  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.

Optics