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Imaging in Random Waveguides I

Introductory Workshop on Inverse Problems and Applications August 23, 2010 - August 27, 2010

August 25, 2010 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Liliana Borcea (Rice University)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC


Abstract I will discuss the problem of imaging sources/scatterers in random waveguides using measurements of the acoustic pressure field recorded at a remote array of sensors, over some time window. By random waveguides we mean that the wave speed has rapid fluctuations, that cause wave scattering and a significant loss of coherence of the wavefield at the array. I will present an asymptotic theory of wave propagation in such waveguides developed by W. Kohler, G. Papanicolaou and J. Garnier. Then, I will explain how we have used this theory to develop robust imaging methods in random waveguides. In particular, I will present a novel incoherent imaging approach, based on a a special form of transport equations arising in the theory mentioned above, to determine in a statistically stable manner the location of sources in the waveguide and statistical information about the wave speed fluctuations.
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