D.N. Panin1, O.V. Osipov2, Ya.M. Kuznetsov3

1,2 Povolzhskiy State University of Telecommunication and Informatics (Samara, Russia)

3 JSC «SIB RS» (Samara, Russia)

1 pdntec@mail.ru; 2 o.osipov@psuti.ru; 3 kym@siprs.ru

Problem statement. In modern electrodynamics, there is no universal analytical solution for calculating the reflection characteristics of electromagnetic waves from inhomogeneous magnetodielectric structures, which makes it difficult to predict the behavior of such systems under various operating conditions. Existing methods are either limited to special cases or require significant computing resources, not providing sufficient accuracy in the design of modern radio devices. The problem is especially acute for planar inhomogeneous layers, which are widely used as protective coatings, where it is necessary to take into account the influence of the polarization of the incident wave and the spatial distribution of the material parameters of the medium. The development of an accurate analytical approach to calculating the reflection coefficient of a wave from such structures will significantly improve the design quality of low-reflective coatings and optimize their characteristics.

Goal. Obtaining an accurate analytical solution for the reflection coefficient of an electromagnetic wave of horizontal polarization from a planar inhomogeneous magnetodielectric layer. Conducting a comparative analysis of the results obtained with analytical data from published studies to confirm the validity of the decision.

Results. An analytical expression for the reflection coefficient is obtained that takes into account all key parameters: the dielectric and magnetic characteristics of the material, the angle of incidence of the wave, the wavenumber, and the spatial distribution of the properties of the layer. The characteristics of the reflection of electromagnetic waves from the exponential layer of a magnetodielectric are studied, followed by a comparison of the results obtained with analytical data presented in the works of other authors.

Practical significance. The practical significance of the study is due to the possibility of using the developed calculation method to optimize the parameters of low-reflective coatings in radio engineering systems. The obtained new analytical expression for the reflection coefficient makes it possible to accurately predict the reflection characteristics at various structural parameters at the design stage, which significantly reduces the time and financial costs of creating effective protective coatings. The versatility of the technique is of particular value: it is applicable to any type of distribution of the material characteristics of the environment, which expands its potential to solve a wide range of practical problems in the field of radio electronics and antenna systems.

Panin D.N., Osipov O.V., Kuznetsov Ya.M. Analytical calculation of the reflection of an electromagnetic wave of horizontal polarization from a planar inhomogeneous magnetodielectric layer // Radiotekhnika. 2026. V. 90. № 6. P. 126−134. DOI: https://doi.org/10.18127/j00338486-202606-14

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