Abstract
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 limNln(TN/N)-() 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 () has a particularly simple form at extreme low and high frequencies. Namely (0)=const×2 with a slope given in terms of physical characteristics of the layers and ()=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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3358-3363 |
| Number of pages | 6 |
| Journal | Physical Review A |
| Volume | 31 |
| Issue number | 5 |
| DOIs | |
| State | Published - Jan 1 1985 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
Cite this
Transmission of acoustic waves in a random layered medium. / Baluni, Varouzhan; Willemsen, Jorge.
In: Physical Review A, Vol. 31, No. 5, 01.01.1985, p. 3358-3363.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Transmission of acoustic waves in a random layered medium
AU - Baluni, Varouzhan
AU - Willemsen, Jorge
PY - 1985/1/1
Y1 - 1985/1/1
N2 - 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 limNln(TN/N)-() 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 () has a particularly simple form at extreme low and high frequencies. Namely (0)=const×2 with a slope given in terms of physical characteristics of the layers and ()=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.
AB - 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 limNln(TN/N)-() 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 () has a particularly simple form at extreme low and high frequencies. Namely (0)=const×2 with a slope given in terms of physical characteristics of the layers and ()=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.
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U2 - 10.1103/PhysRevA.31.3358
DO - 10.1103/PhysRevA.31.3358
M3 - Article
AN - SCOPUS:0001198796
VL - 31
SP - 3358
EP - 3363
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 5
ER -