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    Computation of the Hankel transform using projections

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    WHOI 81-19.pdf (5.133Mb)
    Date
    1981-04
    Author
    Oppenheim, Alan V.  Concept link
    Frisk, George V.  Concept link
    Martinez, David R.  Concept link
    Metadata
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    Citable URI
    https://hdl.handle.net/1912/10239
    DOI
    10.1575/1912/10239
    Keyword
     Hankel functions; Fourier analysis; Fourier transformations 
    Abstract
    In this paper two new algorithms for computing an nth‐order Hankel transform are proposed. The algorithms are based on characterizing a circularly symmetric function and its two‐dimensional Fourier transform by a radial section and interpreting the Hankel transform as the relationship between the radial section in the two domains. By utilizing the property that the projection of a two‐dimensional function in one domain transforms to a radial section in the two‐dimensional Fourier transform or inverse Fourier transform domain, several efficient procedures for computing the Hankel transform exploiting the one‐dimensional FFT algorithm are suggested.
    Description
    Also published as: Journal of the Acoustical Society of America 68 (1980): 523-529
    Collections
    • Applied Ocean Physics and Engineering (AOP&E)
    • WHOI Technical Reports
    Suggested Citation
    Oppenheim, A. V., Frisk, G. V., & Martinez, D. R. (1981). Computation of the Hankel transform using projections. Woods Hole Oceanographic Institution. https://doi.org/10.1575/1912/10239
     

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