Boundary Eigenvalue Problem for Maxwell Equations in a Nonlinear Dielectric Layer

Yury G. Smirnov; Dmitry V. Valovik

doi:10.4236/am.2010.11005

Boundary Eigenvalue Problem for Maxwell Equations in a Nonlinear Dielectric Layer

Applied Mathematics ◽

10.4236/am.2010.11005 ◽

2010 ◽

Vol 01 (01) ◽

pp. 29-36 ◽

Cited By ~ 5

Author(s):

Yury G. Smirnov ◽

Dmitry V. Valovik

Keyword(s):

Eigenvalue Problem ◽

Dielectric Layer ◽

Maxwell Equations ◽

Nonlinear Dielectric ◽

Boundary Eigenvalue

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TE-polarized Wave Diffraction by a Cylinder Covered with Nonlinear Dielectric Layer

2018 IEEE Asia-Pacific Conference on Antennas and Propagation (APCAP) ◽

10.1109/apcap.2018.8538309 ◽

2018 ◽

Author(s):

Yury Shestopalov ◽

Eugene Smolkin ◽

Maxim Snegur

Keyword(s):

Wave Diffraction ◽

Dielectric Layer ◽

Nonlinear Dielectric

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The theory of the boundary eigenvalue problem in the cohesive crack model and its application

Journal of the Mechanics and Physics of Solids ◽

10.1016/0022-5096(93)90011-4 ◽

1993 ◽

Vol 41 (2) ◽

pp. 331-350 ◽

Cited By ~ 23

Author(s):

Yuan N. Li ◽

Robert Y. Liang

Keyword(s):

Eigenvalue Problem ◽

Cohesive Crack ◽

Crack Model ◽

Cohesive Crack Model ◽

Boundary Eigenvalue

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Multiplicity of periodic solutions for a boundary eigenvalue problem

Dynamical Systems ◽

10.1080/14689360412331335693 ◽

2005 ◽

Vol 20 (2) ◽

pp. 223-232 ◽

Cited By ~ 5

Author(s):

Leonard Karshima Shilgba

Keyword(s):

Eigenvalue Problem ◽

Periodic Solutions ◽

Boundary Eigenvalue

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Diffraction on the nonlinear dielectric layer and numerically analytical methods

15th International Conference on Microwaves, Radar and Wireless Communications (IEEE Cat. No.04EX824) ◽

10.1109/mikon.2004.1357084 ◽

2005 ◽

Cited By ~ 2

Author(s):

V.V. Yatsyk

Keyword(s):

Analytical Methods ◽

Dielectric Layer ◽

Nonlinear Dielectric

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Susceptibility and effects of the resonant scattering of intensive fields by weakly nonlinear dielectric layer

Proceedings of Xth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory ◽

10.1109/diped.2005.201588 ◽

2005 ◽

Author(s):

V.V. Yatsyk

Keyword(s):

Dielectric Layer ◽

Resonant Scattering ◽

Weakly Nonlinear ◽

Nonlinear Dielectric

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Propagation of a plane wave through a nonlinear dielectric layer

Journal of Applied Spectroscopy ◽

10.1007/bf00613897 ◽

1974 ◽

Vol 20 (3) ◽

pp. 363-367

Author(s):

V. P. Emel'yanov ◽

A. P. Khapalyuk

Keyword(s):

Plane Wave ◽

Dielectric Layer ◽

Nonlinear Dielectric

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A nonlinear boundary eigenvalue problem for TM-polarized electromagnetic waves in a nonlinear layer

Russian Mathematics ◽

10.3103/s1066369x08100083 ◽

2008 ◽

Vol 52 (10) ◽

pp. 60-63 ◽

Cited By ~ 2

Author(s):

D. V. Valovik ◽

Yu. G. Smirnov

Keyword(s):

Eigenvalue Problem ◽

Electromagnetic Waves ◽

Nonlinear Boundary ◽

Nonlinear Layer ◽

Boundary Eigenvalue

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The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations

Research in the Mathematical Sciences ◽

10.1007/s40687-021-00303-1 ◽

2021 ◽

Vol 9 (1) ◽

Author(s):

Jean Fornerod ◽

Hoai-Minh Nguyen

Keyword(s):

Eigenvalue Problem ◽

Upper Bound ◽

Maxwell Equations ◽

Counting Function ◽

Transmission Eigenvalue ◽

Transmission Eigenvalue Problem ◽

Generalized Eigenfunctions

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On radial solutions for Navier boundary eigenvalue problem with p-biharmonic operator

Recent Developments in Nonlinear Analysis ◽

10.1142/9789814295574_0018 ◽

2010 ◽

Author(s):

Siham El Habib ◽

Najib Tsouli

Keyword(s):

Eigenvalue Problem ◽

Biharmonic Operator ◽

Radial Solutions ◽

Boundary Eigenvalue

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Singular behaviour in a generalized boundary eigenvalue problem for annular plates in tension

The Quarterly Journal of Mechanics and Applied Mathematics ◽

10.1093/qjmam/hbm009 ◽

2007 ◽

Vol 60 (3) ◽

pp. 319-336 ◽

Cited By ~ 7

Author(s):

C. D. Coman ◽

A. P. Bassom

Keyword(s):

Eigenvalue Problem ◽

Annular Plates ◽

Singular Behaviour ◽

Boundary Eigenvalue

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