MATHEMATICAL MODELING OF PERIODIC BRAGG-TYPE MICROWAVE STRUCTURES MADE IN COAXIAL LINES

Abstract

The article presents an approach to the mathematical description of electrodynamic structures in the form of a cascade connection of segments of coaxial lines that differ in cross-sectional shape and dielectric filling. Such structures can be attributed to the class of periodic Bragg-type microwave structures if the condition of commensurability of the operating wavelengths with the spatial period is satisfied. They have broad prospects for use as transducer elements in the problems of measuring and controlling the dielectric characteristics of various materials and substances, which is explained by a characteristic increase in the conversion sensitivity at certain frequencies and a number of other advantages compared to existing sensors of dielectric parameters in the microwave range. The method proposed in the article, which is based on the principle of substitutive modeling, due to the peculiarities of the formed mathematical expressions, can be applied at any stage of analysis, synthesis, optimization of transducer elements and in the procedures for solving inverse measurement problems.