Abstract

We investigate the fast computation of Hankel transforms on a set of nonuniformly spaced sample points. Previous fast Hankel transform (FHT) algorithms require the sample points to distribute uniformly in a logarithmic scale. This limitation is removed here by the use of the newly developed, to our knowledge, nonuniform fast Fourier transform algorithm. The resulting nonuniform FHT algorithm has a much higher accuracy than the previous FHT algorithms and provides important flexibility in many applications.

© 1999 Optical Society of America

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Corrections

Qing Huo Liu and Zhong Qing Zhang, "Nonuniform fast Hankel transform (NUFHT) algorithm: errata," Appl. Opt. 39, 1842-1842 (2000)
http://proxy.osapublishing.org/ao/abstract.cfm?uri=ao-39-11-1842

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