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math-ph2009★ 29 cited
A High-Order Numerical Method for the Nonlinear Helmholtz Equation in Multidimensional Layered Media
Guy Baruch, Gadi Fibich, Semyon V. Tsynkov
We present a novel computational methodology for solving the scalar nonlinear Helmholtz equation (NLH) that governs the propagation of laser light in Kerr dielectrics. The methodol…
math-ph2007★ 26 cited
High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension
Guy Baruch, Gadi Fibich, Semyon V. Tsynkov
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…