OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 28, Iss. 4 — Apr. 1, 2011
  • pp: 856–860

Optical phase conjugation enhancement in one-dimensional nonlinear photonic crystals containing single-negative materials

Hai Lu, Chun-hua Xue, Hai-tao Jiang, and Hong Chen  »View Author Affiliations


JOSA B, Vol. 28, Issue 4, pp. 856-860 (2011)
http://dx.doi.org/10.1364/JOSAB.28.000856


View Full Text Article

Enhanced HTML    Acrobat PDF (868 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present a theoretical study of optical phase conjugation by degenerate four-wave mixing in one-dimensional photonic crystals containing two kinds of single-negative materials. Compared to usual photonic crystals with the same thickness and third-order nonlinear susceptibility ( χ 3 ), the generation efficiency of the optical phase- conjugate wave can be enhanced by nearly 3 orders of magnitude. Distinct from the band-edge state in usual photonic crystals, the enhancement is caused by the strong field localized at each interface of two types of single- negative materials. Owing to the unique properties of the band edge of the zero-effective-phase gap that is insensitive to the angle of incidence, the optical phase-conjugate wave can be generated efficiently in a wide range of angle of incidence.

© 2011 Optical Society of America

OCIS Codes
(190.5040) Nonlinear optics : Phase conjugation
(160.3918) Materials : Metamaterials
(160.5298) Materials : Photonic crystals

ToC Category:
Materials

History
Original Manuscript: December 6, 2010
Revised Manuscript: January 29, 2011
Manuscript Accepted: February 8, 2011
Published: March 23, 2011

Citation
Hai Lu, Chun-hua Xue, Hai-tao Jiang, and Hong Chen, "Optical phase conjugation enhancement in one-dimensional nonlinear photonic crystals containing single-negative materials," J. Opt. Soc. Am. B 28, 856-860 (2011)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-28-4-856


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. B. Y. Zeldovich, V. I. Popovichev, V. V. Ragulskii, and F. S. Faisullov, “Connection between the wave fronts of the reflected and exciting light in stimulated Mandel’shtam–Brillouin scattering,” Sov. Phys. JETP 15, 109–113 (1972).
  2. B. Y. Zel’dovich, R. F. Pilipetskii, and V. V. Shkunov, Principles of Phase Conjugation (Springer, 1985).
  3. R. A. Fisher, ed., Optical Phase Conjugation (Academic, 1983).
  4. G. S. He, “Optical phase conjugation: principles, techniques, and applications,” Prog. Quantum Electron. 26, 131–191 (2002). [CrossRef]
  5. R. W. Hellwarth, “Generation of time-reversed wave fronts by nonlinear refraction,” J. Opt. Soc. Am. 67, 1–3 (1977). [CrossRef]
  6. P. Xie and Z. Q. Zhang, “Optical phase conjugation in third-order nonlinear photonic crystals,” Phys. Rev. A 69, 053806 (2004). [CrossRef]
  7. P. Delaye, M. Astic, R. Frey, and G. Roosen, “Transfer-matrix modeling of four-wave mixing at the band edge of a one-dimensional photonic crystal,” J. Opt. Soc. Am. B 22, 2494–2504(2005). [CrossRef]
  8. L. Razzari, D. Träger, M. Astic, P. Delaye, R. Frey, G. Roosen, and R. André, “Kerr and four-wave mixing spectroscopy at the band edge of one-dimensional photonic crystals,” Appl. Phys. Lett. 86, 231106 (2005). [CrossRef]
  9. M. Astic, P. Delaye, R. Frey, and G. Roosen, “Enhancement of nonlinear effects at the degenerate band edge of two-dimensional photonic crystals,” Phys. Rev. E 79, 056608 (2009). [CrossRef]
  10. A. Alù and N. Engheta, “Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency,” IEEE Trans. Antennas Propag. 51, 2558–2571 (2003). [CrossRef]
  11. H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, and S. Y. Zhu, “Omnidirectional gap and defect mode of one-dimensional photonic crystals containing negative-index materials,” Appl. Phys. Lett. 83, 5386–5388 (2003). [CrossRef]
  12. H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, “Properties of one-dimensional photonic crystals containing single-negative materials,” Phys. Rev. E 69, 066607 (2004). [CrossRef]
  13. S. M. Wang, C. J. Tang, T. Pan, and L. Gao, “Bistability and gap soliton in one-dimensional photonic crystal containing single-negative materials,” Phys. Lett. A 348, 424–431 (2006). [CrossRef]
  14. S. M. Wang and L. Gao, “Nonlinear responses of the periodic structure composed of single negative materials,” Opt. Commun. 267, 197–204 (2006). [CrossRef]
  15. H. T. Jiang, H. Chen, and S. Y. Zhu, “Localized gap-edge fields of one-dimensional photonic crystals with an ε-negative and a μ-negative defect,” Phys. Rev. E 73, 046601 (2006). [CrossRef]
  16. Q. G. Du, F. F. Ren, C. H. Kam, and X. W. Sun, “Second-harmonic generation in photonic crystals with a pair of epsilon-negative and mu-negative defects,” Opt. Express 17, 6682–6687 (2009). [CrossRef] [PubMed]

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