Angular spectrum method: Difference between revisions

Revision as of 18:52, 27 October 2006

Revision as of 14:02, 28 October 2006

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The '''angular spectrum method''' is a technique for modeling the propagation of acoustic fields. Its mathematical origins lie in the field of [[Fourier Optics]]<ref>''Digital Picture Processing'', 2nd edition 1982, Azriel Rosenfeld, Avinash C. Kak, ISBN: 0125973020, Academic Press, Inc.</ref><ref>''Linear Systems, Fourier Transforms, and Optics'' (Wiley Series in Pure and Applied Optics) Jack D. Gaskill </ref><ref>''Introduction to Fourier Optics'', Joseph W. Goodman.</ref> but it has been applied extensively in the field of [[ultrasound]]. The technique can predict an acoustic pressure field distribution over a plane, based upon knowledge of the pressure field distribution at a parallel plane. Predictions in both the forward and backward propagation directions are possible.

Modeling the diffraction of a CW (continuous wave), monochromatic (single frequency) field involves the following steps:

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Backward propagation predictions can be used to analyze the surface vibration patterns of acoustic radiators such as [[ultrasonic]] [[transducers]]<ref>''Transducer Characterization using the Angular Spectrum Method'', M.E. Schafer and P.A. Lewin, J. Acoust. Soc. Am. 85:5, 2202-2214, 1989.</ref>. Forward propagation can be used to predict the influence of inhomogeneous, nonlinear media on acoustic transducer performance<ref>''Prediction of ultrasonic field propagation through layered media using the extended angular spectrum method'', Chris Vecchio, Mark Schafer, Peter Lewin, Ultrasound Med Biol. 1994;20(7):611-22.</ref>.

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