MATHEMATICS COLLOQUIUM
Speaker: Vadim Zharnitsky.
Title: Microdisk lasers, billiards, and closed orbits
in subriemannian geometry.
Affiliation: Lucent Technologies.
Date: Monday, 27 January 2003.
Place and Time: Room 102 - Love Building, 3:35-4:30 pm.
Refreshments: Room 204 - Love Building, 3:00 pm.
Abstract.
Microdisk lasers have been invented and developed at Bell Labs
over the past decade and the billiard model has been successfully
used
in designing the ``optimal'' cavity shape. We will show that
a new class of billiard domains possessing an isolated caustic, which
carries only periodic orbits, can be constructed using the methods
of subriemannian geometry.
We will also discuss some important implications of this construction
for
the microdisk lasers.
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