Microdisk lasers have been invented and developed over the past decade and the billiard model has been successfully used in designing the "optimal" resonator shape. We will show that a new class of billiard tables possessing an isolated caustic, which carries only periodic orbits, can be obtained by studying a certain nonholonomic system, which naturally arises in the billiard problem.

We will also describe some important implications of this construction for the microdisk lasers, including some results of the wave equation simulations. This work is being done in collaboration with Y. Baryshnikov (Lucent) and P. Heider (University of Koln).