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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 26 — Dec. 25, 2006
  • pp: 12958–12967

Interaction between non-Bragg band gaps in 1D metamaterial photonic crystals

Juan A. Monsoriu, Ricardo A. Depine, María L. Martínez-Ricci, and Enrique Silvestre  »View Author Affiliations


Optics Express, Vol. 14, Issue 26, pp. 12958-12967 (2006)
http://dx.doi.org/10.1364/OE.14.012958


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Abstract

We consider periodic multilayers combining ordinary positive index materials and dispersive metamaterials with negative index in some frequency range. These structures can exhibit photonic band gaps which, in contrast with the usual Bragg gaps, are not based on interference mechanisms. We focus on effects produced by the interaction between non-Bragg gaps of different nature: a) the zero averaged refractive index, b) the zero permeability and c) the zero permittivity gaps. Our analysis highlights the role played by the unavoidable dispersive character of metamaterials. We show that the degree of overlap between these bands can be varied by a proper selection of the constructive parameters, a feature that introduces novel degrees of freedom for the design of photonic band gap structures. The numerical examples illustrate the evolution of the dispersion diagrams of a periodic multilayer with the filling fraction of the ordinary material constituent and show a range of filling fractions where propagation in the multilayer is forbidden for any propagation angle and polarization.

© 2006 Optical Society of America

OCIS Codes
(160.4670) Materials : Optical materials
(230.4170) Optical devices : Multilayers
(350.4010) Other areas of optics : Microwaves

ToC Category:
Metamaterials

History
Original Manuscript: September 18, 2006
Revised Manuscript: November 14, 2006
Manuscript Accepted: November 17, 2006
Published: December 22, 2006

Citation
Juan A. Monsoriu, Ricardo A. Depine, María L. Martínez-Ricci, and Enrique Silvestre, "Interaction between non-Bragg band gaps in 1D metamaterial photonic crystals," Opt. Express 14, 12958-12967 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-26-12958


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References

  1. Y. Fink, J. Winn, S. Fan, C. Chen, J. Michel, J. Joannopoulos, and E. Thomas, "A Dielectric Omnidirectional Reflector," Science 282,1679-1682 (1998). [CrossRef] [PubMed]
  2. P. St. J. Russell, S. Tredwell, and P. J. Roberts, "Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures," Opt. Commun. 160, 66-71 (1999). [CrossRef]
  3. D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, "Observation of total omnidirectional reflection from one-dimensional dielectric latice," Appl. Phys. A 68, 25-28 (1999). [CrossRef]
  4. C. Xudong, C. Hafner, R. Vahldieck, and F. Robin, "Sharp trench waveguide bends in dual mode operation with ultra-small photonic crystals for suppressing radiation," Opt. Express 14, 4351-4356 (2006). [CrossRef] [PubMed]
  5. D. Delbeke, R. Bockstaele, P. Bienstman, R. Baets, and H. Benisty, "High-efficiency semiconductor resonantcavity light-emitting diodes: a review," IEEE J. Sel. Top. Quantum Electron. 8, 189-206 (2002). [CrossRef]
  6. Y. Akahane, T. Asano, B.-S. Song, and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature 425, 944-947 (2003). [CrossRef] [PubMed]
  7. J. Pendry (ed), Focus issue: Negative refraction and metamaterials, Opt. Express 11 (2003), http://www.opticsexpress.org/ViewMedia.cfm?id=71852&seq=0. [PubMed]
  8. A. Lakhtakia and M. McCall (eds), Focus issue on negative refraction, New J. Phys. 7 (2005), http://www.iop.org/EJ/abstract/-ff30=1/1367-2630/7/1/E03. [CrossRef]
  9. D. Smith, J. Pendry, and M. Wiltshire, "Metamaterials and Negative Refractive Index," Science 305, 788-792 (2004). [CrossRef] [PubMed]
  10. V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of permittivity and permeability," Sov. Phys. Usp. 10, 509-514 (1968). [CrossRef]
  11. 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]
  12. 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]
  13. H. Jiang, H. Chen, H. Li, Y. Zhang, J. Zi, and S. Zhu, "Properties of one-dimensional photonic crystals containing single-negative materials," Phys. Rev. E 69, 066607 (2004). [CrossRef]
  14. 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]
  15. N. Panoiu, R. Osgood, S. Zhang, S. Brueck, "Zero-n bandgap in photonic crystal superlattices," J. Opt. Soc. Am. B 23, 506-513 (2006). [CrossRef]
  16. L. I. Deych, D. Livdan, and A. A. Lisyansky, "Resonant tunneling of electromagnetic waves through polariton gaps," Phys. Rev. E 57, 7254-7258 (1998). [CrossRef]
  17. R. A. Depine, M. L. Mart’ýnez-Ricci, J. A. Monsoriu, E. Silvestre, and P. Andr’es, "Zero permeability and zero permittivity band gaps in 1D metamaterial photonic crystals," arXiv: physics/0606069 (2006).
  18. I. Shadrivov, A. Sukhorukov, and Y. Kivshar, "Complete Band Gaps in One-Dimensional Left-Handed Periodic Structures," Phys. Rev. Lett. 95, 193903 (2005). [CrossRef] [PubMed]
  19. P. Yeh, A. Yariv, and C. Hong, "Electromagnetic propagation in periodic stratified media. I. General theory," J. Opt. Soc. Am. 67, 423-438 (1977). [CrossRef]

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