Complex waves in the inhomogeneous dielectric lossy Goubau line

The paper focuses on the propagation problem of the TE-waves in an open metal-dielectric inhomogeneous waveguide with losses. The propagation problem is reduced to a transmission eigenvalue problem for an ordinary differential equation. Spectral parameters of the problem are propagation constants of the waveguide. A numerical method for the determination of approximate eigenvalues is developed based on the shooting method. Using the method we can numerically find propagating, evanescent, and complex surface and leaky waves. Numerical results are presented.