Physics – General Physics
Scientific paper
May 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrva..31.3358b&link_type=abstract
Physical Review A (General Physics), Volume 31, Issue 5, May 1985, pp.3358-3363
Physics
General Physics
54
General Linear Acoustics, Acoustical Properties Of Solids
Scientific paper
The transmission of acoustic waves through a sequence of alternating layers with random thicknesses but otherwise fixed characteristics is studied by means of the transfer-matrix formalism of one-dimensional disordered chains. The law limN-->∞ln(||TN||/N)≡-λ(ω) of the exponential decay of the transmission coefficient TN as a function of the number (2N) of layers is determined in a weak- (strong-) disorder regime for an arbitrary (uniform) distribution of layer thicknesses. The localization constant λ(ω) has a particularly simple form at extreme low and high frequencies ω. Namely λ(ω-->0)=const×ω2 with a slope given in terms of physical characteristics of the layers and λ(ω-->∞)=const defined by a transmission coefficient of a single interface. The predictions are tested by Monte Carlo simulations of a simple model with characteristics of certain rocks. For all frequencies beyond the weak-strong disorder turnover region discrepancies between theoretical and numerical results are merely a few percent.
Baluni Varouzhan
Willemsen Jorge
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