Scattering of electromagnetic fields by a moving boundary: The one-dimensional case
- 1 November 1980
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 28 (6) , 791-795
- https://doi.org/10.1109/tap.1980.1142445
Abstract
The scattered field is studied that results when a plane wave is normally incident on a perfectly conducting flat plate in motion. The exact solution is analyzed for both periodic and aperiodic motion. The quasi-stationary approximation is compared with the exact solution, and the error is found to be on the order of\beta = \upsilon_{M}c^{-1}where\upsilon_{M}is the maximum speed of the moving boundary andcis the speed of light. This error estimate includes a factor which increases as the distance from the plate increases. A uniform quasi-stationary approximation is developed which has an error on the order of\betaindependent of the space variable. By taking into account the Doppler shift, it is possible to construct a uniform approximation to the exact solution on the order ofa_{M}c^{-2}wherea_{M}is the maximum acceleration of the boundary.Keywords
This publication has 7 references indexed in Scilit:
- Scattering by moving bodies: The quasi stationary approximationMathematical Methods in the Applied Sciences, 1980
- Scattering of plane waves by a moving obstacleArchive for Rational Mechanics and Analysis, 1979
- Scattering by linearly vibrating objectsIEEE Transactions on Antennas and Propagation, 1979
- The existence of the scattering operator for moving obstaclesJournal of Functional Analysis, 1979
- Electromagnetic fields in the presence of rotating bodiesProceedings of the IEEE, 1976
- Reflection of electromagnetic waves from oscillating surfacesIEEE Transactions on Antennas and Propagation, 1975
- Three-dimensional derivation of the electrodynamic jump conditions and momentum-energy laws at a moving boundaryProceedings of the IEEE, 1965