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.
Smolkin, E. (2017). Numerical Method for Electromagnetic Wave Propagation Problem in a Cylindrical Inhomogeneous Metal Dielectric Waveguiding Structures. Mathematical Modelling and Analysis, 22(3), 271-282. https://doi.org/10.3846/13926292.2017.1306809
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