The uniqueness and existence of solutions for the 3D Helmholtz equation in a step-index waveguide with unbounded perturbation

DOI10.1002/mma.1620zbMath1239.35040OpenAlexW2167463174MaRDI QIDQ2882719

Yu-Qiu Zhao, Lihan Liu, Yongzhi Xu, Yuehai Qin

Publication date: 7 May 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1620

zbMATH Keywords

Green's functionexistence of solutionsuniqueness of solutionsHelmholtz equationradiation conditionunbounded perturbationstep-index waveguide

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Green's functions for elliptic equations (35J08)

Cites Work

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• Wave Propagation in a 2-D Optical Waveguide
• Analytical results for 2-D non-rectilinear waveguides based on a Green's function
• Radiation condition and scattering problem for time-harmonic acoustic waves in a stratified medium with a nonstratified inhomogeneity
• WAVE PROPAGATION IN A 3-D OPTICAL WAVEGUIDE

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