OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 7 — Jul. 1, 2006
  • pp: 1460–1470

Photonic bandgaps in two-dimensional semiconductor-dielectric composite crystals

Manvir S. Kushwaha and Gerardo Martinez  »View Author Affiliations


JOSA B, Vol. 23, Issue 7, pp. 1460-1470 (2006)
http://dx.doi.org/10.1364/JOSAB.23.001460


View Full Text Article

Enhanced HTML    Acrobat PDF (1738 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

This paper reports the multiple bandgaps in the two-dimensional semiconductor-dielectric photonic crystals of several compositions: semiconductor (dielectric) thin cylinders in the dielectric (semiconductor) background. We consider both square and triangular lattice arrangements and compute extensive band structures using a plane-wave method within the framework of an efficient standard eigenvalue problem for both E and H polarizations. The whole range of filling fractions has been explored to claim the existence of the lowest (the so-called acoustic bandgap) and multiple higher-frequency bandgaps within the first 30–40 bands for various compositions. The completeness of the existing bandgaps is substantiated through the computation of the band structures via detailed scanning of the principal symmetry directions covering periphery as well as the interior of the irreducible part of the first Brillouin zone and through the computation of the density of states. In general, the composition made up of doped semiconducting cylinders in the insulating background is found to be the optimum case for both geometries. Such semiconductor-dielectric photonic crystals that are shown to possess huge lowest bandgaps below a threshold frequency (the plasma frequency) have an advantage over the dielectric photonic crystals in the emerging technology based on the photonic crystals.

© 2006 Optical Society of America

OCIS Codes
(350.0350) Other areas of optics : Other areas of optics
(350.7420) Other areas of optics : Waves

ToC Category:
Photonic Crystals

History
Original Manuscript: September 1, 2005
Revised Manuscript: December 16, 2005
Manuscript Accepted: February 15, 2006

Citation
Manvir S. Kushwaha and Gerardo Martinez, "Photonic bandgaps in two-dimensional semiconductor-dielectric composite crystals," J. Opt. Soc. Am. B 23, 1460-1470 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-7-1460


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. E. Yablonovitch, "Inhibited spontaneous emission in solid state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987). [CrossRef] [PubMed]
  2. S. John, "Strong localization of photons in certain disordered structures," Phys. Rev. Lett. 58, 2486-2489 (1987). [CrossRef] [PubMed]
  3. For an extensive review of electronic, photonic, and sonic bandgap crystals, see M. S. Kushwaha, "Classical band structures of periodic elastic composites," Int. J. Mod. Phys. B 10, 977-1094 (1996). [CrossRef]
  4. V. Kuzmiak, A. A. Maradudin, and F. Pincemin, "Photonic band structures of two-dimensional systems containing metallic components," Phys. Rev. B 50, 16835-16844 (1994). [CrossRef]
  5. K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, "Photonic bandgaps in three dimensions: new layer-by-layer periodic structures," Solid State Commun. 89, 413-416 (1994). [CrossRef]
  6. D. F. Sievenpiper, M. E. Sickmiller, and E. Yablonovitch, "3D wire mesh photonic crystals," Phys. Rev. Lett. 76, 2480-2483 (1996). [CrossRef] [PubMed]
  7. J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmons in metallic mesostructures," Phys. Rev. Lett. 76, 4773-4776 (1996). [CrossRef] [PubMed]
  8. S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and E. F. Schubert, "High extraction efficiency of spontaneous emission from slabs of photonic crystals," Phys. Rev. Lett. 78, 3294-3297 (1997). [CrossRef]
  9. Z. Y. Li, B. Y. Gu, and G. Z. Yang, "Large absolute bandgap in 2D anisotropic photonic crystals," Phys. Rev. Lett. 81, 2574-2577 (1998). [CrossRef]
  10. L. Dobrzynski, A. Akjouj, B. Djafari-Rouhani, J. O. Vasseur, and J. Zemmouri, "Giant gaps in photonic band structures," Phys. Rev. B 57, R9388-R9391 (1998). [CrossRef]
  11. C. S. Kee, J. E. Kim, H. Y. Park, S. J. Kim, H. C. Song, Y. S. Kwon, N. H. Myung, S. Y. Shin, and H. Lim, "Essential parameter in the formation of photonic bandgaps," Phys. Rev. E 59, 4695-4698 (1999). [CrossRef]
  12. M. S. Kushwaha and G. Martinez, "Band-gap engineering in two-dimensional periodic photonic crystals," J. Appl. Phys. 88, 2877-2884 (2000). [CrossRef]
  13. E. Yablonovitch, "How to be truly photonic," Science 289, 557-559 (2000). [CrossRef]
  14. M. S. Kushwaha and P. Halevi, "Band-gap engineering in periodic elastic composites," Appl. Phys. Lett. 64, 1085-1087 (1994). [CrossRef]
  15. J. O. Vasseur, L. Dobryznski, B. Djafari-Rouhani, and H. Puszkarski, "Magnon band structure of periodic composites," Phys. Rev. B 54, 1043-1049 (1996). [CrossRef]
  16. C. S. Kee, J. E. Kim, and H. Y. Park, "Heliconic band structure of one-dimensional periodic metallic composites," Phys. Rev. E 57, 2327-2330 (1998). [CrossRef]
  17. S. John, "Electromagnetic absorption in a disordered medium near a photon mibility edge," Phys. Rev. Lett. 53, 2169-2172 (1984). [CrossRef]
  18. S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic band-gap crystals at near-infrared wavelengths," Science 289, 604-606 (2000). [CrossRef] [PubMed]
  19. M. S. Kushwaha and G. Martinez, "Magnetic-field-dependent bandgaps in two-dimensional photonic crystals," Phys. Rev. B 65, 153202 (2002). [CrossRef]
  20. D. R. Smith and N. Kroll, "Negative refractive index in left-handed materials," Phys. Rev. Lett. 85, 2933-2936 (2000). [CrossRef] [PubMed]
  21. M. S. Kushwaha and G. Martinez, "Band gaps, transmission spectra, and Anderson localization in 2D semiconductor-dielectric photonic crystals," (to be published).
  22. T. W. Ebbesen, J. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, "Extraordinary optical transmission through sub-wavelength hole arrays," Nature 391, 667-669 (1998). [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