Modeling time‐reversal focusing in a multiple scattering medium

2008 ◽  
Vol 123 (5) ◽  
pp. 3341-3341
Author(s):  
Kevin J. Haworth ◽  
Jeffrey B. Fowlkes ◽  
Paul L. Carson ◽  
Oliver D. Kripfgans
Keyword(s):  
Multiple Scattering ◽  
Time Reversal ◽  
Scattering Medium

Acoustical imaging through a multiple scattering medium using a time-reversal mirror

2000 ◽  
Vol 107 (2) ◽  
pp. L7-L12 ◽  
Author(s):  
Philippe Roux ◽  
Arnaud Derode ◽  
Aymeric Peyre ◽  
Arnaud Tourin ◽  
Mathias Fink
Keyword(s):  
Multiple Scattering ◽  
Time Reversal ◽  
Scattering Medium ◽  
Acoustical Imaging ◽  
Time Reversal Mirror

scholarly journals Unified double- and single-sided homogeneous Green’s function representations

2016 ◽  
Vol 472 (2190) ◽  
pp. 20160162 ◽  
Author(s):  
Kees Wapenaar ◽  
Joost van der Neut ◽  
Evert Slob
Keyword(s):  
Green’S Function ◽  
Multiple Scattering ◽  
Green's Function ◽  
Time Reversal ◽  
Wave Theory ◽  
Boundary Integral ◽  
Open Boundary ◽  
Quantum Mechanical ◽  
Holographic Imaging ◽  
Scattering Time

In wave theory, the homogeneous Green’s function consists of the impulse response to a point source, minus its time-reversal. It can be represented by a closed boundary integral. In many practical situations, the closed boundary integral needs to be approximated by an open boundary integral because the medium of interest is often accessible from one side only. The inherent approximations are acceptable as long as the effects of multiple scattering are negligible. However, in case of strongly inhomogeneous media, the effects of multiple scattering can be severe. We derive double- and single-sided homogeneous Green’s function representations. The single-sided representation applies to situations where the medium can be accessed from one side only. It correctly handles multiple scattering. It employs a focusing function instead of the backward propagating Green’s function in the classical (double-sided) representation. When reflection measurements are available at the accessible boundary of the medium, the focusing function can be retrieved from these measurements. Throughout the paper, we use a unified notation which applies to acoustic, quantum-mechanical, electromagnetic and elastodynamic waves. We foresee many interesting applications of the unified single-sided homogeneous Green’s function representation in holographic imaging and inverse scattering, time-reversed wave field propagation and interferometric Green’s function retrieval.

scholarly journals Intensity Distributions of Waves Transmitted through a Multiple Scattering Medium

1995 ◽  
Vol 74 (14) ◽  
pp. 2674-2677 ◽  
Author(s):  
Th. M. Nieuwenhuizen ◽  
M. C. W. van Rossum
Keyword(s):  
Multiple Scattering ◽  
Scattering Medium
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