The Method of Images in Velocity-Dependent Systems

Abstract

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.

Electromagnetostatic Charges and Fields in a Rotating Conducting Sphere

“…Our solution, which is based on the method developed in [9] and an ansatz leading to a problem with the Dirichlet boundary condition, appears to be new. Hopefully, it could contribute to the continuous interest in application-oriented relativistic electrodynamics (cf, e.g., [13][14][15][16][17][18][19][20][21]).…”