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Articles

Differential-Operators for Circular and Elliptical Wave-Functions in Free-Space Relativistic Scattering

Pages 1251-1266 | Published online: 03 Apr 2012
 

Abstract

A novel method is presented for scattering by cylinders uniformly moving in free-space. The method is based on the application of differential-operators to the rest-state scattered waves. This method is applicable to any solution of the Helmholtz wave equation expressed in terms of a separable coordinate-system, in particular it is demonstrated here for circular and elliptical wave-functions.The analysis applies to arbitrary cylindrical geometries and is based on plane-wave representations which facilitate simple and compact formulas.

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