Finite difference methods for the nonlinear equations of perturbed geometrical optics

Applied Computational Electromagnetics Society Journal

Volumn 11, Issue 1, 1996, Pages 90-98

  Fatemi, E ^a   Engquist, B ^a   Osher, S ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIFFRACTION; FINITE DIFFERENCE METHOD; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES;

CLASSICAL ASYMPTOTIC EXPANSION; HELMHOLTZ EQUATION;

GEOMETRICAL OPTICS;

EID: 0029755782     PISSN: 10544887     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (5)

1. M. Born and E. Wolf, Principles of Optics, Pergamon Press, sixth edition, 1989.
2. E. Fatemi, B. Engquist, and S. Osher, 'Numerical solution of the high frequency asymptotic expansion for the scalar wave equation ', Journal of Computational Physics 120 (1995), 145-155.
3. J. B. Keller, 'A Geometrical Theory of Diffraction ', Calculus of variations and its Applications, McGraw-Hill, New York, 1958, p. 27.
4. H-O Kreiss and J. Lorenz, Initial-Boundary Value Problems and the Navier-Stokes Equations, Academic Press, Inc., San Diego, 1989.
5. S. Osher and C-W Shu, 'High order essentially nonoscillatory schemes for Hamilton-Jacobi equations ', SIAM J. Numer. Analys. XXVIII (1991), 907-922.