High-order numerical solution of the nonlinear Helmholtz equation with axial symmetry

DOI10.1016/j.cam.2006.01.048zbMath1118.78012OpenAlexW2171970434MaRDI QIDQ883486

Gadi Fibich, Guy Baruch, Semyon V. Tsynkov

Publication date: 4 June 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.01.048

zbMATH Keywords

convolutionGreen's functiondiffractionseparation of variablescylindrical symmetrybackscatteringiterative solutionnonparaxialityfourth-order approximationcritical and subcritical nonlinearityKerr medianonlinear self-focusingnonlocal artificial boundary conditions (ABCs)Sommerfeld radiation boundary conditions

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (4)

Efficient finite difference methods for the nonlinear Helmholtz equation in Kerr medium ⋮ High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension ⋮ Finite Element Method and its Analysis for a Nonlinear Helmholtz Equation with High Wave Numbers ⋮ A high-order numerical method for the nonlinear Helmholtz equation in multidimensional layered media

Cites Work

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