Transmission Properties of Laminated 

 Clogston Type Conductors 



By E. F. VAAGE 



(Manuscript received December 8, 1952) 



The transmission properties of ideal laminated conductors of the Clogston 

 type are discussed hy introducing the concepts of equivalent inductance, 

 capacitance and resistance values which are analogous to tfieir corresponding 

 counterparts in the treatment of ordinary transmission lines. From these 

 constants the attenuation, phase constant, and speed of propagation are 

 obtained using conventional transmission line theory, and the results com- 

 pared with those for ordinary coaxial conductors. 



This paper is divided into two parts. In the first part a general discussion 

 is given of Clogston cables and a comparison made with the conventional 

 coaxial cable. This is illustrated with a few numerical examples, based on 

 formulas which are developed in the second part of this paper. 



INTRODUCTION 



The discovery that deep penetration of the current can be obtained 

 in laminated conductors, when the speed of propagation is made constant 

 over the entire cross-section of the cable, is described in an earlier issue 

 of this magazine/ The theoretical study of the problem was based on 

 ,,/maxwell's field equations dealing with a stack of parallel plates of 

 alternate conducting and insulating layers. When applied to concentric 

 laminated tubes, this method results in a set of extremely complex 

 equations. S. P. Morgan has given a rigorous solution for the case when 

 the laminated layers are of infinitesimal thickness. 



The present paper uses a different approach which leads to simpler 

 approximate formulas. Available theoretical results are combined with 

 simplifying approximations and certain somewhat arbitrary assumptions 



^ Clogston, A. M., Reduction of Skin Effect Losses by the use of Laminated 

 Conductors. Bell System Tech. J., 30, pp. 491-529, July, 1951. 



2 Morgan, S. P., Mathematical Theorv of Laminated Transmission Lines. 

 Bell System Tech. J., Part I, 31, pp. 883-949, Sept., 1952, and Part 2, 31, pp. 1121- 

 1206, Nov., 1952. 



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