### 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 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A*,

*31*(5), 3358-3363. https://doi.org/10.1103/PhysRevA.31.3358

**Transmission of acoustic waves in a random layered medium.** / Baluni, Varouzhan; Willemsen, Jorge.

Research output: Contribution to journal › Article

*Physical Review A*, vol. 31, no. 5, pp. 3358-3363. https://doi.org/10.1103/PhysRevA.31.3358

}

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.

UR - http://www.scopus.com/inward/record.url?scp=0001198796&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001198796&partnerID=8YFLogxK

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 -