Ivanov A. Uniform asymptotic theory of wave diffraction on curvilinear impedance surfaces

The object of research is the diffraction of a high-frequency electromagnetic wave on a curvilinear impedance surface with edge. The purpose of the research: development of ray tracing asymptotic method for the solution of problems of electromagnetic wave diffraction on a curvilinear impedance surface with edge. Methods of research: uniform asymptotic theory of diffraction, method of reference problem, finite element method. Theoretical and practical new results: problem of electromagnetic wave diffraction on a curvilinear wedge is solved. The wedge is assumed to have slowly variable surface impedance and an edge of arbitrary shape. The algorithm for the field computation in the vicinities of ray expansion singularities is proposed. Asymptotic expansions are obtained for the fields of eigen surface modes of a curvilinear surface situated in weakly inhomogeneous media. The field of application: synthesis of antenna systems, quasi-optic microwave devices and analysis of radio waves propagation.