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Time reversal in random media Time reversal in random media -- Self-averaging, superresolution and duality
PDE Seminar| Speaker: | Albert Fannjiang,, UC Davis |
| Location: | 693 Kerr |
| Start time: | Thu, Nov 18 2004, 1:40PM |
We review recent progress of mathematical analysis of time reversal of waves in randomly heterogeneous media. Time reversal has been a hot topic because lots of new possibilities have been demonstrated experimentally in laboratories and nature environments (mostly with the sound waves). One of the most counterintuitive effects is that the presence of a strongly scattering medium can greatly reduce instead of broadening, the time-reversed focal spot size which can be much smaller than the one in the homogeneous medium. This is called superresolution. We will discuss the mathematical results associated with superresolution and the related issues of self-averaging and duality in random media.