Design of Microlasers and Beam Splitters using chaotic ray dynamics

Abstract. We consider chaotic waveguides formed by single or multiple 2D \textit{chaotic cavities} connected to leads. The cavities are chaotic in the sense that the ray/particle dynamics within them is chaotic. Specifically the phase space is mixed, with chaotic regions surrounding stable islands where motion is regular. Stable islands are inaccessible to the incoming rays/particles. In contrast, incoming plane waves can \textit{dynamically tunnel} into them at a certain set of discrete values of frequency/energy. The support of the corresponding quasi-bound state is along the trajectories of periodic orbits trapped within the cavity. We take advantage of this difference in the ray/wave behavior to demonstrate how chaotic waveguides, electromagnetic or electronic, can be used to design beam splitters and microlasers[1]. We also present some preliminary experimental results in a microwave realization of a chaotic waveguide. \newline \newline [1] J. A. M\'{e}dez-Berm\'{u}dez, G. A. Luna-Acosta, P. Seba, and K. N. Pichugin, Phys. Rev. B \textbf{67}, 161104(R) (2003).