The problem of normal waves in an open metal-dielectric regular waveguide of
arbitrary cross-section is considered. This problem is reduced to the boundary eigenvalue problem for
longitudinal components of electromagnetic field in Sobolev spaces. To find the solution, we use the
variational formulation of the problem. The variational problem is reduced to study of an operator-function.
Discreteness of the spectrum is proved and distribution of the characteristic numbers of the operatorfunction
on the complex plane is found.
MATHEMATICAL THEORY OF NORMAL WAVES IN AN OPEN METAL-DIELECTRIC REGULAR WAVEGUIDE OF ARBITRARY CROSS SECTION
