Diffraction of Electromagnetic Waves by a Layer Filled with a Kerr-Type Nonlinear Medium

DOI10.1142/S1402925110000921zbMath1203.35276arXiv0910.2095MaRDI QIDQ3060132

Vasyl V. Yatsyk, Yu. V. Shestopalov

Publication date: 1 December 2010

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.2095

zbMATH Keywords

resonance scatteringvolume singular integral equationcubic polarizabilitygeneration of wavesKerr-type nonlinear layer

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Composite media; random media in optics and electromagnetic theory (78A48) Applications of operator theory to differential and integral equations (47N20) Numerical solutions to equations with nonlinear operators (65J15) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (3)

Resonance scattering and generation of oscillations by channeling nonlinear layered media ⋮ The domain derivative in inverse obstacle scattering with nonlinear impedance boundary condition ⋮ Eigenmodes of Linearised Problems of Scattering and Generation of Oscillations on Cubically Polarisable Layers

Cites Work

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• Integral equation approach to reflection and transmission of a plane TE-wave at a (linear/nonlinear) dielectric film with spatially varying permittivity
• Solutions to the Helmholtz equation for TE-guided waves in a three-layer structure with Kerr-type nonlinearity
• Integral Equation Approach for the Propagation of TE-Waves in a Nonlinear Dielectric Cylindrical Waveguide
• Green's Functions for Singular Ordinary Differential Operators
• Reflection and transmission of a plane TE-wave at a lossless nonlinear dielectric film

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