Theory of Electrodynamics of Media in Non-Inertial Frames and Applications

摘要

In the first half of the thesis a local electrodynamics of media in given non-inertial frames within Maxwell-Einstein classical field theory is constructed in terms of observable EM fields and co-moving local physical media parameters. Localization of tensors to observables is introduced and justified, and a relation is obtained connecting tensor transforms to instantaneous Lorentz transforms for observers in different frames. A constitutive tensor, explicitly expressed by the 4-velocity and the local properties in co-moving frame of a linear medium, is found for the first time. Also a Lagrangian formulation for both lossless and lossy media is constructed, and boundary conditions, local conservation laws, and energy momentum tensor are obtained. The second half concerns application to motions in SRT, such as uniform linear (hyperbolic) acceleration and steady rotation. For these local Maxwell equations in co-moving frames are obtained, and approximate solutions are found for special cases. (Author)