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Progress In Electromagnetics Research
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THE METHOD OF IMAGES IN VELOCITY-DEPENDENT SYSTEMS

By D. Censor

Full Article PDF (203 KB)

Abstract:
This study investigates the application of image methodology to velocity-dependent wave systems. Special Relativity is used for the analysis of waves scattered by arbitrary moving objects in the presence of a perfectly-conducting plane-interface. The various scenarios considered involve geometrical, material, and kinematic symmetries. Cases discussed include free-space, material media at-rest, and material media in motion, with respect to the plane-interface boundary. The last configuration is elaborated for two different scenarios: the first assumes the same medium velocity throughout space when the plane boundary is removed; the second introduces two symmetrical velocityfields in the half-spaces involved, with a jump in flow direction at the interface.

Where the method applies it simplifies the analysis, and the results enrich our yet limited repertoire of canonical problems for relativistic scattering.

Citation:
D. Censor, "The Method of Images in Velocity-Dependent Systems," Progress In Electromagnetics Research, Vol. 63, 51-73, 2006.
doi:10.2528/PIER06041503
http://www.jpier.org/PIER/pier.php?paper=06041503

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