Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Optical microcavity characterization via resonance spectra and modes

Jonah Post1, Chunjiang He1, Corné Koks1,3, Rudi van Velzen1, Andrea Corazza2, Yannik L. Fontana2, Marcel Erbe2, Richard J. Warburton2, and Martin P. van Exter1

  • 1Huygens-Kamerlingh Onnes Laboratory, Leiden University, P.O. Box 9504, 2300 RA Leiden, The Netherlands
  • 2Department of Physics, Basel University, Klingelbergstrasse 82, 4056 Basel, Switzerland
  • 3Department of Electrical and Photonics Engineering, Technical University of Denmark, Ørsteds Plads 345A, DK-2800 Kgs. Lyngby, Denmark

Phys. Rev. A 112, 033537 – Published 29 September, 2025

DOI: https://doi.org/10.1103/y63l-zwr5

Abstract

This paper describes how resonance spectra and mode profiles can be used to characterize and quantify the mode-shaping effects in open-access plano-concave optical microcavities. The presented semi-analytic theory is based on the application of perturbation theory to the round-trip evolution of the optical field. It includes various mirror-shape and nonparaxial effects and extends the nonparaxial theory presented in [Exter et al., Phys. Rev. A 106, 013501 (2022)] and verified in [Koks et al., Phys. Rev. A 105, 063502 (2022)] to the common case of an anisotropic Gaussian mirror. The presented measurements and analyses of resonance spectra and mode profiles demonstrate how the different mode-shaping effects can be individually distinguished and quantified. Spin-orbit coupling, which is one of the nonparaxial effects, is prominently visible in the intriguing polarization patterns of the resonant modes, while polarization tomography yields the shape-induced birefringence and associated polarization splitting of the fundamental modes.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (45)

  1. C. Vallance, A. A. Trichet, D. James, P. R. Dolan, and J. M. Smith, Nanotechnology 27, 274003 (2016).
  2. L. C. Flatten, L. Weng, A. Branny, S. Johnson, P. R. Dolan, A. A. Trichet, B. D. Gerardot, and J. M. Smith, Appl. Phys. Lett. 112, 191105 (2018).
  3. D. Najer, I. Söllner, P. Sekatski, V. Dolique, M. C. Löbl, D. Riedel, R. Schott, S. Starosielec, S. R. Valentin, A. D. Wieck, N. Sangouard, A. Ludwig, and R. J. Warburton, Nature (London) 575, 622 (2019).
  4. D. Wang, H. Kelkar, D. Martin-Cano, D. Rattenbacher, A. Shkarin, T. Utikal, S. Götzinger, and V. Sandoghdar, Nat. Phys. 15, 483 (2019).
  5. T. Vogl, R. Lecamwasam, B. C. Buchler, Y. Lu, and P. K. Lam, ACS Photonics 6, 1955 (2019).
  6. S. Häußler, G. Bayer, R. Waltrich, N. Mendelson, C. Li, D. Hunger, I. Aharonovich, and A. Kubanek, Adv. Opt. Mater. 9, 2002218 (2021).
  7. M. Ruf, M. J. Weaver, S. B. van Dam, and R. Hanson, Phys. Rev. Appl. 15, 024049 (2021).
  8. K. J. Vahala, Nature (London) 424, 839 (2003).
  9. N. Tomm, A. Javadi, N. O. Antoniadis, D. Najer, M. C. Löbl, A. R. Korsch, R. Schott, S. R. Valentin, A. D. Wieck, A. Ludwig, and R. J. Warburton, Nat. Nanotechnol. 16, 399 (2021).
  10. I. Favero, S. Stapfner, D. Hunger, P. Paulitschke, J. Reichel, H. Lorenz, E. M. Weig, and K. Karrai, Opt. Express 17, 12813 (2009).
  11. S. Stapfner, L. Ost, D. Hunger, J. Reichel, I. Favero, and E. M. Weig, Appl. Phys. Lett. 102, 151910 (2013).
  12. N. E. Flowers-Jacobs, S. W. Hoch, J. C. Sankey, A. Kashkanova, A. M. Jayich, C. Deutsch, J. Reichel, and J. G. E. Harris, Appl. Phys. Lett. 101, 221109 (2012).
  13. Y. Fontana, R. Zifkin, E. Janitz, C. D. Rodríguez Rosenblueth, and L. Childress, Rev. Sci. Instrum. 92, 053906 (2021).
  14. M. Pallmann, T. Eichhorn, J. Benedikter, B. Casabone, T. Hümmer, and D. Hunger, APL Photonics 8, 046107 (2023).
  15. M. Fisicaro, M. Witlox, H. van der Meer, and W. Loffler, Rev. Sci. Instrum. 95, 033101 (2024).
  16. M. G. Raizen, R. J. Thompson, R. J. Brecha, H. J. Kimble, and H. J. Carmichael, Phys. Rev. Lett. 63, 240 (1989).
  17. Y. Zhu, D. J. Gauthier, S. E. Morin, Q. Wu, H. J. Carmichael, and T. W. Mossberg, Phys. Rev. Lett. 64, 2499 (1990).
  18. C. J. Hood, H. J. Kimble, and J. Ye, Phys. Rev. A 64, 033804 (2001).
  19. L. Greuter, S. Starosielec, D. Najer, A. Ludwig, L. Duempelmann, D. Rohner, and R. J. Warburton, Appl. Phys. Lett. 105, 121105 (2014).
  20. R. J. Barbour, P. A. Dalgarno, A. Curran, K. M. Nowak, H. J. Baker, D. R. Hall, N. G. Stoltz, P. M. Petroff, and R. J. Warburton, J. Appl. Phys. 110, 053107 (2011).
  21. S. Flågan, P. Maletinsky, R. Warburton, and D. Riedel, Optica 9, 1197 (2022).
  22. D. Kleckner, W. T. M. Irvine, S. S. R. Oemrawsingh, and D. Bouwmeester, Phys. Rev. A 81, 043814 (2010).
  23. J. Benedikter, T. Hümmer, M. Mader, B. Schlederer, J. Reichel, T. W. Hansch, and D. Hunger, New J. Phys. 17, 053051 (2015).
  24. M. Mader, J. Reichel, T. W. Hänsch, and D. Hunger, Nat. Commun. 6, 7249 (2015).
  25. M. Mader, J. Benedikter, L. Husel, T. W. Hänsch, and D. Hunger, ACS Photonics 9, 466 (2022).
  26. W. J. Hughes, T. H. Doherty, J. A. Blackmore, P. Horak, and J. F. Goodwin, Phys. Rev. A 109, 013524 (2024).
  27. M. P. van Exter, M. Wubs, E. Hissink, and C. Koks, Phys. Rev. A 106, 013501 (2022).
  28. C. Koks, F. B. Baalbergen, and M. P. van Exter, Phys. Rev. A 105, 063502 (2022).
  29. A. Siegman, Lasers (University Science Books, Mill Valley, CA, 1986).
  30. C. Koks and M. P. van Exter, Opt. Express 29, 6879 (2021).
  31. P. Yu and K. Luk, IEEE Trans. Microwave Theory Techn. 32, 641 (1984).
  32. J. Benedikter, T. Moosmayer, M. Mader, T. Hümmer, and D. Hunger, New J. Phys. 21, 103029 (2019).
  33. C. Koks and M. P. van Exter, Opt. Express 30, 700 (2022).
  34. J. Bennett, Meas. Sci. Technol. 3, 1119 (1992).
  35. D. Hunger, T. Steinmetz, Y. Colombe, C. Deutsch, T. W. Haensch, and J. Reichel, New J. Phys. 12, 065038 (2010).
  36. K. Y. Bliokh, F. J. Rodríguez-Fortuño, F. Nori, and A. V. Zayats, Nat. Photon. 9, 796 (2015).
  37. L. Davis, Phys. Rev. A 30, 3092 (1984).
  38. D. Hunger, C. Deutsch, R. J. Barbour, R. J. Warburton, and J. Reichel, AIP Adv. 2, 012119 (2012).
  39. D. Najer, M. Renggli, D. Riedel, S. Starosielec, and R. J. Warburton, Appl. Phys. Lett. 110, 011101 (2017).
  40. M. Bandres and J. Gutiérrez-Vega, J. Opt. Soc. Am. A 21, 873 (2004).
  41. K. Singh, N. Tabebordbar, A. Forbes, and A. Dudley, J. Opt. Soc. Am. A 37, C33 (2020).
  42. U. Fano, Phys. Rev. 124, 1866 (1961).
  43. W. Nasalski, Appl. Phys. B 115, 155 (2014).
  44. P. Yu and K. Luk, Electron. Lett. 19, 539 (1983).
  45. C. Koks and M. P. van Exter, Phys. Rev. A 109, 043523 (2024).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation