Europhys. Lett.
Volume 74, Number 4, May 2006
Page(s) 630 - 636
Section Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
Published online 05 April 2006
Europhys. Lett., 74 (4), pp. 630-636 (2006)
DOI: 10.1209/epl/i2005-10568-1

The coherent backscattering effect for moving scatterers

R. Snieder

Center for Wave Phenomena and Department of Geophysics Colorado School of Mines, Golden, CO 80401-1887, USA

received 20 October 2005; accepted in final form 15 March 2006
published online 5 April 2006

The constructive interference of backscattered waves that propagate along the same path in opposite directions doubles the intensity of these waves. When the scatterers move during wave propagation, the enhancement factor is reduced from 2 to a lower value. I derive the enhancement factor for coherent backscattering under the assumption that the scatterers move independently with a constant velocity. The resulting enhancement value depends exponentially on $\langle v^2 \rangle^{1/2} t /\lambda$, which is the ratio of the root-mean-square displacement of the scatterers during the wave propagation to the wavelength, and on the number of scatterers encountered.

42.25.Bs - Wave propagation, transmission and absorption.
42.25.Fx - Diffraction and scattering.
43.20.+g - General linear acoustics.

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