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. 25, Iss. 1 — Jan. 1, 2008
  • pp: 119–125

Local normal-mode coupling and energy band splitting in elliptically birefringent one-dimensional magnetophotonic crystals

Amir A. Jalali and Miguel Levy  »View Author Affiliations

JOSA B, Vol. 25, Issue 1, pp. 119-125 (2008)

View Full Text Article

Enhanced HTML    Acrobat PDF (447 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



An analysis is presented of wave-vector dispersion in elliptically birefringent stratified magneto-optic media having one-dimensional periodicity. It is found that local normal-mode polarization-state differences between adjacent layers lead to mode coupling and affect the wave-vector dispersion and the character of the Bloch states of the system. This coupling produces extra terms in the dispersion relation not present in uniform circularly birefringent magneto-optic stratified media. Normal-mode coupling lifts the degeneracy at frequency band crossover points under certain conditions and induces a magnetization-dependent optical bandgap. This study examines the conditions for bandgap formation in the system. It shows that such a frequency split can be characterized by a simple coupling parameter that depends on the relation between polarization states of local normal modes in adjacent layers. The character of the Bloch states and conditions for maximizing the strength of the band splitting in these systems are analyzed.

© 2008 Optical Society of America

OCIS Codes
(230.3810) Optical devices : Magneto-optic systems
(260.1440) Physical optics : Birefringence
(260.2030) Physical optics : Dispersion

ToC Category:
Photonic Crystals

Original Manuscript: October 18, 2007
Manuscript Accepted: November 9, 2007
Published: December 26, 2007

Amir A. Jalali and Miguel Levy, "Local normal-mode coupling and energy band splitting in elliptically birefringent one-dimensional magnetophotonic crystals," J. Opt. Soc. Am. B 25, 119-125 (2008)

Sort:  Year  |  Journal  |  Reset  


  1. P. Yeh, "Electromagnetic propagation in birefringent layered media," J. Opt. Soc. Am. 69, 742-756 (1979). [CrossRef]
  2. A. Mandatori, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. Bowden, "Birefringence in one-dimensional finite photonic bandgap structure," J. Opt. Soc. Am. B 20, 504-513 (2003). [CrossRef]
  3. M. Levy and A. A. Jalali, "Band structure and Bloch states in birefringent one-dimensional magnetophotonic crystals: an analytical approach," J. Opt. Soc. Am. B 24, 1603-1609 (2007). [CrossRef]
  4. L. Landau, E. Lifshitz, and L. Pitaevskii, Electrodynamics of Continuous Media (Pergamon, 1984).
  5. M. Levy and R. Li, "Polarization rotation enhancement and scattering mechanisms in waveguide magnetophotonic crystals," Appl. Phys. Lett. 89, 121113 (2006). [CrossRef]
  6. R. Li and M. Levy, "Bragg grating magnetic photonic crystal waveguides," Appl. Phys. Lett. 86, 251102 (2005). [CrossRef]
  7. R. Li and M. Levy, "Erratum: `Bragg grating magnetic photonic crystal waveguides' [Appl. Phys. Lett. 86, 251102 (2005)]," Appl. Phys. Lett. 87, 269901 (2005). [CrossRef]
  8. M. Inoue, K. Arai, T. Fuji, and M. Abe, "One-dimensional magnetophotonic crystals," J. Appl. Phys. 85, 5768-5770 (1999). [CrossRef]
  9. A. Figotin and I. Vitebsky, "Nonreciprocal magnetic photonic crystals," Phys. Rev. E 63, 066609 (2001). [CrossRef]
  10. A. Khanikaev, A. Baryshev, M. Inoue, A. Granovsky, and A. Vinogradov, "Two-dimensional magnetophotonic crystal: exactly solvable model," Phys. Rev. B 72, 035123 (2005). [CrossRef]
  11. S. Kahl and A. Grishin, "Enhanced Faraday rotation in all-garnet magneto-optical photonic crystal," Appl. Phys. Lett. 84, 1438-1440 (2004). [CrossRef]
  12. S. Khartsev and A. Grishin, "High performance [Bi3Fe5O12/Sm3Ga5O12]m magneto-optical photonic crystals," J. Appl. Phys. 101, 053906 (2007). [CrossRef]
  13. A. Merzlikin, A. Vinogradov, A. Dorofeenko, M. Inoue, M. Levy, and A. Granovsky, "Controllable Tamm states in magnetophotonic crystal," Physica B 394, 277-280 (2007). [CrossRef]
  14. X. Huang, R. Li, H. Yang, and M. Levy, "Multimodal and birefringence effects in magnetic photonic crystals," J. Magn. Magn. Mater. 300, 112-116 (2006). [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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited