Numerical Method for Electromagnetic Wave Propagation Problem in a Cylindrical Inhomogeneous Metal Dielectric Waveguiding Structures

Abstract

The propagation of monochromatic electromagnetic waves in metal circular cylindrical dielectric waveguides filled with inhomogeneous medium is considered. The physical problem is reduced to solving a transmission eigenvalue problem for a system of ordinary differential equations. Spectral parameters of the problem are propagation constants of the waveguide. Numerical results are found with a projection method. The comparison with known exact solutions (for particular values of parameters) is made.

Keywords:

• Maxwell’s equations
• boundary value problem
• projection method
• numerical method

AMS Subject Classification:

• 78M25

ORCID

Eugene Smolkin http://orcid.org/0000-0003-0168-0282