Concepedia

Accurate solution of the Helmholtz equation by Lanczos orthogonalization for media with loss or gain

R. P. Ratowsky, J. A. Fleck, Michael D. Feit

Optics Letters · 1992 · 15 citations · 7 references

DOI

Concepts

Abstract

The numerical scheme for solving the Helmholtz equation, based on the Lanczos orthogonalization scheme, is generalized so that it can be applied to media with space-dependent absorption or gain profiles.

References

7

An iteration method for the solution of the eigenvalue problem of linear differential and integral operators

Cornelius Lanczos · Journal of research of the National Bureau of Standards · 1950 · 4.4K citations · Full text

, , +16

Time-dependent propagation of high energy laser beams through the atmosphere

J. A. Fleck, J. R. Morris, Michael D. Feit · Applied Physics A · 1976 · 1.3K citations

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A comparison of different propagation schemes for the time dependent Schrödinger equation

Claude Leforestier, Rob H. Bisseling, C. Cerjan et al. · Journal of Computational Physics · 1991 · 969 citations

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Unitary quantum time evolution by iterative Lanczos reduction

Tae Jun Park, J. C. Light · The Journal of Chemical Physics · 1986 · 889 citations

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Helmholtz beam propagation in rib waveguides and couplers by iterative Lanczos reduction

R. P. Ratowsky, J. A. Fleck, Michael D. Feit · Journal of the Optical Society of America A · 1992 · 50 citations

, , +14