OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry Van Driel
  • Vol. 26, Iss. 8 — Aug. 1, 2009
  • pp: 1506–1510

Thickness-dependent photonic bandgap in a one-dimensional single-negative photonic crystal

Da-Wei Yeh and Chien-Jang Wu  »View Author Affiliations

JOSA B, Vol. 26, Issue 8, pp. 1506-1510 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (521 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The thickness-dependent photonic bandgap for a one-dimensional photonic crystal consisting of two different single-negative (SNG) materials is theoretically investigated. The two SNG materials include one with a single-negative permittivity ( ϵ < 0 , μ > 0 ) and the other with a single-negative permeability ( μ < 0 , ϵ > 0 ) . It is found that the size of the bandgap and the positions of the band edges are strongly dependent on the thickness ratio of the two constituent SNG layers. First, the bandgap decreases with increase in the ratio and eventually shrinks to zero at a critical value of the ratio. Then the bandgap is opened up and enhanced when the thickness ratio is larger than the critical ratio. By using the composite right/left-hand transmission-line model, we qualitatively explained the bandgap’s shifting behaviors that are due to the variation of the thickness.

© 2009 Optical Society of America

OCIS Codes
(160.3918) Materials : Metamaterials
(160.5293) Materials : Photonic bandgap materials
(050.5298) Diffraction and gratings : Photonic crystals
(160.5298) Materials : Photonic crystals

ToC Category:

Original Manuscript: April 20, 2009
Revised Manuscript: May 25, 2009
Manuscript Accepted: June 16, 2009
Published: July 7, 2009

Da-Wei Yeh and Chien-Jang Wu, "Thickness-dependent photonic bandgap in a one-dimensional single-negative photonic crystal," J. Opt. Soc. Am. B 26, 1506-1510 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. L.-G. Wang, H. Chen, and S.-Y. Zhu, “Omnidirectional gap and defect mode of one-dimensional photonic crystals with single-negative materials,” Phys. Rev. B 70, 245102 (2004). [CrossRef]
  2. T. B. Wang, J. W. Dong, C. P. Yin, and H. Z. Wang, “Complete evanescent tunneling gaps in one-dimensional photonic crystals,” Phys. Lett. A 373, 169-172 (2008). [CrossRef]
  3. S. Wang, C. Tang, T. Pan, and L. Gao, “Effectively negatively refractive material made of negative-permittivity and negative-permeability bilayer,” Phys. Lett. A 351, 391-397 (2006). [CrossRef]
  4. J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76, 4773-4777 (1996). [CrossRef] [PubMed]
  5. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075-2084 (1999). [CrossRef]
  6. Y. Fang and S. He, “Transparent structure consisting of metamaterial layers and matching layers,” Phys. Rev. A 78, 023813 (2008). [CrossRef]
  7. C. Caloz and T. Itoh, Electromagnetic Metamaterials (Wiley, 2006).
  8. L. Gao, C. J. Tang, and S. M. Wang, “Photonic band gap from a stack of single-negative materials,” J. Magn. Magn. Mater. 301, 371-377 (2006). [CrossRef]
  9. D. R. Smith, W. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184-4187 (2000). [CrossRef] [PubMed]
  10. A. Alu 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, J. Zi, and S. Y. Zhu, “Properties of one-dimensional photonic crystals containing single-negative materials,” Phys. Rev. E 69, 066607 (2004). [CrossRef]
  12. J. A. Monsoriu, R. A. Depine, M. L. Martinez-Ricci, and E. Silvestre, “Interaction between non-Bragg band gaps in 1D metamaterial photonic crystals,” Opt. Express 14, 12958-12967 (2006). [CrossRef] [PubMed]
  13. R. Ruppin, “Surface polaritons of a left-handed material slab,” J. Phys.: Condens. Matter 13, 1811-1818 (2001). [CrossRef]
  14. J. R. Canto, S. A. Matos, C. R. Paiva, and A. M. Barbosa, “Effect of losses in a layered structure containing DPS and DNG media,” PIERS Online 4, 546-555 (2008). [CrossRef]
  15. P. Yeh, Optical Waves in Layered Media (Wiley, 1998).
  16. Y. Jin and S. He, “Impedance-matched multilayered structure containing a zero-permittivity material for spatial filtering,” J. Nonlinear Opt. Phys. Mater. 17, 349-355 (2008). [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