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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 8, Iss. 3 — Jan. 29, 2001
  • pp: 191–196

Two-dimensional local density of states in two-dimensional photonic crystals

Ara A. Asatryan, Sebastien Fabre, Kurt Busch, Ross C. McPhedran, Lindsay C. Botten, C. Martijn de Sterke, and Nicolae-Alexandru P. Nicorovici.  »View Author Affiliations


Optics Express, Vol. 8, Issue 3, pp. 191-196 (2001)
http://dx.doi.org/10.1364/OE.8.000191


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Abstract

We calculate the two-dimensional local density of states (LDOS) for two-dimensional photonic crystals composed of a finite cluster of circular cylinders of infinite length. The LDOS determines the dynamics of radiation sources embedded in a photonic crystal. We show that the LDOS decreases exponentially inside the crystal for frequencies within a photonic band gap of the associated infinite array and demonstrate that there exist “hot” and “cold” spots inside the cluster even for wavelengths inside a gap, and also for wavelengths corresponding to pass bands. For long wavelengths the LDOS exhibits oscillatory behavior in which the local density of states can be more than 30 times higher than the vacuum level.

© Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(290.4210) Scattering : Multiple scattering

ToC Category:
Focus Issue: Photonic bandgap calculations

History
Original Manuscript: November 13, 2000
Published: January 29, 2001

Citation
Ara Asatryan, Sebastien Fabre, Kurt Busch, Ross McPhedran, Lindsay Botten, Martijn de Sterke, and Nicolae A. Nicorovici, "Two-dimensional local density of states in two-dimensional photonic crystals," Opt. Express 8, 191-196 (2001)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-8-3-191


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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 Dielectric Superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987). [CrossRef] [PubMed]
  3. K. Busch, and S. John, "Liquid-Crystal Photonic-Band-Gap Materials: The Tunable Electromagnetic Vacuum," Phys. Rev. Lett. 83, 967-970 (1999). [CrossRef]
  4. O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O'Brien, P. D. Dapkus, and I. Kim, "Two-Dimensional Photonic Band-Gap Defect Mode Laser," Science 284, 1819-1821 (1999). [CrossRef] [PubMed]
  5. S. Fan, and J.D. Joannopoulos,"Photonic crystals: towards large-scale integration of optical and optoelectronic circuits," Optics & photonics news, 11 28-33 (2000). [CrossRef]
  6. J. C. Knight, J. Broeng, T. A. Birks, and P. St. J. Russel, "Photonic Band Gap Guidance in Optical Fibers," Science 282, 1476-1478 (1998). [CrossRef] [PubMed]
  7. R. Spirk, B. A. van Tiggelen, A. Lagendijk, "Optical emission in periodic dielectrics," Europhys. Lett. 35, 265-270 (1996). [CrossRef]
  8. S. John, and K. Busch , "Photonic bandgap formation and tunability in certain self-organizing systems," J. Lightwave Technology 17, 1931-1943 (1999). [CrossRef]
  9. A. Moroz, "Minima and maxima of the local density of states for one-dimensional periodic systems," Europhys. Lett. 46, 419-424 (1999). [CrossRef]
  10. G. S. Agarwal,"Quantum electrodynamics in the presence of dielectrics and conductors. Parts I-III," Phys. Rev. A 11, 230-264 (1975). [CrossRef]
  11. A. A. Asatryan, K. Busch, R. C. McPhedran, L.C. Botten, C. Martijn de Sterke, and N. A. Nicorovici, "Two-dimensional Green function and local density of states in photonic crystals consisting of a finite number of cylinders of infinite length," Phys. Rev. E submitted.
  12. J. M. Bendickson, J. P. Dowling, and M. Scalora, "Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures," Phys. Rev. E 53, 4107-4121 (1996). [CrossRef]
  13. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, 10096-10099 (1998). [CrossRef]
  14. B. Gralak, S. Enoch, and G. Tayeb, "Anomalous refractive properties of photonic crystals," J. Opt. Soc. Am. A 17, 1012-1020 (2000). [CrossRef]
  15. J. D. Joanopoulos, R. D. Meade and J. N. Winn, "Photonic Crystals: Molding the Flow of Light," (Princeton University Press. Princeton, NJ, 1995).

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