Computation of the Hankel transform using projections
Oppenheim, Alan V.
Frisk, George V.
Martinez, David R.
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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.
Also published as: Journal of the Acoustical Society of America 68 (1980): 523-529
Suggested CitationOppenheim, 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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