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Zharnitsky's Colloquium

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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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Last modified: Thursday January 23rd, 2003