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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 |
Description
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.