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Applied Math Seminar
Fall Quarter 2006
3:15 p.m.
Sloan Mathematics Corner
Building 380, Room 380-C
Friday, October 27, 2006
Stanislas Molchanov
Mathematics, University of North Carolina at Charlotte
The slowing down of the light in finite slabs of
periodic media
Abstract:
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If the incident wave package (pulse) has a spectrum distributed in the
neighbourhood of the specific singular frequency omega
sub zero for which the dispersion relation of the periodic medium is
very flat, the corresponfind group velocity is small. We
will discuss the following problems:
a) How to realize the flat dispersion relation using, in particular, the
periodic quantum graphs?
b) How to take into the account the reflection of the waves from the
finite slab of the medium?
c) What is the influence of the random noises for the different
locations of omega sub zero inside the optical band?
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