OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 22, Iss. 5 — May. 1, 2005
  • pp: 952–960

Discontinuous spectral element method modeling of optical coupling by whispering gallery modes between microcylinders

Shaozhong Deng and Wei Cai  »View Author Affiliations


JOSA A, Vol. 22, Issue 5, pp. 952-960 (2005)
http://dx.doi.org/10.1364/JOSAA.22.000952


View Full Text Article

Enhanced HTML    Acrobat PDF (219 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We introduce a high-order time-domain discontinuous spectral element method for the study of the optical coupling by evanescent whispering gallery modes between two microcylinders, the building blocks of coupled resonator optical waveguide devices. By using the discontinuous spectral element method with a Dubiner orthogonal polynomial basis on triangles and a Legendre nodal orthogonal basis on quadrilaterals, we conduct a systematic study of the optical coupling by whispering gallery modes between two microcylinders and demonstrate the successful coupling between the microcylinders and also the dependence of such a coupling on the separation and the size variation of the microcylinders.

© 2005 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(230.7370) Optical devices : Waveguides

History
Original Manuscript: July 17, 2004
Manuscript Accepted: November 5, 2004
Published: May 1, 2005

Citation
Shaozhong Deng and Wei Cai, "Discontinuous spectral element method modeling of optical coupling by whispering gallery modes between microcylinders," J. Opt. Soc. Am. A 22, 952-960 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-5-952


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. Yariv, Y. Xu, R. K. Lee, A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Opt. Lett. 24, 711–713 (1999). [CrossRef]
  2. K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, New York, 2001). [CrossRef]
  3. B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics (Wiley-Interscience, New York, 1991). [CrossRef]
  4. J. Joannopoulos, R. Meade, J. Winn, Photonic Crystals, Modeling the Flow of Light (Princeton U. Press, Princeton, N.J., 1995).
  5. M. L. Gorodetsky, A. A. Savchenkov, V. S. Ilchenko, “Ultimate Q of optical microsphere resonators,” Opt. Lett. 21, 453–455 (1996). [CrossRef] [PubMed]
  6. N. W. Ashcroft, D. Mermin, Solid State Physics (Saunders, Philadelphia, Pa., 1976).
  7. D. Gottlieb, S. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications (Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1977). [CrossRef]
  8. C. Canuto, M. Y. Hussaini, A. Quarteroni, T. A. Zhang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1987).
  9. S. J. Sherwin, G. E. Karniadakis, “A new triangular and tetrahedral basis for high-order (hp) finite element methods,” Int. J. Numer. Methods Eng. 38, 3775–3802 (1995). [CrossRef]
  10. D. A. Kopriva, S. L. Woodruff, M. Y. Hussaini, “Computation of electromagnetic scattering with a non-conforming discontinuous spectral element method,” Int. J. Numer. Methods Eng. 53, 105–122 (2002). [CrossRef]
  11. S. C. Hagness, D. Rafizadeh, S. T. Ho, A. Taflove, “FDTD microcavity simulations: design and experimental realization of waveguide-coupled single-mode ring and whispering-gallery-mode disk resonators,” J. Lightwave Technol. 15, 2154–2165 (1997). [CrossRef]
  12. L. Rayleigh, “Further applications of Bessel functions of high order to the whispering gallery and allied problems,” Philos. Mag. 27, 100 (1914). [CrossRef]
  13. X. H. Jiao, P. Guillon, L. Bermudez, P. Auxemery, “Whispering gallery modes of dielectric structures: applications to millimeter wave band filters,” IEEE Trans. Microwave Theory Tech. MTT-35, 1169–1175 (1972).
  14. S. L. McCall, A. F. J. Lewis, R. E. Slusher, S. J. Pearton, R. A. Logan, “Whispering gallery mode microdisk lasers,” Appl. Phys. Lett. 60, 289–291 (1992). [CrossRef]
  15. A. D. Bristow, D. M. Whittaker, V. N. Astratov, M. S. Skolnick, A. Tahraoui, T. F. Krauss, M. Hopkinson, M. P. Croucher, G. A. Gehring, “Defect state and commensurability in dual-period AlxGa1−xAs photonic crystal waveguides,” Phys. Rev. B 68, 033303 (2003). [CrossRef]
  16. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).
  17. J. R. Wait, “Electromagnetic whispering gallery modes in a dielectric rod,” Radio Sci. 2, 1005–1017 (1967).
  18. B. Yang, D. Gottlieb, J. S. Hesthaven, “Spectral simulation of electromagnetic wave scattering,” J. Comput. Phys. 134, 216–230 (1997). [CrossRef]
  19. B. Szabo, I. Babuska, Finite Element Analysis (Wiley, New York, 1991).
  20. A. H. Mahammadian, V. Shankar, W. F. Hall, “Computation of electromagnetic scattering and radiation using a time-domain finite-volume discretization procedure,” Comput. Phys. Commun. 68, 175–196 (1991). [CrossRef]
  21. M. Dubiner, “Spectral methods on triangles and other domains,” J. Sci. Comput. 6, 345–390 (1991). [CrossRef]
  22. J. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994). [CrossRef]
  23. S. Abarbanel, D. Gottlieb, “On the construction and analysis of absorbing layers in CEM,” Appl. Numer. Math. 27, 331–340 (1998). [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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited