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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 12 — Dec. 1, 2007
  • pp: 3091–3098

Band structure of two-dimensional photonic crystals that include dispersive left-handed materials and dielectrics in the unit cell

Alberto Mendoza-Suárez, Francisco Villa-Villa, and Jorge A. Gaspar-Armenta  »View Author Affiliations

JOSA B, Vol. 24, Issue 12, pp. 3091-3098 (2007)

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We determine the band structure of two-dimensional photonic crystals that are composed of left-handed materials and dielectrics, based on the numerical solution of the Helmholtz equation by using integral equations. It is found that plasmonic resonances appear constituting a band that is independent of the filling fraction. Wide bandgaps are present where the penetration depth of the electromagnetic field inside the photonic crystal is quite short compared to purely dielectric photonic crystals.

© 2007 Optical Society of America

OCIS Codes
(240.6690) Optics at surfaces : Surface waves
(290.0290) Scattering : Scattering

ToC Category:
Photonic Crystals

Original Manuscript: July 16, 2007
Revised Manuscript: October 17, 2007
Manuscript Accepted: October 18, 2007
Published: November 30, 2007

Alberto Mendoza-Suárez, Francisco Villa-Villa, and Jorge A. Gaspar-Armenta, "Band structure of two-dimensional photonic crystals that include dispersive left-handed materials and dielectrics in the unit cell," J. Opt. Soc. Am. B 24, 3091-3098 (2007)

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  1. T. Tanabe, M. Notomi, S. Mitsugi, A. Shinya, and E. Kuramochi, "Fast bistable all-optical switch and memory on a silicon photonic crystal on-chip," Opt. Lett. 30, 2575-2577 (2005). [CrossRef] [PubMed]
  2. A. Femius Koenderink and W. L. Vos, "Optical properties of real photonic crystals," J. Opt. Soc. Am. B 22, 1075-1084 (2005). [CrossRef]
  3. L. Florescu, K. Busch, and S. John, "Semiclassical theory of lasing in photonic crystals," J. Opt. Soc. Am. B 19, 2215-2223 (2002). [CrossRef]
  4. P. Kramper, A. Birner, M. Agio, C. M. Soukoulis, F. Müller, U. Gösele, J. Mlynek, and V. Sandoghdar, "Direct spectroscopy of a deep two-dimensional photonic crystal microresonator," Phys. Rev. B 64, 233102 (2001). [CrossRef]
  5. J. Li, W. Huang, and Y. Han, "Tunable photonic crystals by mixed liquids," Colloids Surf. 279, 213-217 (2006). [CrossRef]
  6. T. Stomeo, V. Errico, A. Salhi, A. Passaseo, R. Cingolani, A. D'Orazio, M. De Sario, V. Marrocco, V. Petruzzelli, F. Prudenzano, and M. De Vittorio, "Design and fabrication of active and passive photonic crystal resonators," Microelectron. Eng. 83, 1823-1825 (2006). [CrossRef]
  7. S. H. G. Teo, A. Q. Liu, M. B. Yu, and J. Singh, "Fabrication and demonstration of square lattice two-dimensional rod-type photonic band gap crystal optical intersections," Photonics Nanostruct. Fundam. Appl. 4, 103-115 (2006). [CrossRef]
  8. M. Mengens, J. E. G. J. Wijnhoven, A. Lagendijk, and W. L. Vos, "Light sources inside photonic crystals," J. Opt. Soc. Am. B 16, 1403-1408 (1999). [CrossRef]
  9. F. Yuntuan, S. Haijin, and S. Tinggen, "New evidences of negative refraction in photonic crystals," Opt. Mater. 28, 1156-1159 (2006). [CrossRef]
  10. B. Momeni and A. Adibi, "Systematic design of superprism-based photonic crystal demultiplexers," IEEE J. Sel. Areas Commun. 23, 1355-1364 (2005). [CrossRef]
  11. N. C. Panoiu, M. Bahl, and R. M. Osgood, Jr., "Optically tunable superprism effect in nonlinear photonic crystals," Opt. Lett. 28, 2503-2505 (2003). [CrossRef] [PubMed]
  12. M. Soljacic, C. Luo, J. D. Joannopoulos, and S. Fan, "Nonlinear photonic crystal microdevices for optical integration," Opt. Lett. 28, 637-639 (2005). [CrossRef]
  13. A. A. Houck, J. B. Brock, and I. L. Chuang, "Experimental observation of a left-handed material that obeys Snell's law," Phys. Rev. Lett. 90, 137401 (2003). [CrossRef] [PubMed]
  14. V. A. Podolsky, "Plasmon modes and negative refraction in metal nanowire composites," Opt. Express 11, 735-745 (2003). [CrossRef]
  15. L. Wu, S. He, and L. Chen, "On unusual narrow transmission bands for a multi-layered periodic structure containing left handed materials," Opt. Express 11, 1283-1290 (2003). [CrossRef] [PubMed]
  16. L. Wu, S. He, and L. Shen, "Band structure for a one-dimensional photonic crystal containing left-handed materials," Phys. Rev. B 67, 235103 (2003). [CrossRef]
  17. J. Li, L. Zhou, C. T. Chan, and P. Sheng, "Photonic band gap from a stack of positive and negative index materials," Phys. Rev. Lett. 90, 083901 (2003). [CrossRef] [PubMed]
  18. D. Bria, B. Djafari-Rouhani, A. Akjouj, L. Dobrzynski, J. P. Vigneron, E. H. El Boudoti, and A. Nougaoui, "Band structure and omnidirectional photonic band gap in lamellar structures with left-handed materials," Phys. Rev. E 69, 066613 (2004). [CrossRef]
  19. F. Villa-Villa and J. A. Gaspar-Armenta, "Brewster angle and optical tunneling in one-dimensional photonic crystals composed of left and right handed materials," J. Opt. Soc. Am. B 23, 375-380 (2006). [CrossRef]
  20. A. Mendoza-Suárez, F. Villa-Villa, and J. A. Gaspar-Armenta, "Numerical method based on the solution of integral equations for the calculation of the band structure and reflectance of one and two-dimensional photonic crystals," J. Opt. Soc. Am. B 23, 2249-2256 (2006). [CrossRef]
  21. A. A. Maradudin, E. R. Mendez, and T. Michel, "Enhanced backscattering of light from a random grating," Ann. Phys. (N.Y.) 203, 255-307 (1990). [CrossRef]
  22. A. Mendoza-Suárez and E. R. Mendez, "Light scattering by a reentrant fractal surface," Appl. Opt. 36, 3521-3531 (1997). [CrossRef] [PubMed]
  23. F. Villa, J. A. Gaspar, and A. Mendoza, "Surface modes in one dimensional photonic crystals that include left handed materials," J. Electromagn. Waves Appl. 21, 485-489 (2007). [CrossRef]
  24. J. A. Gaspar-Armenta and F. Villa, "Band structure properties of one-dimensional photonic crystals under the formalism of equivalent systems," J. Opt. Soc. Am. B 21, 405-412 (2004). [CrossRef]
  25. R. Ruppin, "Surface polaritons of a left-handed medium," Phys. Lett. A 227, 61-64 (2000). [CrossRef]

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