Systematization of all resonance modes in circular dielectric cavities

C.P. Dettmann, G.V. Morozov, M. Sieber, H. Waalkens

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.
Original languageEnglish
Title of host publication2009 11th International Conference on Transparent Optical Networks
PublisherIEEE
Number of pages4
ISBN (Electronic)9781424448272
ISBN (Print)9781424448258
DOIs
Publication statusPublished - 31 Jul 2009

Publication series

NameIEEE Conference Proceedings
PublisherIEEE
ISSN (Print)2162-7339

Fingerprint

cavities
infinity
eigenvalues
optics
refractivity
polarization

Cite this

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
Dettmann, C.P. ; Morozov, G.V. ; Sieber, M. ; Waalkens, H. / Systematization of all resonance modes in circular dielectric cavities. 2009 11th International Conference on Transparent Optical Networks. IEEE, 2009. (IEEE Conference Proceedings).
@inproceedings{0ad21d7b1d2f4dce924dfdab03df8857,
title = "Systematization of all resonance modes in circular dielectric cavities",
abstract = "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.",
author = "C.P. Dettmann and G.V. Morozov and M. Sieber and H. Waalkens",
year = "2009",
month = "7",
day = "31",
doi = "10.1109/ICTON.2009.5185122",
language = "English",
isbn = "9781424448258",
series = "IEEE Conference Proceedings",
publisher = "IEEE",
booktitle = "2009 11th International Conference on Transparent Optical Networks",
address = "United States",

}

Dettmann, CP, Morozov, GV, 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

Systematization of all resonance modes in circular dielectric cavities. / Dettmann, C.P.; Morozov, G.V.; Sieber, M.; Waalkens, H.

2009 11th International Conference on Transparent Optical Networks. IEEE, 2009. Tu.C4.6 (IEEE Conference Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Systematization of all resonance modes in circular dielectric cavities

AU - Dettmann, C.P.

AU - Morozov, G.V.

AU - Sieber, M.

AU - Waalkens, H.

PY - 2009/7/31

Y1 - 2009/7/31

N2 - 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.

AB - 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.

U2 - 10.1109/ICTON.2009.5185122

DO - 10.1109/ICTON.2009.5185122

M3 - Conference contribution

SN - 9781424448258

T3 - IEEE Conference Proceedings

BT - 2009 11th International Conference on Transparent Optical Networks

PB - IEEE

ER -

Dettmann CP, Morozov GV, Sieber M, Waalkens H. Systematization of all resonance modes in circular dielectric cavities. In 2009 11th International Conference on Transparent Optical Networks. IEEE. 2009. Tu.C4.6. (IEEE Conference Proceedings). https://doi.org/10.1109/ICTON.2009.5185122