Duality Transformation in a Three Dimensional Conducting Medium with Two Dimensional Heterogeneity and an In-Plane Magnetic Field
- 13 April 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 80 (15) , 3356-3359
- https://doi.org/10.1103/physrevlett.80.3356
Abstract
The classical duality transformation of two dimensional continuum conductors is extended to three dimensional conductors with a two dimensional heterogeneity. This is used to discuss the classical magnetotransport of a periodic array of parallel cylindrical inclusions, which are either perfect insulators or superconductors, embedded in a free electron conducting host. A detailed understanding of the local field and current distributions is thereby achieved, and closed form expressions are obtained for the strong field magnetoresistance in some important configurations.Keywords
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