On the Scattering of Electromagnetic Waves by Perfectly Conducting Bodies Moving in Vacuum. Part 1. Formulation and Reformulation of the Scattering Problem.
Final technical rept.,
DELAWARE UNIV NEWARK APPLIED MATHEMATICS INST
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The problem of determining the scattered electromagnetic field produced when an initially quiescent incident field impinges upon a perfectly conducting body moving and deforming in vacuum is originally formulated as an initial-boundary-value problem for Maxwells equations in a noncylindrical exterior domain in space-time. The motion and deformation of the scatterer are allowed to be fairly general, the essential hypotheses being that the boundry of its space-time track is smooth and can be mapped and smoothly onto a cylinder, while the speeds of points on the body must remain less than that of light in vacuum. Within this setting, uniqueness theorems are proven for various initial-boundary-value problems for a system of generalized Maxwell equations in particular, for the scattering problem, and for the scalar wave equation, in noncylindrical domains.
- Numerical Mathematics
- Electricity and Magnetism