Unidirectional resonance modes supported by secondary islands in a microcavity comprised of two half-ellipses

We propose a simple and robust mechanism to achieve unidirectional emission in a microcavity comprised of two half-ellipses. The microcavity has two geometrical parameters, two eccentricities, which permit a control of the directional emissions. For the microcavity with two small eccentricities, the positions of secondary islands near primary islands in the survival probability distributions determine the directionality of emissions. We obtain the optimized values of the eccentricities for unidirectional emission.

[1]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[2]  Eric J. Heller,et al.  Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits , 1984 .

[3]  A. Stone,et al.  Ray and wave chaos in asymmetric resonant optical cavities , 1997, Nature.

[4]  Cho,et al.  High-power directional emission from microlasers with chaotic resonators , 1998, Science.

[5]  M. Hentschel,et al.  Fresnel laws at curved dielectric interfaces of microresonators. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Richard K. Chang,et al.  Unidirectional lasing from InGaN multiple-quantum-well spiral-shaped micropillars , 2003 .

[7]  P. Davis,et al.  Stable oscillations of a spatially chaotic wave function in a microstadium laser. , 2003, Physical review letters.

[8]  M. S. Kurdoglyan,et al.  Unidirectional lasing from a microcavity with a rounded isosceles triangle shape. , 2004, Optics letters.

[9]  Correcting ray optics at curved dielectric microresonator interfaces: phase-space unification of Fresnel filtering and the Goos-Hänchen shift. , 2006, Physical review letters.

[10]  Sunghwan Rim,et al.  Continuous wave operation of a spiral-shaped microcavity laser , 2008 .

[11]  Chil-Min Kim,et al.  Resonances near the classical separatrix of a weakly deformed circular microcavity. , 2008, Physical review letters.

[12]  Jan Wiersig,et al.  Combining directional light output and ultralow loss in deformed microdisks. , 2007, Physical review letters.