Determination of the spectra of solutions of boundary value problems for guiding structures using the transition to integral equations

Abstract

The vast majority of guiding structures are described [13] by non-self-adjoint electrodynamic operators, which are understood as the totality of the differential equation and the system of boundary conditions. In [15], the conditions for the non-self-adjointness of electrodynamic operators are formulated as applied to the method of separation of variables. The indicated operators can be put in accordance with [56] integral equations. The boundary problems for cylindrical guiding structures are assigned the Volterra integral equations, using asymptotic solutions of which an a priori determination of the spectra of solutions of boundary-value problems for two-layer open and shielded waveguides is carried out.

Keywords

• electrodynamic operator
• wave spectrum
• boundary value problem
• volterra equation
• eigen and improper waves
• two-layer guiding structures