Abstract
Using topological classical considerations (Poincar\`{e} Maps) the appearance of ``bow-tie''-shaped resonances is predicted for certain types of waveguides. The geometry of such waveguides is chosen to yield mixed chaotic dymnamics. Then, based on resonance effects, we propose the construction of directional emission microlasers using {\it open} chaotic semiconductor resonators of high refractive index.
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