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- W2001639130 abstract "Six methods for the numerical calculation of zero-order Hankel transforms of oscillating functions were evaluated. One method based on Filon quadrature philosophy, two published projection-slice methods, and a third projection-slice method based on a new approach to computation of the Abel transform were implemented; alternative versions of two of the projection-slice methods were derived for more accurate approximations in the projection step. These six algorithms were tested with an oscillating sweep signal and with the calculation of a three-dimensional diffraction-limited point-spread function of a fluorescence microscope. We found that the Filon quadrature method is highly accurate but also computationally demanding. The projection-slice methods, in particular the new one that we derived, offer an excellent compromise between accuracy and computational efficiency." @default.
- W2001639130 created "2016-06-24" @default.
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- W2001639130 date "2003-04-01" @default.
- W2001639130 modified "2023-10-14" @default.
- W2001639130 title "Numerical evaluation of Hankel transforms for oscillating functions" @default.
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- W2001639130 doi "https://doi.org/10.1364/josaa.20.000621" @default.
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