High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension

Journal of Computational Physics

Volumn 227, Issue 1, 2007, Pages 820-850

  Baruch, G ^a   Fibich, G ^a   Tsynkov, S ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Artificial boundary conditions (ABCs); Compact scheme; Complex valued solutions; Discontinuous coefficients; Finite volume discretization; Frech t differentiability; High order method; Inhomogeneous medium; Kerr nonlinearity; Newton's method; Nonlinear optics; Traveling waves; Two way ABCs

Indexed keywords

BOUNDARY CONDITIONS; CONTROL NONLINEARITIES; ELECTROMAGNETIC WAVES; FINITE VOLUME METHOD; FREEZING; HELMHOLTZ EQUATION; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS; NUMERICAL METHODS; NUMERICAL MODELS;

ARTIFICIAL BOUNDARY CONDITION; COMPACT SCHEMES; COMPLEX VALUED SOLUTION; COMPLEX-VALUED; DIFFERENTIABILITY; DISCONTINUOUS COEFFICIENTS; FINITE VOLUME DISCRETIZATIONS; FRECHÉT DIFFERENTIABILITY; HIGH-ORDER METHODS; HIGHER-ORDER METHODS; INHOMOGENEOUS MEDIUM; KERR NONLINEARITY; KERRNONLINEARITIES; NEWTON'S METHODS; TRAVELLING WAVES; TWO WAYS; TWO-WAY ARTIFICIAL BOUNDARY CONDITION;

NONLINEAR OPTICS;

EID: 35348845804     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.08.022     Document Type: Article

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