  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.
