J Austral Math Soc Ser B 38 pp1--15, 1996.

Double conductor line above a two-layered cylinder with varying properties

A. A. Kolyshkin and Rémi Vaillancourt

Abstract

The change of impedance per unit length in a single or double conductor line situated parallel to an infinitely long two-layered metallic circular cylinder is found (within the quasistatic approximation) in the form of an infinite series. The cylinder consists of an inner core and an outer annulus. The properties of the inner core are assumed to be constant. The relative magnetic permeability, m(r) = r ^a, and the conductivity, s(r) = s ⁽⁰⁾ r ^k, of the outer annulus vary with respect to the radial coordinate, r, and a and k are arbitrary real numbers. Numerical results are presented in the form of figures and tables.

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Authors

A. A. Kolyshkin

Dept of Applied Mathematics, Riga Technical University, Riga, Latvia, LV 1010.

Rémi Vaillancourt

Depts of Mathematics and Computer Science, University of Ottowa, Ottowa, ON, Canada K1N 6N5.