Circular dielectric cavities are key components for the construction of optic microresonators and microlasers. They are one of very few cases where the transcendental equations for complex eigenmodes (resonances) of an open system (dielectric cavity) can be found analytically in an exact manner. The behaviour of those eigenvalues in the small opening limit, i.e. when the refractive index of the cavity goes to infinity, is analysed. The analysis allows one to clearly distinguish between internal (Feshbach) and external (shape) resonance modes for both TM and TE polarizations. As a result, unambiguous azimuthal and radial modal indices are assigned to each internal and external resonance mode.
|Title of host publication||2009 11th International Conference on Transparent Optical Networks|
|Number of pages||4|
|Publication status||Published - 31 Jul 2009|
|Name||IEEE Conference Proceedings|
Dettmann, C. P., Morozov, G. V., Sieber, M., & Waalkens, H. (2009). Systematization of all resonance modes in circular dielectric cavities. In 2009 11th International Conference on Transparent Optical Networks [Tu.C4.6] (IEEE Conference Proceedings). IEEE. https://doi.org/10.1109/ICTON.2009.5185122