Microresonators

    Microresonators are devices that trap light by total internal reflection, and can be used to construct micron sized lasers. Here we combine the very high Q-values (ie lifetimes) of a circular resonator with directivity obtained by breaking the symmetry with a small or pointlike scatterer to optimise the properties of such lasers. The equations can also describe other circular resonators a little larger than the wavelength, such as microwaves on scales of centimetres. One unexpected feature of the solutions is that the optimal parameters are well described in the ray approximation. Other relevant topics are Integrable systems including other studies of circular geometries, Open systems in which there is escape, and Semiconductor billiards in which there are also connections with experiment, but the dynamics is of electrons rather than photons.

  1. Directional emission from an optical microdisk resonator with a point scatterer C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, EPL, 82 34002 (2008). pdf arxiv
  2. Internal and external resonances of dielectric disks, C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, EPL, 87, 34003 (2009). pdf arxiv
  3. Unidirectional Emission from Circular Dielectric Microresonators with a Point Scatterer, C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, Phys. Rev. A, 80, 063813 (2009). [Selected to appear in the PRA "Kaleidoscope"] pdf arxiv poster
  4. Proceedings: Far-field emission pattern of a dielectric circular microresonator with a point scatterer, C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, Ninth International Conference on Transparent Optical Networks (ICTON 2007) 4 197-200 (2007)
  5. Proceedings: TM and TE directional modes of an optical microdisk resonator with a point scatterer, C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, Tenth International Conference on Transparent Optical Networks (ICTON 2008) 4, 65-68 (2008). pdf
  6. Proceedings: Optical microdisk resonator with a small but finite size scatterer, C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, Third International Conference on Mathematical Modelling of Wave Phenomena (MMWP08), 287-289 (2008). pdf
  7. Proceedings: Systematization of All Resonance Modes in Circular Dielectric Cavities, C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, Eleventh International Conference on Transparent Optical Networks (ICTON 2009) 763-766 (2009). pdf
  8. Proceedings: Microdisk resonators with two point scatterers, C. P. Dettmann, G. V. Morozov, M. M. A. Sieber and H. Waalkens, Thirteenth International Conference on Transparent Optical Networks (ICTON 2011) 462-464 (2011). pdf

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