Transmission Properties of Laminated Clogston Type Conductors

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.1 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 1 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 Theory of Laminated Transmission Lines. Bell System Tech. J., Part I, 31, pp. 883-949, Sept., 1952, and Part 2, 31, pp. 11211206, Nov., 1952.