On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular metal-dielectric waveguide filled with nonlinear radially inhomogeneous medium

作者：Smirnov Yury; Smolkin Eugene^*; Shestopalov Yury

来源：Journal of Electromagnetic Waves and Applications, 2018, 32(11): 1389-1408.

DOI：10.1080/09205071.2018.1438929

• Goubau line
• non-polarized azimuthal-symmetric electromagnetic waves
• Kerr nonlinearity
• nonlinear inhomogeneous waveguide
• Maxwell's equations
• two-parameter eigenvalue problem
• numerical method

Propagation of monochromatic nonlinear symmetric hybrid waves in a cylindrical nonlinear inhomogeneous metal-dielectric waveguide is considered. The physical problem is reduced to solving a transmission eigenvalue problem for a system of ordinary differential equations where spectral parameters are the wave propagation constants. The setting under study is reduced to a new type of nonlinear eigenvalue problem. An analytical method for solving this problem is elaborated. For the numerical solution, a method is proposed based on solving an auxiliary Cauchy problem (a version of the shooting method). As a result of comprehensive numerical modeling, new propagation regimes are discovered.

• 出版日期2018