Jm. Ho, MONOSTATIC AND BISTATIC RAY ACOUSTIC SCATTERING BY SUBMERGED ELASTIC SPHERICAL-SHELLS, The Journal of the Acoustical Society of America, 95(3), 1994, pp. 1264-1273
This paper applies uniform ray asymptotics to plane-wave far-field sca
ttering by submerged thin elastic spherical shells based on an earlier
study [J. M. Ho and L. B. Felsen, J. Acoust. Sec. Am. 88, 2389-2414 (
1990)]. It also performs numerical implementation to clarify the ray s
ynthesis accuracy and to examine the constituent waves and fields. Spe
cifically, in addition to the frequency response, the scattering patte
rn is also evaluated which demonstrates the connection between bistati
c (regular) and backscattering (axial focusing). It is found that the
major contribution to the total scattered field is from specular refle
ction, a supersonic compressional wave, and their interaction effect w
hen adjacent, plus a creeping wave field in the forward scattering ran
ge-much the same as with the cylindrical shell prototype [J. M. Ho, J.
Acoust. Sec. Am. 94, 2936-2946 (1993)], save from the spherical focus
ing of the shell-guided waves here. These wave objects together reprod
uce the scattering signature, as generated by the exact normal-mode se
ries solution, very accurately for ka greater than or equal to 5 or so
.