Abstract
In the works [1], [2] the authors constructed transport solutions of Maxwell's equations which describe electromagnetic fields of moving particles and charged bodies and surfaces in the entire range of speeds. Here we consider vibration transport solutions of Maxwell's equations of moving emitters of electromagnetic waves of a fixed frequency, moving in a certain direction at a constant speed. Using the Fourier transform of generalized functions, fundamental and generalized solutions of the equations are constructed at sublight speeds, which are less than the speed of propagation of electromagnetic waves in the medium. The properties of the convolution of the Green's tensor of differential equations are used to construct solutions for emitters, both distributed and concentrated on moving surfaces and spatial curves. The influence of the speed of movement and frequency of the emitter on the characteristics of its electromagnetic field is investigated. The obtained results can be used to study the electromagnetic fields of emitters of light and radio waves located on moving objects.