Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide

DOI10.1134/S0965542517080127zbMath1383.78025OpenAlexW2751190634MaRDI QIDQ1683178

E. Yu. Smol'kin, Dmitry V. Valovik

Publication date: 6 December 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517080127

zbMATH Keywords

Maxwell's equationsKerr nonlinearitynonlinear two-parameter eigenvalue problemnonlinear waveguidepropagation of electromagnetic wavespolarized TE and TM waves

Mathematics Subject Classification ID

Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40) Eigenvalue problems for integral equations (45C05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Maxwell equations (35Q61)

Related Items (4)

Numerical study of propagation of nonlinear coupled surface and leaky electromagnetic waves in a circular cylindrical metal-dielectric waveguide ⋮ Nonlinear multiparameter eigenvalue problems: linearised and nonlinearised solutions ⋮ Nonlinear propagation of coupled surface TE and leaky TM electromagnetic waves ⋮ NONLINEAR PROPAGATION OF LEAKY TE-POLARIZED ELECTROMAGNETIC WAVES IN A METAMATERIAL GOUBAU LINE

Cites Work

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• Eigenvalue transmission problems describing the propagation of TE and TM waves in two-layered inhomogeneous anisotropic cylindrical and planar waveguides
• Nonlinear coupled electromagnetic wave propagation: saturable nonlinearities
• On the problem of propagation of nonlinear coupled TE-TM waves in a layer
• Coupled electromagnetic transverse-electric–transverse magnetic wave propagation in a cylindrical waveguide with Kerr nonlinearity
• On the problem of nonlinear coupled electromagnetic transverse-electric–transverse magnetic wave propagation
• Problem of nonlinear coupled electromagnetic TE-TE wave propagation

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