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THE ABEL‐FOURIER METHOD OF HANKEL TRANSFORMATION: APPLICATIONS TO SEISMIC DATA*
- Source: Geophysical Prospecting, Volume 34, Issue 4, Jul 1986, p. 545 - 568
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- 27 Apr 2006
Abstract
Abstract
The formal equivalency between a Hankel transform and an Abel transform followed by a Fourier transform is used as a basis for the computation of synthetic seismograms and for performing plane‐wave decomposition of both synthetic and field seismograms. The Abel‐Fourier method performs better for near‐offset or small ray‐parameter, although at greater computational effort than calculations based upon the asymptotic Hankel transform.