Abstract
Two basic aspects of the scattering action of elastic spheres small in terms of acoustic wavelengths are developed in Lord Rayleigh's Theory of Sound, 2nd ed., Vol. II: (1) The scattered field of a compressible, movable sphere expressed as the sum of a monopole and a dipole component (pp. 282–284), a solution that rightfully gave rise to the term “Rayleigh scattering” in the author's honor; (2) the contribution to the scattered field by a sphere's resonance of any order (pp. 284A–284D), a solution Rayleigh credits to Lamb, which was subsequently extended to other frequency ranges and to arbitrary scatterer configurations by P. W. Smith, Jr. [J. Acoust. Soc. Am. 34, 640–647 (1962)]. The underlying assumptions and the relation between these two formulations are examined. Finally, the physics of a few familiar scattering situations is explored in light of these results.
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