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Parker Medical Imaging Research

The Hankel Transform

The 2D Fourier transform is the essential concept for a wide range of topics in waves, optics, radar, acoustics, MRI, photography, and many important technologies that are in use everyday. An important subset for radial symmetric functions (such as many laser beams, lenses, and acoustic sources) is the Hankel transform of zero order, which simplifies the 2D Fourier transform for symmetric functions. Unfortunately, all the published pairs of Hankel Transforms were set into print long ago and in forms that are difficult to use and evaluate. To make these powerful transforms available, and in a form that can be readily searched, viewed, and ported into computational engines, we have created this website. It is hoped that these newly accessible transforms will be a catalyst for new discoveries and applications. Please visit this page for more information: