The uniqueness and existence of solutions for the 3D Helmholtz equation in a step-index waveguide with unbounded perturbation-Reference-Cited by-同舟云学术

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

Published:2012-04-13 Issue:7 Volume:35 Page:857-868
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math. Meth. Appl. Sci.

Author:

Liu Lihan¹,Qin Yuehai²,Xu Yongzhi³,Zhao Yuqiu¹

Affiliation:

1. Department of Mathematics; Sun Yat-sen University; Guangzhou; 510275; China

2. Department of Mathematics; Guangdong University of Education; Guangzhou; 510303; China

3. Department of Mathematics; University of Louisville; Louisville; KY; 40292; USA

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference16 articles.

1. A uniqueness and existence of solutions for the 3-D Helmholtz equation in a stratified medium with unbounded perturbation;Liu;Mathematical Methods in the Applied Sciences,2011

2. Scattering of acoustic waves by an obstacle in a stratified medium;Xu;Partial differential equations with real analysis, Pitman Research Notes in Mathematics Series,1992

3. Radiation condition and scattering problem for time-harmonic acoustic waves in a stratified medium with a non-stratified inhomogeneity;Xu;IMA Journal of Applied Mathematics,1995

4. Wave propagation in a 3-D optical waveguide;Alexandrov;Mathematical Models and Methods in Applied Sciences(M3AS),2004

5. Alexandrov O Ciraolo G Wave propagation in a 3-D optical waveguide II Numerical results. More Progresses in Analysis, Proceedings of the 5th International ISAAC Congress, World Scientific 2009 627 636

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