Abstract
The problem considered is that of evaluating the fields induced in a long conducting cylinder, with arbitrary cross-sectional shape and arbitrary constant scalar conductivity and permeability, placed in the field of a constant current source. The spatial-time variations of the source is described by a single wave or a spectrum of waves travelling parallel to the axis. The relative velocity between the source and the cylinder is in the same direction. It is shown that for a quasi-static magnetic field, the induced fields (at the cylinder surface) are conveniently decomposed into TM and TE components that are unidirectionaly coupled. Potential theoretic methods are used to derive 1-dimensional Fredholm integral equations of the second kind for the fields of each mode. An example is given to demonstrate the details of numerical solution. The dimensionless parameters affecting the field distribution are indicated.
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