OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 4 — Feb. 23, 2004
  • pp: 657–669

Mie scattering analysis of spherical Bragg “onion” resonators

Wei Liang, Yong Xu, Yanyi Huang, Amnon Yariv, J. G. Fleming, and Shawn-Yu Lin  »View Author Affiliations

Optics Express, Vol. 12, Issue 4, pp. 657-669 (2004)

View Full Text Article

Enhanced HTML    Acrobat PDF (615 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Combining the Mie scattering theory and a transfer matrix method, we investigate in detail the scattering of light by spherical Bragg “onion” resonators. We classify the resonator modes into two classes, the core modes that are confined by Bragg reflection, and the cladding modes that are confined by total internal reflection. We demonstrate that these two types of modes lead to significantly different scattering behaviors.

© 2004 Optical Society of America

OCIS Codes
(230.1480) Optical devices : Bragg reflectors
(230.5750) Optical devices : Resonators
(290.0290) Scattering : Scattering
(290.4020) Scattering : Mie theory

ToC Category:
Research Papers

Original Manuscript: January 6, 2004
Revised Manuscript: February 12, 2004
Published: February 23, 2004

Wei Liang, Yong Xu, Yanyi Huang, Amnon Yariv, J Fleming, and Shawn-Yu Lin, "Mie scattering analysis of spherical Bragg �??onion�?? resonators," Opt. Express 12, 657-669 (2004)

Sort:  Journal  |  Reset  


  1. A. Ashkin and J. M. Dziedzic, �??Observation of Resonances in the Radiation Pressure on Dielectric Spheres,�?? Phys. Rev. Lett. 38, 1351-1355 (1977). [CrossRef]
  2. Petr Chylek, J. T. Kiehl, and M. K. W. Ko, �??Optical levitation and partial-wave resonances,�?? Phys. Rev. A. 18, 2229-2233, (1978). [CrossRef]
  3. V.B.Braginsky, M. L. Gorodetsky, and V.S. Ilchenko, �??Quality-factor and nonlinear properties of optical whispering-gallery modes,�?? Phys. Lett. A. 137, 393-396 (1989). [CrossRef]
  4. Craig F. Bohren, Donald R. Huffman, Absorption and Scattering of Light by Small Particles (John Wiley & Sons, Inc. 1998). [CrossRef]
  5. Kerry J. Vahala, �??Optical microcavities,�?? Nature 424, 839-846, (2003). [CrossRef] [PubMed]
  6. M. Cai, G. Hunziker, and K. Vahala, �??Fiber-optic add/drop device based on a silica microsphere-whispering gallery mode system,�?? IEEE Photon. Technol. Lett. 11, 686�??687, (1999). [CrossRef]
  7. M. Cai, P.O. Hedekvist, A. Bhardwaj, K. Vahala, �??5-Gbit/s BER performance on an all fiber-optic add/drop device based on a taper-resonator-taper structure,�?? IEEE Photon. Technol. Lett. 12, 1177-1179, (2000). [CrossRef]
  8. D.W. Vernooy, A. Furusawa, N. P. Georgiades, V. S. Ilchenko, and H. J. Kimble, �??Cavity QED with high-Q whispering gallery modes,�?? Phys. Rev. A. 57, R2293 (1998). [CrossRef]
  9. J. R. Buck and H. J. Kimble, "Optimal sizes of dielectric microspheres for cavity QED with strong coupling," Phys. Rev. A. 67, 033806 (2003). [CrossRef]
  10. Z. S. Wu, L. X. Guo, K. F. Ren, G. Gouesbet, and G. Grehan, "Improved algorithm for electromagnetic scattering of plane waves and shaped beams by multilayered spheres," Appl. Opt. 36, 5188-5198 (1997). [CrossRef] [PubMed]
  11. Kevin G. Sullivan and Dennis G. Hall, �??Radiation in spherically symmetric structure. I. the coupled-amplitude equations for vector spherical waves,�?? Phys. Rev. A. 50, 2701-2707, (1994). [CrossRef] [PubMed]
  12. David D. Smith, Kirk A. Fuller, �??Photonic bandgaps in Mie scattering by concentrically stratified spheres,�?? J. Opt. Soc. Am. B. 19, 2449-2455, (2002). [CrossRef]
  13. Yong Xu, Wei Liang, Amnon Yariv, J. G. Fleming, and Shawn-Yu Lin, �??High quality factor Bragg onion resonators with omnidirectional reflector cladding,�?? Opt. Lett. 28, 2144-2146 (2003). [CrossRef] [PubMed]
  14. Yong Xu, Wei Liang, Amnon Yariv, J. G. Fleming, and Shawn-Yu Lin, �??Modal analysis of spherically symmetric Bragg resonators,�?? to appear in Opt. Lett.
  15. G. Mie, �??�??Beitrâge zur optik truber Medien, speziell kolloidaler Metallosungen,�??�?? Ann. Phys. 25, 377�??452 (1908). [CrossRef]
  16. John David Jackson, Classical Electrodynamics, (John Wiley & Sons, Inc., Third Edition, 1999), Chap. 10.
  17. G. Gouesbet, B. Maheu, and G. Grehan, �??Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation,�?? J. Opt. Soc. Am. A 5, 1427-1442, (1988). [CrossRef]
  18. J. A Lock and G. Gouesbet, �??Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz-Mie theory. I. On-axis beams,�?? J. Opt. Soc. Am. A 11, 2503-2515, (1994). [CrossRef]
  19. M. L. Gorodetsky and V. S. IIchenko, �??Optical microsphere resonators: optimal coupling to high-Q whispering-gallery modes,�?? J. Opt. Soc. Am. B 16, 147-154, (1999). [CrossRef]
  20. U. Fano, �??Effects of configuration interaction on intensities and phase shifts,�?? Phys. Rev. 124, 1866-1878, (1961). [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