OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 19 — Sep. 14, 2009
  • pp: 16666–16680

Analysis of photonic band structure in a one-dimensional photonic crystal containing single-negative materials

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

Optics Express, Vol. 17, Issue 19, pp. 16666-16680 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (338 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A theoretical analysis on the angle- and thickness-dependent photonic band structure in a one-dimensional photonic crystal containing single-negative (SNG) materials is presented. The photonic crystal consists of two alternating SNG materials, including that one has a negative permittivity (ENG) and the other has a negative permeability (MNG). It is found that there are two types of SNG gaps. The first is the low-frequency gap which is very insensitive to the incident angle in the transversal electric (TE) wave. The second gap, which strongly relies on the incident angle for both TE and transversal magnetic (TM) waves, will close at the zero bandgap frequency at which the impedance match as well as the phase match in the constituent ENG and MNG layers must be simultaneously satisfied. This zero bandgap frequency is also strongly dependent on the incident angle. The band edges and the gap maps are investigated rigorously as a function of the incident angle and the ratio of thickness of the two SNG layers. The analyses are made in the lossless and lossy cases for both TE and TM waves. The inclusion of the loss enables us to further clarify two fundamentally distinct second SNG gaps which are separated by a threshold angle of incidence.

© 2009 OSA

ToC Category:
Photonic Crystals

Original Manuscript: July 24, 2009
Revised Manuscript: August 25, 2009
Manuscript Accepted: August 31, 2009
Published: September 3, 2009

Da-Wei Yeh and Chien-Jang Wu, "Analysis of photonic band structure in a one-dimensional photonic crystal containing single-negative materials," Opt. Express 17, 16666-16680 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. S. J. Orfanidis, Electromagnetic Waves and Antennas (www.ece.rutgers.edu/~orfandid/ewa , 2008).
  2. 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 Stat. Nonlin. Soft Matter Phys. 69(6), 066607 (2004). [CrossRef] [PubMed]
  3. H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, and S. Zhu, “Compact high-Q filters based on one-dimensional photonic crystals containing single-negative materials,” J. Appl. Phys. 98(1), 013101 (2005). [CrossRef]
  4. 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(24), 245102 (2004). [CrossRef]
  5. L. W. Zhang, Y. W. Zhang, L. He, H. Q. Li, and H. Chen, “Experimental study of photonic crystals consisting of E-negative and μ-negative materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(5), 056615 (2006). [CrossRef]
  6. L. Gao, C. J. Tang, and S. M. Wang, “Photonic band gap from a stack of single-negative materials,” J. Magn. Magn. Mater. 301(2), 371–377 (2006). [CrossRef]
  7. Y. H. Chen, “Omnidirectional and independently tunnel defect modes in fractional photonic crystals containing single-negative materials,” Appl. Phys. B 95(4), 757–761 (2009). [CrossRef]
  8. Y. H. Chen, J. W. Dong, and H. Z. Wang, “Omnidirectional resonance modes in photonic crystal heterostructures containing single-negative materials,” J. Opt. Soc. Am. B 23(10), 2237–2240 (2006). [CrossRef]
  9. D.-W. Yeh and C.-J. Wu, “Thickness-dependent photonic bandgap in a one-dimensional single-negative photonic crystal,” J. Opt. Soc. Am. B 26(8), 1506–1510 (2009). [CrossRef]
  10. 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(1), 169–172 (2008). [CrossRef]
  11. 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(6), 391–397 (2006). [CrossRef]
  12. P. Han, C. T. Chan, and Z. Q. Zhang, “Wave localization in one-dimensional random structures composed of single-negative metamaterials,” Phys. Rev. B 77(11), 115332 (2008). [CrossRef]
  13. J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996). [CrossRef] [PubMed]
  14. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999). [CrossRef]
  15. A. Alu and N. Engheta, “Pairing an epsilon-negative slab with a mu-negative slab: Resonance, tunneling and transparency,” IEEE Trans. Antenn. Propag. 51(10), 2558–2571 (2003). [CrossRef]
  16. 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(5), 546–550 (2008). [CrossRef]
  17. P. Yeh, Optical Wave in Layered Media (John Wiley & Sons, New York, 1998).
  18. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84(18), 4184–4187 (2000). [CrossRef] [PubMed]
  19. R. Ruppin, “Surface polaritons of a left-handed material slab,” J. Phys. Condens. Matter 13(9), 1811–1818 (2001). [CrossRef]
  20. C.-J. Wu, M.-S. Chen, and T.-J. Yang, “Photonic band structure for a superconducting-dielectric Superlattice,” Physica C 432(3-4), 133–139 (2005). [CrossRef]
  21. C. H. Raymond Ooi, T. C. Au Yeung, C. H. Kam, and T. K. Lim, “Photonic band gap in a superconductor-dielectric superlattic,” Phys. Rev. B 61(9), 5920–5923 (2000). [CrossRef]
  22. C. H. Raymond Ooi and T. C. Au Yeung, “Polariton gap in a superconductor-dielectric superlattice,” Phys. Lett. A 259(5), 413–419 (1999).

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