This is the first of two papers which present the fundamental concepts and terminology of acoustical scattering theory in a manner suitable for use by those involved in ultrasonic tissue characterization. This first paper deals with scattering by single objects and the second, which will appear in a future issue, with scattering by collection of objects.
General techniques may be found in MorseP.FeshbachH., Methods of Theoretical Physics, Vol. II, Chapt. 11 (McGraw-Hill, New York, 1953); MorseP. and IngardK., Theoretical Acoustics, Chapt. 8 (McGraw-Hill, New York, NY 1968).
2.
Some recent reviews directed to ultrasonic scattering in tissue are NicholasD., in Recent Advances in Ultrasound in Biomedicine, Vol. 1, WhiteD. N., ed. (Research Studies Press, Forest Grove, Oregon, 1977); Chivers, R. C., Ultrasound Med. Biology 3, 1–13 (1977).
3.
A number of special results may be found in BowmanJ. J.SeniorT. B. A.UslenghiP. L. E., Electromagnetic and Acoustic Scattering by Simple Shapes (John Wiley & Sons, New York, NY1969).
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See, e. g., LandauL. D.LifshitzE. M., Fluid Mechanics, Sect. 15 (Pergamon Press, London, U. K.1959).
5.
The inverse Born approximation has been recently discussed in VezzettiD. J. and AksS. Ø., Ultrasonic Imaging1, 333–345 (1979). More general inverse problems are discussed in ChadanK. and SabatierP. E., Inverse Problems in Quantum Scattering Theory (Springer-Verlag, New York, NY 1977).
6.
SommerfeldA., Partial Differential Equations of Physics, Sect. 28 (Academic Press, New York, NY1964).
7.
MottN. F.MasseyH. S. W., The Theory of Atomic Collisions, 3rd ed., Chapt. II (Oxford, U. K.1965).
