Physics of the Solid State
Volumes and Issues
Photonic modes of dielectric Mobius resonator with one and two twists
Bochkarev M. E.1,2, Solodovchenko N. S.1,2, Samusev K.B.1,2, Limonov M.F.1,2
1Ioffe Institute, St. Petersburg, Russia
2ITMO University, St. Petersburg, Russia
Email: M.Limonov@mail.ioffe.ru

PDF
In this study, three types of dielectric resonators were created and investigated: a flat ring resonator and Mobius resonators with one and two twists. The resonators have the same rectangular cross-section and midline length, as well as the same permittivity. The centimeter-sized resonators were created on a 3D printer, and the extinction spectra were experimentally studied in the microwave range in an anechoic chamber. The main result of the study is the experimental demonstration of a half-period shift of longitudinal photon modes in the scattering spectrum of a Mobius resonator with one twist relative to the spectra of a flat ring, which is associated with the appearance of the Berry phase π, and the absence of a shift in the spectra of a Mobius resonator with two twists due to an additional phase incursion of 2π, corresponding to the resonance condition for the longitudinal modes of a flat ring. Keywords: Mobius resonator, ring resonator, Berry phase, longitudinal photonic modes.
  1. S. Tanda, T. Tsuneta, Y. Okajima, K. Inagaki, K. Yamaya, N. Hatakenaka. Nature 417, 6887, 397 (2002)
  2. E.L. Starostin, G.H.M. Van der Heijden. Nature Mater. 6, 8, 563 (2007)
  3. S. Pancharatnam. Proc. Indian Acad. Sci. 44, 5, 247 (1956)
  4. M.V. Berry. Proceed. R. Soc. Lond. A 392, 1802, 45 (1984)
  5. M.V. Berry. Nature 326, 6110, 277 (1987)
  6. H.P. Breuer, K. Dietz, M. Holthaus. Phys. Rev. A 47, 1, 725 (1993)
  7. Y.Q. Cai, G. Papini, W.R. Wood, S.R. Valluri. Quantum Optics 1, 1, 49 (1989)
  8. J. Wang, S. Valligatla, Y. Yin, L. Schwarz, M. Medina-Sanchez, S. Baunack, C.H. Lee, R. Thomale, S. Li, V.M. Fomin, L. Ma, O.G. Schmidt. Nature Photon. 17, 1, 120 (2022)
  9. M. Xiao, G. Ma, Z. Yang, P. Sheng, Z.Q. Zhang, C.T. Chan. Nature Phys. 11, 3, 240 (2015)
  10. J. Wang, S.-C. Zhang. Nature Mater. 16, 11, 1062 (2017)
  11. Y. Zhang, Y.-W. Tan, H.L. Stormer, P. Kim. Nature 438, 7065, 201(2005)
  12. D.P. Datta. Phys. Rev. D 48, 12, 5746 (1993)
  13. S. Tanda, T. Tsuneta, T. Toshima, T. Matsuura, M. Tsubota. J. Physique IV 131, 289 (2005)
  14. J. Gravesen, M. Willatzen. Phys. Rev. A 72, 3, 032108 (2005)
  15. Z. Li, L.R. Ram-Mohan. Phys. Rev. B 85, 19, 195438 (2012)
  16. N. Nishiguchi, M.N. Wybourne. J. Phys. Commun. 2, 8, 085002 (2018)
  17. S.O. Demokritov, A.A. Serga, V.E. Demidov, B. Hillebrands, M.P. Kostylev, B.A. Kalinikos. Nature 426, 6963, 159 (2003)
  18. H.S. Rzepa. Chem. Rev. 105, 10, 3697 (2005)
  19. V.M. Fomin, S. Kiravittaya, O.G. Schmidt. Phys. Rev. B 86, 19, 195421 (2012)
  20. Y. Yin, S. Li, V. Engemaier, E.S.G. Naz, S. Giudicatti, L. Ma, O.G. Schmidt. Laser Photon. Rev. 11, 2, 1600219 (2017)
  21. N. Solodovchenko, M. Sidorenko, T. Seidov, I. Popov, E. Nenasheva, K. Samusev, M. Limonov. Mater. Today 60, 69 (2022)
  22. A.P. Chetverikova, M.F. Limonov, M.S. Sidorenko, K.B. Samusev, N.S. Solodovchenko. PNFA 57, 101185 (2023)
  23. N. Solodovchenko, K. Samusev, M. Limonov. Phys. Rev. B 109, 7, 075131 (2024)
  24. N. Solodovchenko, M. Bochkarev, K. Samusev, M. Limonov. Nanophoton. 14, 18, 3043 (2025)
  25. M. Bochkarev, N. Solodovchenko, G. Chekmarev, A. Ermina, K. Samusev, M. Limonov. Phys. Rev. B 112, 8, L081102 (2025)
  26. M. Bochkarev, N. Solodovchenko, K. Samusev, M. Limonov. Mater. Today 80, 179 (2024)
  27. https://zetamix.fr/produit/filament-epsilon/. Access: Oct. 26, 2025
  28. G.C. Righini, Y. Dumeige, P. F'eron, M. Ferrari, G. Nunzi Conti, D. Ristic, S. Soria. La Rivista del Nuovo Cimento 34, 7, 435 (2011)
  29. M.L.M. Balistreri, D.J.W. Klunder, F.C. Blom, A. Driessen, J.P. Korterik, L. Kuipers, N.F. van Hulst. J. Optical Soc. Am. B 18, 4, 465 (2001)
  30. D.A. Baranov, K.B. Samusev, I.I. Shishkin, A.K. Samusev, P.A. Belov, A.A. Bogdanov. Optics Lett. 41, 4, 749 (2016)
  31. M.F. Limonov, M.V. Rybin, A.N. Poddubny, Y.S. Kivshar. Nature Photon. 11, 9, 543 (2017)
  32. M.F. Limonov. Adv. Opt. Photon. 13, 3, 703 (2021)
  33. M.I. Tribelsky, A.E. Miroshnichenko. Phys. Rev. A 93, 5, 053837 (2016)

Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.

Дата начала обработки статистических данных - 27 января 2016 г.

Publisher:

Ioffe Institute

Institute Officers:

Director: Sergei V. Ivanov

Contact us:

26 Polytekhnicheskaya, Saint Petersburg 194021, Russian Federation
Fax: +7 (812) 297 1017
Phone: +7 (812) 297 2245
E-mail: post@mail.ioffe.ru