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.
© 1993 Optical Society of America
Original Manuscript: October 13, 1992
Manuscript Accepted: February 1, 1993
Published: September 1, 1993
A. Agnesi, G. C. Reali, G. Patrini, and A. Tomaselli, "Numerical evaluation of the Hankel transform: remarks," J. Opt. Soc. Am. A 10, 1872-1874 (1993)