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

Journal of Computational and Applied Mathematics

Volumn 204, Issue 2 SPEC. ISS., 2007, Pages 477-492

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

^a TEL AVIV UNIVERSITY   (Israel)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Backscattering; Convolution; Critical and subcritical nonlinearity; Cylindrical symmetry; Diffraction; Fourth order approximation; Green's function; Iterative solution; Kerr media; Nonlinear self focusing; Nonlocal artificial boundary conditions (ABCs); Nonparaxiality; Separation of variables; Sommerfeld radiation boundary conditions

Indexed keywords

BACKSCATTERING; BOUNDARY CONDITIONS; DIFFRACTION; GREEN'S FUNCTION; HELMHOLTZ EQUATION; ITERATIVE METHODS; OPTICAL KERR EFFECT; PROBLEM SOLVING; SCHRODINGER EQUATION;

ARTIFICIAL BOUNDARY CONDITIONS (ABC); CYLINDRICAL SYMMETRY; FOURTH ORDER APPROXIMATION; KERR MEDIA; NONLINEAR SELF FOCUSING; NONPARAXIALITY; SOMMERFELD RADIATION BOUNDARY CONDITIONS; SUBCRITICAL NONLINEARITY;

NONLINEAR ANALYSIS;

EID: 34247194991     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.01.048     Document Type: Article

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