Abstract
This paper gives a comparison of acoustic tomograms based on the wave equations using the Born and Rytov approximations. The comparisons are based on the distortions in the reconstructions using these two methods. It is shown that when a large forward scattering component exists that tomograms based on Born’s approximation are greatly in error. Rytov’s method has a wider range of validity, in practice, but suffers from the problems associated with the determination of the phase of the scattered wave.
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References
M. Kaveh, R. K. Mueller and R. D. Iverson, Ultrasonic tomography based on perturbation solutions of the wave equation, Computer Graphics and Image Processing, 9: 105 (1979).
R. K. Mueller, M. Kaveh and G. Wade, Reconstructive tomography and applications to ultrasonics, IEEE Proceedings, 67: 567 (1979).
M. Kaveh, R. K. Mueller, R. Rylander, T. R. Coulter and M. Soumekh, Experimental results in ultrasonic diffraction tomography, in: “Acoustical Imaging, Vol. 9,” K. Wang, ed., Plenum, New York (1980).
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P. M. Morse and K. U. Ingard, “Theoretical Acoustics”, McGraw-Hill, New York (1968).
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© 1982 Plenum Press, New York
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Kaveh, M., Soumekh, M., Mueller, R.K. (1982). A Comparison of Born and Rytov Approximations in Acoustic Tomography. In: Powers, J.P. (eds) Acoustical Imaging. Acoustical Imaging, vol 11. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1137-9_21
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DOI: https://doi.org/10.1007/978-1-4684-1137-9_21
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-1139-3
Online ISBN: 978-1-4684-1137-9
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