Numerical Study of Propagation of Nonlinear Coupled Surface and Leaky Electromagnetic Waves in a Circular Cylindrical Metal–Dielectric Waveguide: Numerical study of propagation of nonlinear coupled surface and leaky electromagnetic waves in a circular cylindrical metal-dielectric waveguide

Authors: Smirnov, Yu. G., Smol'kin, E. Yu., Snegur, M. O.

Source: Computational Mathematics and Mathematical Physics. 61:1353-1363

Subject Terms: Numerical solution of boundary value problems involving ordinary differential equations, inhomogeneous waveguide, nonlinear two-parameter eigenvalue problem, Nonlinear boundary value problems for ordinary differential equations, Lasers, masers, optical bistability, nonlinear optics, Antennas, waveguides in optics and electromagnetic theory, Goubau line, Kerr nonlinearity, 01 natural sciences, polarized surface TE and leaky TM waves, Maxwell equations, Maxwell's equations, Electromagnetic theory (general), 0103 physical sciences, Waves and radiation in optics and electromagnetic theory, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations

File Description: application/xml

On the Existence of Nonlinear Coupled Surface TE and Leaky TM Electromagnetic Waves in a Circular Cylindrical Waveguide

Authors: Smirnov, Yu. G.^{Aff1, IDS1063784222070106_cor1}, Smolkin, E. Yu.^{Aff1, IDS1063784222070106_cor2}

Source: Technical Physics. 67(6):543-548

On the existence of nonlinear coupled surface TE- and leaky TM-electromagnetic waves in a circular cylindrical waveguide

Authors: Yu.G. Smirnov, E.Yu. Smol'kin

Source: Известия высших учебных заведений. Поволжский регион: Физико-математические науки, Iss 1 (2022)

Subject Terms: inhomogeneous waveguide, goubau line, maxwell's equations, surface waves, leaky waves, coupled waves, nonlinear two-parameter eigenvalue problem, Physics, QC1-999, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2072-3040

Access URL: https://doaj.org/article/0c54774aa852493d96c9b2c24c2c527f

Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide

Authors: Valovik, D. V., Smol'kin, E. Yu.

Source: Computational Mathematics and Mathematical Physics. 57:1294-1309

Subject Terms: nonlinear waveguide, polarized TE and TM waves, 2. Zero hunger, Eigenvalue problems for integral equations, nonlinear two-parameter eigenvalue problem, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, Lasers, masers, optical bistability, nonlinear optics, Antennas, waveguides in optics and electromagnetic theory, Kerr nonlinearity, 01 natural sciences, Maxwell equations, Maxwell's equations, Waves and radiation in optics and electromagnetic theory, 0101 mathematics, propagation of electromagnetic waves

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Access URL: https://zbmath.org/6816217
https://doi.org/10.1134/s0965542517080127

Numerical methods for nonlinear two-parameter eigenvalue problems

Authors: Plestenjak, Bor

Source: BIT Numerical Mathematics. 56:241-262

Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, successive linear approximation, Eigenvalues, singular values, and eigenvectors, nonlinear two-parameter eigenvalue problem, inverse iteration, Jacobi-Davidson method, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/6582319
https://doi.org/10.1007/s10543-015-0566-9

On the problem of propagation of nonlinear coupled TE-TM waves in a layer

Authors: Valovik, Smirnov

Source: Computational Mathematics and Mathematical Physics. March 2014 54(3):522-536