Hankel Transform

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I would like to see added to Igor's analytic operations the href="http://mathworld.wolfram.com/HankelTransform.html">Hankel Transform.

This operation (of zero order, sometimes called the Fourier-Bessel Transform) is equivalent to a 2D Fourier Transform for radially symmetric functions. The potential benefits of its one-dimensionality are in speed and memory usage.

I apologize for the fragment posting to the General forum. The editing procedure in IgorExchange, particularly with images, is somewhat awkward.
Yes, an operation to compute a Hankel transform would be nice; it is on the wish list. Until such operation is added I recommend using the method described by D.P. Ghosh back in 1970.

A.G.
WaveMetrics, Inc.

June 7, 2012 at 10:01 am - Permalink