Reducing the description of arbitrary wave field converters to tensor form
Vitulyova Y. Kadyrzhan K. Kadyrzhan A. Shaltykova D. Suleimenov I.
July 2025Springer Science and Business Media B.V.
International Journal of Information Technology (Singapore)
2025#17Issue 63275 - 3284 pp.
It is shown that solving problems of radio holography, including diagnostics of subsurface objects, actualizes the development of new approaches to solving classical problems of mathematical physics, in particular, the boundary value problem, on the solution of which the description of wave propagation is based. It is shown that the boundary value problem of mathematical physics, corresponding to the theoretical description of the propagation of wave disturbances, can be solved without using the apparatus of Greens functions (fundamental solutions of the wave equation). The basis for this is the description of wave propagation in terms of spatial frequency spectra, based directly on the analysis of the wave equation. This approach makes it possible to justify the use of the concept of a finite Greens function, which remains bounded everywhere. The expediency of using the concept of “wave field converter” is substantiated. It is proven that by excluding inhomogeneous (damped) waves from consideration, the description of an arbitrary radiation converter can be reduced to a discrete (tensor) form. The possibilities of practical use of the proposed approach are discussed, including for the diagnosis of subsurface objects using radio holography methods.
Boundary value problems , Discrete description , Radiation converters , Spatial frequency spectrum , Wave equation
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Department of Philosophy and Political Sciences, Al-Farabi Kazakh National University, Almaty, Kazakhstan
Institute of Communication and Space Engineering, Almaty University of Power Engineering and Telecommunications named after Gumarbek Daukeev, Almaty, Kazakhstan
National Engineering Academy of the Republic of Kazakhstan, Almaty, Kazakhstan
Department of Philosophy and Political Sciences
Institute of Communication and Space Engineering
National Engineering Academy of the Republic of Kazakhstan
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