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Hooshyar MA, Lam TH, Razavy M. Inverse problem of the wave equation and the Schwinger approximation. J Acoust Soc Am. 2000;107(1):404-13doi: 10.1121/1.428312.
Hooshyar, M. A., Lam, T. H., & Razavy, M. (2000). Inverse problem of the wave equation and the Schwinger approximation. The Journal of the Acoustical Society of America, 107(1), 404-13. https://doi.org/10.1121/1.428312
Hooshyar, et al. "Inverse problem of the wave equation and the Schwinger approximation." The Journal of the Acoustical Society of America vol. 107,1 (2000): 404-13. doi: https://doi.org/10.1121/1.428312
Hooshyar MA, Lam TH, Razavy M. Inverse problem of the wave equation and the Schwinger approximation. J Acoust Soc Am. 2000 Jan;107(1):404-13. doi: 10.1121/1.428312. PMID: 10641649.
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J Acoust Soc Am. 2000 Jan;107(1):404-13. doi: 10.1121/1.428312.

Inverse problem of the wave equation and the Schwinger approximation.

The Journal of the Acoustical Society of America

Hooshyar, Lam, Razavy

Affiliations

  1. University of Texas at Dallas, Programs in Mathematical Sciences, Richardson 75083-0688, USA.

PMID: 10641649 DOI: 10.1121/1.428312

Abstract

A new method of profile inversion for acoustic waves propagating in a medium with spherical inhomogeneity based on the Schwinger variational method is presented. The wave equation of interest is transformed into a Schrodinger equation, so that the Born approximation and the new method could also be applied at high frequencies. It is shown that the new method is stable and is more accurate than the Born approximation. To illustrate the method, an exactly solvable analytical example is presented. Also numerical examples using synthetic data, with and without additive noise, are given and the corresponding inversion results and the stability of the method are studied.

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