Wave Propagation Over Continuously Loaded Fine Wires

HK purpose of this investigation is to define the character of wave transmission along a pair of wires each of which is loaded with a continuous sheath of magnetic material. Exact expressions for the propagation constants are developed from the general theory that applies to such a system. Also, simple approximate formulas are given for the sizes of wires t h a t are generally used in paper-insulated cables. WAVE PROPAGATION ALONG A PAIR OF WIRES WITH MAGNETIC SHEATHS For the benefit of those who are not interested in following the theoretical work in detail, a general sketch of the method and a summary of the mathematical results will be given first, together with a discussion of some numerical examples. Details of the theoretical work have been placed in the Appendices. The analysis here given follows closely the methods developed by John R. Carson 1 in a solution of the transmission of periodic currents along a system of coaxial cylinders. The analysis for the case where the outgoing and return conductors are coaxial is applied, with only small modifications, to the case where the two conductors are parallel and not coaxial. This application of the theory ignores the "proximity effect." 2 T h a t is to say, it assumes t h a t the electric and magnetic forces within each conductor are functions only of the distance from its axis and of the coordinate in the direction of propagation, which is strictly true where the cylindrical conductors are coaxial. 1 "Transmission Characteristics of the Submarine Cable," John R.