TRANSPORT SOLUTIONS O MAXWELL EQUATIONS AT SUB-LIGHT SPEEDS IN BIQUATERNION REPRESENTATION

Abstract

The most common movable radiation sources of electromagnetic waves among the operating ones located on the platforms of various vehicles. It is obvious that the speed of movement affects the processes of wave propagation in an environment with such electrical conductivity and magnetic permeability, as does the shape of the source itself and the nature of its operation.

In this work are constructed and studied transport solutions of the biquaternion wave equation, which is a biquaternion generalization of Maxwell's equations. These equations describe the electromagnetic fields of emitters of electromagnetic (EM) waves and electro-gravimagnetic waves (EGM), moving in a fixed direction with a constant speed, which is less than the speed of propagation of waves in an electromagnetic medium (the speed of light). Fundamental and generalized transport solutions have constructed that describe the EM fields of moving objects in the entire range of speeds, from light to superluminal.The electromagnetic field generated by a moving point emitter on the Z-axis described by the biquaternion Green's function (bifunction) in a moving coordinate system constructed using the Fourier transform of generalized functions. The energy density and Poynting vector of this field were determined. Influence of movement speed researched on field characteristics