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 with that of Siegman’s approach without lower-end corrections; but for simplicity and numerical efficiency the original approach remains unsurpassed.
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Agnesi et al. (1993) studied this question.
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