Geometrical theory of whispering-gallery modes
By Michael L. Gorodetsky, A. E. Fomin. IEEE Journal of Selected Topics in Quantum Electronics, 2005
144 citations recorded by the source corpus.
Using a quasi-classical approach, rather precise analytical approximations for the eigenfrequencies of whispering-gallery modes (WGMs) in convex axisymmetric bodies may be found. We use the eikonal method to analyze the limits of precision of quasi-classical approximation using, as a practical example, a spheroidal dielectric cavity. The series obtained for the calculation of eigenfrequencies is compared with the known series for a dielectric sphere, and with numerical calculations. We show how geometrical interpretation allows expansion of the method on arbitrarily-shaped axisymmetric bodies.
Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/8f14c9f274ba5e7314cbb3cb793f4e3f848693a8
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In Atomic and Molecular Physics, and Optics
- Tobias J. Kippenberg
- Michael L. Gorodetsky
- O. Arcizet
- P. Del’Haye
- Ronald Holzwarth
- Andrew M. Weiner
- Herre S. J. van der Zant
- Menno Poot
In Electrical and Electronic Engineering
- Tobias J. Kippenberg
- Michael L. Gorodetsky
- O. Arcizet
- P. Del’Haye
- Ronald Holzwarth
- Andrew M. Weiner
- Herre S. J. van der Zant
- Menno Poot
Citations in the corpus
- Frequency comb assisted diode laser spectroscopy for measurement of microcavity dispersion (2009, background): “As far as whispering gallery modes adjacent to the equatorial plane are concerned, toroids with large radius R and small radius r are very close to a spheroid with semi-axis a e R and with eigenfrequencie”