Ms. Kushwaha et B. Djafarirouhani, COMPLETE ACOUSTIC STOP BANDS FOR CUBIC ARRAYS OF SPHERICAL LIQUID BALLOONS, Journal of applied physics, 80(6), 1996, pp. 3191-3195
We present theoretical results for acoustic band structures for cubic
arrays of spherical water balloons surrounded by a mercury. host. Mult
iple, complete acoustic band gaps (i.e., stop bands) are found for the
face-centered cubic (fcc), body-centered cubic (bcc), and simple-cubi
c (sc) lattices. These stop bands are widest for a volume fraction of
similar to 24% and the corresponding gap/midgap ratios are about 0.83,
0.77, and 0.62, respectively, for fee, bcc, and sc lattices. We stres
s that such a simple three-dimensional (3D) inhomogeneous system of li
quids exhibits the largest stop bands ever reported for 3D elastic as
well as for dielectric composites. For mercury balloons surrounded by
water the gaps obtained are surprisingly small. (C) 1996 American Inst
itute of Physics.