Abstract
Statement of the problem. Approximate models of open structures with plasma inclusion describe the spectral characteristics of such electrodynamic objects rather roughly. In this regard, it is of interest to study them on the basis of a rigorous model in order to clarify the features of their behavior on various geometric and electrodynamic parameters. Objective. To propose a methodology for modeling the spectral and diffraction characteristics of open resonators containing inhomogeneous inclusions, allowing a unified approach to the study of their electrodynamic characteristics. Results. Analytical physical and mathematical models of the spectral characteristics of the resonator based on the calculation of the matrix operator function in the case of an inhomogeneous dielectric inclusion are presented. Practical significance. It is of great interest for various areas of plasma physics and biophysics to study the spectral and diffraction characteristics of the open resonators containing various inhomogeneous inclusions, the material parameters of which depend on spatial coordinates or on the frequency parameters of the structure. The results obtained can be used in the study of the properties of such objects.
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