Accurate description of ultrawide-angle beam propagation in homogeneous media by Lanczos orthogonalization

We demonstrate accurate modeling of ultrawide-angle beam propagation in homogeneous media by Lanczos orthogonalization for acceptable longitudinal step sizes. Accuracy is determined by comparison with solutions to the Helmholtz equation obtained by a band-limited Fourier series method.

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Bibliographic Details
Published in:Optics letters 1994-09, Vol.19 (17), p.1284-1286, Article 1284
Main Authors: Ratowsky, R P, Fleck, Jr, J A, Feit, M D
Format: Article
Language:English
Subjects:
661300 > Other Aspects of Physical Science-- (1992-)
BEAM OPTICS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
ENGINEERING
EQUATIONS
FOURIER ANALYSIS
FUNCTIONS
HAMILTONIAN FUNCTION
LASER RADIATION
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS 426002 > Engineering-- Lasers & Masers-- (1990-)
WAVE EQUATIONS
WAVE PROPAGATION
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Description
Summary:We demonstrate accurate modeling of ultrawide-angle beam propagation in homogeneous media by Lanczos orthogonalization for acceptable longitudinal step sizes. Accuracy is determined by comparison with solutions to the Helmholtz equation obtained by a band-limited Fourier series method.
ISSN:0146-9592
1539-4794
DOI:10.1364/OL.19.001284