OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 11 — Jun. 2, 2014
  • pp: 13507–13514

Generalized full-vector multi-mode matching analysis of whispering gallery microcavities

Xuan Du, Serge Vincent, Mathieu Faucher, Marie-Josée Picard, and Tao Lu  »View Author Affiliations


Optics Express, Vol. 22, Issue 11, pp. 13507-13514 (2014)
http://dx.doi.org/10.1364/OE.22.013507


View Full Text Article

Acrobat PDF (1169 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We outline a full-vectorial three-dimensional multi-mode matching technique in a cylindrical coordinate system that addresses the mutual coupling among multiple modes co-propagating in a perturbed whispering gallery mode microcavity. In addition to its superior accuracy in respect to our previously implemented single-mode matching technique, this current technique is suitable for modelling waveguide-to-cavity coupling where the influence of multi-mode coupling is non-negligible. Using this methodology, a robust scheme for hybrid integration of a microcavity onto a silicon-on-insulator platform is proposed.

© 2014 Optical Society of America

OCIS Codes
(040.1880) Detectors : Detection
(230.3990) Optical devices : Micro-optical devices
(230.5750) Optical devices : Resonators

ToC Category:
Integrated Optics

History
Original Manuscript: February 3, 2014
Revised Manuscript: April 29, 2014
Manuscript Accepted: May 15, 2014
Published: May 28, 2014

Citation
Xuan Du, Serge Vincent, Mathieu Faucher, Marie-Josée Picard, and Tao Lu, "Generalized full-vector multi-mode matching analysis of whispering gallery microcavities," Opt. Express 22, 13507-13514 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-11-13507


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. D. Armani, T. Kippenberg, S. Spillane, K. Vahala, “Ultra-high-Q toroid microcavity on a chip,” Nature 421, 925–928 (2003). [CrossRef] [PubMed]
  2. F. Vollmer, S. Arnold, “Whispering-gallery-mode biosensing: label-free detection down to single molecules,” Nature Methods 5, 591–596 (2008). [CrossRef] [PubMed]
  3. V. R. Dantham, S. Holler, C. Barbre, D. Keng, V. Kolchenko, S. Arnold, “Label-free detection of single protein using a nanoplasmonic-photonic hybrid microcavity,” Nano Letters 13, 3347–3351 (2013). [CrossRef] [PubMed]
  4. T. Lu, H. Lee, T. Chen, S. Herchak, J.-H. Kim, S. E. Fraser, R. C. Flagan, K. Vahala, “High sensitivity nanoparticle detection using optical microcavities,” Proc. Nat. Acad. Sci. USA 108, 5976–5979 (2011). [CrossRef] [PubMed]
  5. Y. Sun, J. Liu, G. Frye-Mason, S.-J. Ja, A. K. Thompson, X. Fan, “Optofluidic ring resonator sensors for rapid dnt vapor detection,” Analyst 134, 1386–1391 (2009). [CrossRef] [PubMed]
  6. G. Bahl, X. Fan, T. Carmon, “Acoustic whispering-gallery modes in optomechanical shells,” New J. Phys. 14, 115026 (2012). [CrossRef]
  7. V. Ilchenko, A. Matsko, “Optical resonators with whispering-gallery modes-part II: applications,” IEEE J. Sel. Top. Quantum Electron. 12, 15–32 (2006). [CrossRef]
  8. M. Santiago-Cordoba, S. Boriskina, F. Vollmer, M. Demirel, “Nanoparticle-based protein detection by optical shift of a resonant microcavity,” Appl. Phys. Lett. 99, 073701 (2011). [CrossRef]
  9. M. Borselli, T. Johnson, O. Painter, “Beyond the Rayleigh scattering limit in high-Q silicon microdisks: theory and experiment,” Opt. Express 13, 1515–1530 (2005). [CrossRef] [PubMed]
  10. M. Hossein-Zadeh, K. J. Vahala, “Free ultra-high-Q microtoroid: a tool for designing photonic devices,” Opt. Express 15, 166–175 (2007). [CrossRef] [PubMed]
  11. D. Rowland, J. Love, “Evanescent wave coupling of whispering gallery modes of a dielectric cylinder,” Optoelectronics, IEEE Proceedings J 140, 177–188 (1993). [CrossRef]
  12. M. L. Gorodetsky, V. S. Ilchenko, “Optical microsphere resonators: optimal coupling to high-Q whispering-gallery modes,” J. Opt. Soc. Am. B 16, 147–154 (1999). [CrossRef]
  13. M. A. C. Shirazi, W. Yu, S. Vincent, T. Lu, “Cylindrical beam propagation modelling of perturbed whispering-gallery mode microcavities,” Opt. Express 21, 30243–30254 (2013). [CrossRef]
  14. C.-G. Xu, X. Xiong, C.-L. Zou, X.-F. Ren, G.-C. Guo, “Efficient coupling between dielectric waveguide modes and exterior plasmon whispering gallery modes,” Opt. Express 21, 31253–31262 (2013). [CrossRef]
  15. A. Kaplan, M. Tomes, T. Carmon, M. Kozlov, O. Cohen, G. Bartal, H. G. L. Schwefel, “Finite element simulation of a perturbed axial-symmetric whispering-gallery mode and its use for intensity enhancement with a nanoparticle coupled to a microtoroid,” Opt. Express 21, 14169–14180 (2013). [CrossRef] [PubMed]
  16. M. Oxborrow, “Traceable 2-d finite-element simulation of the whispering-gallery modes of axisymmetric electromagnetic resonators,” IEEE Trans. Microw. Theory Tech. 55, 1209–1218 (2007). [CrossRef]
  17. J. Wiersig, “Boundary element method for resonances in dielectric microcavities,” J. Opt. A: Pure Appl. Opt. 5, 53 (2003). [CrossRef]
  18. Y.-F. Xiao, Y.-C. Liu, B.-B. Li, Y.-L. Chen, Y. Li, Q. Gong, “Strongly enhanced light-matter interaction in a hybrid photonic-plasmonic resonator,” Phys. Rev. A 85, 031805 (2012). [CrossRef]
  19. I. Teraoka, S. Arnold, F. Vollmer, “Perturbation approach to resonance shifts of whispering-gallery modes in a dielectric microsphere as a probe of a surrounding medium,” J. Opt. Soc. Am. B 20, 1937–1946 (2003). [CrossRef]
  20. M. R. Foreman, F. Vollmer, “Theory of resonance shifts of whispering gallery modes by arbitrary plasmonic nanoparticles,” New J. Phys. 15, 083006 (2013). [CrossRef]
  21. X. Du, S. Vincent, T. Lu, “Full-vectorial whispering-gallery-mode cavity analysis,” Opt. Express 21, 22012–22022 (2013). [CrossRef] [PubMed]
  22. H. A. Haus, Electromagnetic Noise and Quantum Optical Measurements (Springer, 2000).
  23. I. H. Malitson, “Interspecimen comparison of the refractive index of fused silica,” J. Opt. Soc. Am. 55, 1205–1208 (1965). [CrossRef]
  24. M. Bass, C. DeCusatis, J. Enoch, V. Lakshminarayanan, G. Li, C. Macdonald, V. Mahajan, E. Van Stryland, Handbook of Optics, Volume I: Geometrical and Physical Optics, Polarized Light, Components and Instruments, 3rd ed. (McGraw-Hill, 2010).
  25. W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge University, 1992).
  26. S. Spillane, T. J. Kippenberg, O. J. Painter, K. J. Vahala, “Ideality in a fiber-taper-coupled microresonator system for application to cavity quantum electrodynamics,” Phys. Rev. Lett. 91, 043902 (2003). [CrossRef] [PubMed]
  27. H. Derudder, F. Olyslager, D. De Zutter, S. Van Den Berghe, “Efficient mode-matching analysis of discontinuities in finite planar substrates using perfectly matched layers,” IEEE Trans. Antennas. Propag. 49, 185–195 (2001). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Supplementary Material


» Media 1: MP4 (11296 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited