PMID: 22587166May 17, 2012Paper

Mode-resolved travel-time statistics for elastic rays in three-dimensional billiards

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A OrtegaT Gorin

Abstract

We consider the ray limit of propagating ultrasound waves in three-dimensional bodies made from a homogeneous, isotropic, elastic material. Using a Monte Carlo approach, we simulate the propagation and proliferation of elastic rays using realistic angle-dependent reflection coefficients, taking into account mode conversion and ray splitting. For a few simple geometries, we analyze the long-time equilibrium distribution, focusing on the energy ratio between compressional and shear waves. Finally, we study the travel time statistics, i.e., the distribution of the amount of time a given trajectory spends as a compressional wave, as compared to the total travel time. These results are intimately related to recent elastodynamics experiments on Coda-wave interferometry by Lobkis and Weaver [Phys. Rev. E 78, 066212 (2008)].

References

Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·E BogomolnyC Schmit
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J S HerschE J Heller
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P JacquodC W Beenakker
Feb 28, 2002·Physical Review Letters·Nicholas R Cerruti, Steven Tomsovic
Dec 31, 2005·Physical Review Letters·R SchäferT H Seligman
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T GorinR L Weaver
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eric LaroseBart van Tiggelen
May 10, 2008·Nature·Rachel Courtland
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Oleg I Lobkis, Richard L Weaver

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