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Scattering of electromagnetic fields by a moving boundary: The one-dimensional case

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1 Author(s)
Cooper, J. ; University of Maryland, College Park, MD, USA

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 ofbeta = upsilon_{M}c^{-1}whereupsilon_{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 ofbetaindependent 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.

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Antennas and Propagation, IEEE Transactions on  (Volume:28 ,  Issue: 6 )