Abstract

An analytical form is presented that provides a clear and computationally efficient algorithm for numerically evaluating the Hankel transform of order zero by fast-Fourier-transform techniques.

© 1995 Optical Society of America

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References

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  1. A. Agnesi, G. C. Reali, G. Patrini, A. Tomaselli, “Numerical evaluation of the Hankel transform: remarks,” J. Opt. Soc. Am. A 10, 1872–1874 (1993).
    [CrossRef]

1993 (1)

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Equations (3)

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g ( ρ ) = 2 π 0 f ( r ) J 0 ( 2 π r ρ ) r d r ,
Φ ( x ) = - f ( x 2 + y 2 ) d y .
F { Φ } = - f ( x 2 + y 2 ) exp ( i 2 π x ρ ) d y d x = g ( ρ ) ,

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