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A high-order numerical method for the nonlinear Helmholtz equation in multidimensional layered media

✍ Scribed by G. Baruch; G. Fibich; S. Tsynkov

Book ID
108164237
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
985 KB
Volume
228
Category
Article
ISSN
0021-9991

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πŸ“œ SIMILAR VOLUMES

High-order numerical method for the nonl
High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension
✍ G. Baruch; G. Fibich; S. Tsynkov πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 840 KB

The nonlinear Helmholtz equation (NLH) models the propagation of electromagnetic waves in Kerr media, and describes a range of important phenomena in nonlinear optics and in other areas. In our previous work, we developed a fourth order method for its numerical solution that involved an iterative so

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We show how to solve time-harmonic scattering problems by means of a highorder NystrΓΆm discretization of the boundary integral equations of wave scattering in 2D and 3D. The novel aspect of our new method is its use of local corrections to the discretized kernel in the vicinity of the kernel singula