Generalized Solutions of Biquaternionic Form of Maxwell Equations for Moving Ball and Spherical Emitters

Abstract

Transport solutions of the biquaternion wave equation, which is a biquaternion generalization of Maxwell's equations describing the electro-gravimagnetic (EGM) fields of EGM wave emitters are constructed which are moving in a certain direction with a constant speed that is less than the speed of light. Fundamental and generalized transport solutions of the biwave equation for describing the fields of moving EGM wave emitters are constructed using the theory of generalized functions. The Green bifunction is constructed which describes the field of a concentrated charge-mass, and its energy-momentum biquaternion is investigated. Biquaternions of the EGM field strength of moving spherical and ball emitters are constructed. Use the obtained results to study the electromagnetic fields of various EM emitters and radio wave emitters located on moving objects (trains, cars, ships, etc.).