OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 1 — Jan. 1, 2007
  • pp: 142–151

Splitting of microcavity degenerate modes in rotating photonic crystals—the miniature optical gyroscopes

Ben Zion Steinberg and Amir Boag  »View Author Affiliations

JOSA B, Vol. 24, Issue 1, pp. 142-151 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (298 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A manifestation of the Sagnac effect in a rotating photonic crystal that contains a microcavity with degenerate modes is explored. It is shown that generally rotation can cause the resonance frequency to split into M different frequencies, where M is the order of the stationary-system mode degeneracy. The results are derived using a new rotation-induced eigenvalue theory that holds for any two-dimensional or three-dimensional rotating microcavity with mode degeneracy. Comparison with exact numerical simulations of the rotating system is provided. Miniature optical gyroscopes are discussed.

© 2006 Optical Society of America

OCIS Codes
(120.5790) Instrumentation, measurement, and metrology : Sagnac effect
(230.5750) Optical devices : Resonators

ToC Category:
Photonic Crystals

Original Manuscript: June 29, 2006
Manuscript Accepted: August 9, 2006

Ben Z. Steinberg and Amir Boag, "Splitting of microcavity degenerate modes in rotating photonic crystals—the miniature optical gyroscopes," J. Opt. Soc. Am. B 24, 142-151 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. B. Z. Steinberg, "Rotating photonic crystals: a medium for compact optical gyroscopes," Phys. Rev. E 71, 056621 (2005). [CrossRef]
  2. B. Z. Steinberg, A. Boag, and R. Lisitsin, "Sensitivity analysis of narrowband photonic crystal filters and waveguides to structure variations and inaccuracy," J. Opt. Soc. Am. A 20, 138-146 (2003). [CrossRef]
  3. B. Z. Steinberg, A. Shamir, and A. Boag, "Two-dimensional Green's function theory for the electrodynamics of a rotating medium," Phys. Rev. E 74, 016608 (2006). [CrossRef]
  4. E. J. Post, "Sagnac effect," Rev. Mod. Phys. 39, 475-493 (1967). [CrossRef]
  5. O. Painter, J. Vuckovic, and A. Scherer, "Defect modes of a two-dimensional photonic crystal in an optically thin dielectric slab," J. Opt. Soc. Am. B 16, 275-285 (1999). [CrossRef]
  6. M. Loncar, M. Hochberg, A. Scherer, and Y. Qiu, "High quality factors and room-temperature lasing in a modified single-defect photonic crystal cavity," Opt. Lett. 29, 721-723 (2004). [CrossRef] [PubMed]
  7. T. Shiozawa, "Phenomenological and electron-theoretical study of the electrodynamics of rotating systems," Proc. IEEE 61, 1694-1702 (1973). [CrossRef]
  8. J. L. Anderson and J. W. Ryon, "Electromagnetic radiation in accelerated systems," Phys. Rev. 181, 1765-1775 (1969). [CrossRef]
  9. H. J. Arditty and H. C. Lefevre, "Sagnac effect in fiber gyroscopes," Opt. Lett. 6, 401-403 (1981). [CrossRef] [PubMed]
  10. P. Lancaster and M. Tismenetsky, The Theory of Matrices, 2nd ed. (Academic, 1985).
  11. R. F. Harrington, Field Computation by Moment Methods (Krieger, 1982).
  12. Y. Leviatan and A. Boag, "Analysis of electromagnetic scattering from dielectric cylinders using a multifilament current model," IEEE Trans. Antennas Propag. 35, 1119-1127 (1987). [CrossRef]
  13. A. Boag, Y. Leviatan, and A. Boag, "Analysis of two-dimensional electromagnetic scattering from a periodic grating of cylinders using a hybrid current model," Radio Sci. 23, 612-624 (1988). [CrossRef]
  14. B. S. Song, S. Noda, and T. Asano, "Photonic devices based on in-plane hetero photonic crystals," Science 300, 1537-1542 (2003). [CrossRef] [PubMed]
  15. B. S. Song, S. Noda, T. Asano, and Y. Akahane, "Ultra-high-Q photonic double-heterostructure nanocavity," Nat. Mater. 4, 207-210 (2005). [CrossRef]
  16. D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, "Ultra-high-Q toroid microcavity on a chip," Nature 421, 925-928 (2003). [CrossRef] [PubMed]
  17. J. Scheuer and A. Yariv, "Sagnac effect in coupled-resonator slow-light waveguide structures," Phys. Rev. Lett. 96, 053901 (2006). [CrossRef] [PubMed]
  18. B. Z. Steinberg, J. Scheuer, and A. Boag, "Slow-light waveguides with mode degeneracy: rotation-induced super structures and optical gyroscopes," in Proceedings of Slow and Fast Light OSA Topical Meeting (Optical Society of America, 2006), paper MB3.
  19. B. Z. Steinberg, J. Scheuer, and A. Boag, "Rotation-induced super structure in slow-light waveguides with mode degeneracy," submitted to J. Opt. Soc. Am. B.

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

OSA is a member of CrossRef.

CrossCheck Deposited