The elementary scattering theory of Rayleigh and Born is extended to account for effects of finite absorption and of sample geometry including boundary refraction. Examples of the procedure are given for several scatterer configurations and results compared with those of the Rayleigh-Born procedure. It is shown that for a realistic choice of tissue parameters these effects modify the Rayleigh-Born results by factors of the order of 10 percent or less provided observations are made over a suitably limited range of angles about the backward direction.
WaagR.LernerR.GramiakR., in Ultrasonic Tissue Characterization, LinzerM., ed., NBS Publication 453, pp. 213–228 (U. S. Government Printing Office, Washington, D. C., 1976).
2.
LeeP.WaagR.HunterL., J. Acoust. Soc. Amer., 63, 600–606 (1978).
3.
ChiversR.HillC.NicholasD., in Proceedings of the 2nd World Congress on Ultrasonics in Medicine, De VliegerM.WhiteD. N.McCreadyV. R., eds., pp. 300–303 (Excerpta MedicaAmsterdam, 1974).
4.
ChiversR., Ultrasound Med. Biol., 3, 1–13 (1977).
5.
MorseP.FeshbachH., Methods of Theoretical Physics, Part II, Chap. 9 (McGraw-Hill, New York, 1953).
6.
PaulD., J. Acoust. Soc. Amer., 29, 1102–1109 (1957). See also Baños, A., Dipole Radiation in the Presence of a Conducting Half-Space (Pergamon Press, New York, 1966).
7.
ChiversR.ParryR., J. Acoust. Soc. Amer., 63, 940–953 (1978) and Fry, W. and Dunn, F., in Physical Techniques in Biological Research, W. L. Nastuk, ed., Vol. 4., pp. 261-394 (Academic Press, New York, 1962).
