Email this article Optical Modes in Elliptical Microcavities for Single-Photon Sources
- Authors: Kazanov D.R1, Monakhov A.M1
-
Affiliations:
- Ioffe Institute
- Issue: Vol 117, No 5-6 (3) (2023)
- Pages: 414-419
- Section: Articles
- URL: https://journals.rcsi.science/0370-274X/article/view/145168
- DOI: https://doi.org/10.31857/S1234567823060046
- EDN: https://elibrary.ru/QSEJOG
- ID: 145168
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Abstract
A theory of optical modes in an elliptical microcavity has been developed using Mathieu functions in elliptical coordinates. A key difference from the circular case is the splitting of doubly degenerate modes. Split optical modes have been numerically calculated and their symmetry has been determined. A method has been proposed to choose the parameters of a cavity for a certain wavelength. The difference between the energies of optical modes in the cavity with metallic walls and in the dielectric cavity is no more than ~20%. The dispersion relations of optical modes show the possibility of degeneracy of modes with different symmetries, which allows the spectral and polarization filtering of radiation of single-photon sources and the fabrication of sources of multiply entangled states.
About the authors
D. R Kazanov
Ioffe Institute
Email: kazanovdr@gmail.com
194021, St. Petersburg, Russia
A. M Monakhov
Ioffe Institute
Author for correspondence.
Email: kazanovdr@gmail.com
194021, St. Petersburg, Russia
References
- M. Arcari, I. S'ollner, A. Javadi, S. L. Hansen, S. Mahmoodian, J. Liu, H. Thyrrestrup, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, Phys. Rev. Lett. 113, 093603 (2014).
- R. Uppu, F. T. Pedersen, Y. Wang, C. T. Olesen, C. Papon, X. Zhou, L. Midolo, S. Scholz, A. D. Wieck, A. Ludwig, and P. Lodahl, Sci. Adv. 6, 50 (2020).
- I. Friedler, C. Sauvan, J. P. Hugonin, P. Lalanne, J. Claudon, and J. M. Ger'ard, Opt. Express 17, 2095 (2009).
- М. А. Бобров, С. А. Блохин, Н. А. Малеев, А. Г. Кузьменков, А. А. Блохин, А. П. Васильев, Ю. А. Гусева, М. В. Рахлин, А. И. Галимов, Ю. М. Серов, С. И. Трошков, В. М. Устинов, А. А. Торопов, Письма в ЖЭТФ 116(9), 592 (2022).
- P. Senellart, G. Solomon, and A. White, Nat. Nanotechnol. 12, 1026 (2017).
- Y.-J. Wei, Y.-M. He, M.-C. Chen, Y.-N. Hu, Y. He, D. Wu, C. Schneider, M. Kamp, S. H¨o ing, C.-Y. Lu, and J.-W. Pan, Nano Lett. 14(11), 6515 (2014).
- H. Wang, Y.-M. He, T.-H. Chung et al. (Collaboration), Nat. Photon. 13, 770 (2019).
- U. M. Gu¨r, M. Mattes, S. Arslanagi'c, and N. Gregersen, Appl. Phys. Lett. 118, 061101 (2021).
- X. Chen, R. Su, J. Liu, J. Li, and X.-H. Wang, Photonics Research 10, 2066 (2022).
- B. Gayral, J. M. G'erard, B. Legrand, E. Costard, and V. Thierry-Mieg, Appl. Phys. Lett. 72, 1421 (1998).
- N. McLachlan, Theory and Application of Mathieu Functions, Oxford University Press, Oxford (1947).
- М. Абрамовиц, И. Стиган, Справочник по специальным функциям, Наука, М. (1979).
- Л. А. Вайнштейн, Электромагнитные волны, АСТ, М. (1988), 440 с.
