Remarks on the numerical evaluation of the Hankel transform
Journal Article
·
· Journal of the Optical Society of America, Part A: Optics and Image Science; (United States)
- Universita di Pavia, Dipartimento di Ingegneria Elettronica, Via Abbiategrasso 209, 27100 Pavia (Italy)
The method originally proposed by Siegman [Opt. Lett. 1, 13 (1977)] for evaluating numerically, the Hankel transform by fast-Fourier-transform techniques is reconsidered. A novel analytical form is found that permits a numerical computation of the Hankel transform with accuracy comparable to that of Siegman's approach without lower-end corrections; but for simplicity and numerical efficiency the original approach remains unsurpassed.
- DOE Contract Number:
- FG03-89ER14092
- OSTI ID:
- 5932492
- Journal Information:
- Journal of the Optical Society of America, Part A: Optics and Image Science; (United States), Journal Name: Journal of the Optical Society of America, Part A: Optics and Image Science; (United States) Vol. 10:9; ISSN 0740-3232; ISSN JOAOD6
- Country of Publication:
- United States
- Language:
- English
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661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BANACH SPACE
BEAM OPTICS
COHERENT RADIATION
EIGENFUNCTIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
FREDHOLM EQUATION
FUNCTIONS
HILBERT SPACE
INTEGRAL EQUATIONS
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LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
NORMAL-MODE ANALYSIS
RADIATIONS
SPACE
SPECTRAL DENSITY
SPECTRAL FUNCTIONS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BANACH SPACE
BEAM OPTICS
COHERENT RADIATION
EIGENFUNCTIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
FREDHOLM EQUATION
FUNCTIONS
HILBERT SPACE
INTEGRAL EQUATIONS
LASER RADIATION
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
NORMAL-MODE ANALYSIS
RADIATIONS
SPACE
SPECTRAL DENSITY
SPECTRAL FUNCTIONS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS