Surface waves in a Goubau line filled with nonlinear anisotropic inhomogeneous medium

DOI10.1080/00036811.2021.1919645zbMath1498.78040OpenAlexW3157491962MaRDI QIDQ5038082

Eugene Smolkin, Yu. V. Shestopalov, Yury G. Smirnov

Publication date: 29 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1919645

zbMATH Keywords

numerical methodMaxwell's equationsKerr nonlinearitytwo-parameter eigenvalue problemGoubau linenon-polarized azimuthal-symmetric electromagnetic wavesnonlinear inhomogeneous waveguide

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Maxwell equations (35Q61)

Cites Work

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• On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular dielectric waveguide filled with nonlinear isotropic homogeneous medium
• Eigenvalue transmission problems describing the propagation of TE and TM waves in two-layered inhomogeneous anisotropic cylindrical and planar waveguides
• The new type of non-polarized symmetric electromagnetic waves in planar nonlinear waveguide
• Integral Equation Approach for the Propagation of TE-Waves in a Nonlinear Dielectric Cylindrical Waveguide
• Surface Waves and Their Application to Transmission Lines

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