of interaction or coupJJ.ng between .::;' two parallel, closely spaced single transmission_llneao _Thia theory. can also be applied to a pair of balanced transmission lineao This study is part of the research project,• "Probabilistic System Analysis 9'' sponsored by Sandia Corporation, under Contract Noo 50-7841-o The original goal of this part of the project was to investigate t}ie $.nterference or induced voltage on a line among a ~dle of l.bies of w~icb pulses are past on one of the other lines.In the course of this study, it was found-that this investigation of coupled transmission li~e theory is not only of . .i:ntel'8at to Sandia Corporation for just knowing how much interference voltage.is .biduced and how this voltage can be reduced 9 but the.theory also bas a great potential of application to a large class of transmissionproblemso For example 9 -tbe analysis of multimode transiliisaiol\' syst~. ~d the cU1alysis -of interaction.between drifting charged particles and propagating elec-. tromagnetic waves•o fri view of these more . iq,ortan:t applications•, the •.study made here • is beyond Sanclia 9 s . . . inte~t O ' . ,, ti., Indebtediwaa is acknowledged to~l>ro Kenneth Ro Cook for-bis recommendation and to Dro Arthur'Mo. Breipobl for granting.the research.assis-_tantship which enabled the author to work on these intereating-probleinso The author wishes to express his sincere appzrec!atim to:Drso Ko-Ro .gestive diacuaaioneo .iii 7 2. The Contour Used For the Special Type Integrands Discussed In The Text o • o • o • • • • •• • • • • • • o o .. o • • • • • 3.