Визначення дисперсійних характеристик прямокутного хвилеводу з вузькими імпедансними стінками

This study explores a rectangular metal waveguide with narrow impedance walls, described by equivalent impedance-type boundary conditions. The task addressed is to build an effective mathematical model for analyzing waveguides with non-ideally conducting and irregular boundary surfaces, by determining their dispersion characteristics and wave propagation constants. An approach based on the Fourier method and Leontovych impedance boundary conditions has been proposed. This has made it possible to avoid the complications associated with the vector statement of the problem and obtain transcendental equations for determining the propagation constants of bulk and surface waves. The dispersion equation was analytically solved and the eigenwave parameters were calculated in a wide range of surface impedance values. The analytical results made it possible to verify correctness of the approach from a physical point of view; they could facilitate the optimization of parameters for the basic structure to the requirements of a specific microwave device. This is due to the use of an impedance boundary condition model, which adequately takes into account the influence of losses and reactive properties of the surface on electromagnetic fields and wave propagation processes in the waveguide. In practice, the proposed approach could be used for the analysis and design of complex periodic microwave structures, in particular, filters, directional couplers, as well as power distribution elements between phased array antenna elements. Through the generalization of research results in the form of normalization of the impedance and spectral characteristics of the basic waveguide structure, the obtained characteristics could be used to design microwave devices in the range from decimeter to millimeter wavelengths