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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 6 — Mar. 17, 2008
  • pp: 4330–4336

Analyses of negative refraction in the partial bandgap of photonic crystals

Guilin Sun and Andrew G. Kirk  »View Author Affiliations

Optics Express, Vol. 16, Issue 6, pp. 4330-4336 (2008)

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We consider the conditions for negative refraction in the partial bandgap of photonic crystals and show that, in contrast to previously published studies, anisotropy is not a necessary condition for negative refraction, and that unrestricted imaging is possible. This analysis is made possible by the introduction of a negative local wavevector. In addition, we analyze the origins of the previously reported restricted and adjacent imaging properties and extend negative refraction to higher bands.

© 2008 Optical Society of America

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(230.3990) Optical devices : Micro-optical devices
(350.5500) Other areas of optics : Propagation

ToC Category:
Photonic Crystals

Original Manuscript: January 18, 2008
Revised Manuscript: March 10, 2008
Manuscript Accepted: March 10, 2008
Published: March 14, 2008

Guilin Sun and Andrew G. Kirk, "Analyses of negative refraction in the partial bandgap of photonic crystals," Opt. Express 16, 4330-4336 (2008)

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  1. V. Veselago, "The electrodynamics of substances with simultaneously negative values of ? and ?," Sov. Phys. Usp. 10, 509-514, (1968, in Russian,1964). [CrossRef]
  2. J. B. Pentry, "Negative Refraction Makes a Perfect Lens," Phys. Rev. Lett. 85, 3966-3969 (2000). [CrossRef]
  3. D. R. Smith, W. J. Padina, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "A composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000). [CrossRef] [PubMed]
  4. M. Anioniades and G.V. Eleftheriades, "Compact linear lead/lag metamaterial phase shifters for broadband applications, " IEEE Antennas & Wireless Propag. Lett. 2, 103-106 (2003). [CrossRef]
  5. N. Fang, H. Lee, C. Sun, and X. Zhang, "Sub-Diffraction-Limited Optical Imaging with a Silver Superlens," Science 308, 534-537 (2005). [CrossRef] [PubMed]
  6. D. R. Smith and D. Schurig, "Electromagnetic Wave Propagation in Media with Indefinite Permittivity and Permeability Tensors," Phys. Rev. Lett. 90, 1074011 (2003). [CrossRef]
  7. J. P. Dowling and C. M. Bowden, "Anomalous index of refraction in photonic bandgap materials," J. Mod. Opt. 41, 345-351 (1994). [CrossRef]
  8. B. Gralak, S. Enoch, and G. Tayeb, "Anomalous refractive properties of photonic crystals, " J. Opt. Soc. Am. A 17, 1012-1020 (2000). [CrossRef]
  9. M. Notomi, "Theory of light propagation in strongly modulated photonic crystals: refractionlike behavior in the vicinity of the photonic band gap," Phys. Rev. B 62, 10696-10705 (2000). [CrossRef]
  10. C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104(R) (2002). [CrossRef]
  11. C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, " Subwavelength imaging in photonic crystals," Phys. Rev. B 68, 045115 (2003). [CrossRef]
  12. Z.-Y. Li and L.-L. Lin, "Evaluation of lensing in photonic crystal slabs exhibiting negative refraction," Phys. Rev. B 68, 245110 (2003). [CrossRef]
  13. G. Sun, A. S. Jugessur, and A. G. Kirk, "Imaging properties of dielectric photonic crystal slabs for large object distances, " Opt. Express 14, 6755-6765 (2006). [CrossRef] [PubMed]
  14. K. Sakoda, Optical properties of photonic crystals, (Springer-Verlag, New York, 2nd ed., 2005).
  15. A. Martínez, H. Míguez, J. Sánchez-Dehesa, and J. Martí, "Analysis of wave propagation in a two-dimensional photonic crystal with negative index of refraction: plane wave decomposition of the Bloch modes," Opt. Express 13, 4160-4174 (2005). [CrossRef] [PubMed]
  16. A. Martínez and J. Martí, "Positive phase evolution of waves propagating along a photonic crystal with negative index of refraction," Opt. Express 14, 9805-9814 (2006). [CrossRef] [PubMed]
  17. G. Sun and A. G. Kirk, "Pseudo-interference and its application in determining averaged phase refractive index of photonic crystals," IEEE LEOS 2006 Annual Meeting, 29 October - 2 November 2006, Montreal, Canada.
  18. G. Sun and A. G. Kirk, "On the relationship between Bloch modes and phase-related refractive index of photonic crystals," Opt. Express 15, 13149-13154 (2007). [CrossRef] [PubMed]
  19. Z. Tang, R. Peng, Y. Ye, C. Zhao, D. Fan, H. Zhang, and S. Wen, "Optical properties of a square-lattice photonic crystal within the partial bandgap," J. Opt. Soc. Am. A 24, 379-384 (2007). [CrossRef]
  20. Z. Lu, S. Shi, C. Schuetz, and D. Prather, "Experimental demonstration of negative refraction imaging in both amplitude and phase," Opt. Express 13, 2007-2012 (2005). [CrossRef] [PubMed]
  21. E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopolou, and C. M. Soukoulis, "Subwavelength Resolution in a Two-Dimensional Photonic-Crystal-Based Superlens," Phys. Rev. Lett. 91, 207401 (2003). [CrossRef] [PubMed]
  22. P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, "Imaging by flat lens using negative refraction," Nature 426, 27 (2003). [CrossRef]
  23. S. He, Z. Ruan, L. Chen, and J. Shen, "Focusing properties of a photonic crystal slab with negative refraction," Phys. Rev. B 70, 115113 (2004). [CrossRef]

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