Abstract
The paper presents the results of constructing the physical and mathematical model of high-frequency electromagnetic waves propagation in slowly moving media of finite dimensions, which takes into account the phenomena of specular reflection of these waves. The constructed model is based on formulas designed to determine the speed of electromagnetic waves propagation in slowly moving media of finite dimensions, as well as on equations designed to describe these waves. The advantageous feature of these equations is that they take into account the Fresnel drag coefficient for electromagnetic waves propagation speed. The approach to solving of these equations, as well as the approach to modeling of the process of electromagnetic waves propagation in slowly moving media of finite dimensions, based on the use of a difference scheme, in which the motion of these media is taken into account, is proposed. It has been determined that the proposed model and approaches can be used in solving problems related to the construction of receiving-transmitting paths, as well as in solving problems of aeroacoustics.
Highlights
THE relativity theory in combination with Maxwell’s equations was the foundation for the electrodynamics of moving medium
In connection with the above, the aim of this work was to build a consistent physical and mathematical model of high-frequency electromagnetic waves propagation in slowly moving medium of finite dimensions, when the speed of the latter depends on coordinates and time
Note that in order to fulfill the matching conditions, we proposed to use a soliton-like electromagnetic wave packet, which can be used to take into account the broadening of spectral lines, the temporal and spatial dispersion of signals in a material moving medium
Summary
THE relativity theory in combination with Maxwell’s equations was the foundation for the electrodynamics of moving medium. The equations for the electromagnetic field in a moving medium can be derived in two ways. They can be obtained by averaging the microscopic equations of the electron theory, when all particles that make up the medium have a speed of ordered motion. The equations of a macroscopic electromagnetic field in a moving medium can be obtained using the Lorentz transformations from the known field equations for a medium at rest. G. Minkowski took the second path, showing that the equations of the electromagnetic field for moving medium unambiguously follow from Maxwell’s equations for medium at rest and the relativity principle [1]
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