Design of switches and beam splitters using chaotic cavities

We propose the construction of electromagnetic (or electronic) switches and beam splitters using chaotic two-dimensional multi-port waveguides. A prototype two-port waveguide is locally deformed in order to produce a ternary incomplete horseshoe proper of mixed phase space (chaotic regions surrounding islands of stability where motion is regular). Due to tunneling to the phase space stability islands the appearance of quasi-bound states (QBS) is induced. Then, we attach transversal ports to the waveguide on the deformation region in positions where the phase space structure is only slightly perturbed. We show how QBS can be guided out of the waveguide through the attached transversal ports giving rise to frequency selective switches and beam splitters.