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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 10 — May. 12, 2008
  • pp: 6974–6984

Periodicity enclosed in boundaries: local density of states in photonic clusters

V. Prosentsov and A. Lagendijk  »View Author Affiliations

Optics Express, Vol. 16, Issue 10, pp. 6974-6984 (2008)

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We have studied the effect of the boundaries on the local density of states (LDOS) in one-, two-, and three-dimensional finite size photonic structures. The LDOS was calculated with the help of the local perturbation method (LPM) and a new LPM-Bloch method using periodicity of the system. The methods are applicable for the clusters made of small (relative to the incident wavelength) particles or for the clusters which can be considered as made of such particles. It was demonstrated that the LPM-Bloch method is an accurate numerical tool for calculation of the LDOS in the finite size photonic structures with weak interference.

© 2008 Optical Society of America

OCIS Codes
(290.5850) Scattering : Scattering, particles
(350.4238) Other areas of optics : Nanophotonics and photonic crystals

ToC Category:
Photonic Crystals

Original Manuscript: February 5, 2008
Revised Manuscript: March 30, 2008
Manuscript Accepted: April 2, 2008
Published: May 1, 2008

V. Prosentsov and A. Lagendijk, "Periodicity enclosed in boundaries: local density of states in photonic clusters," Opt. Express 16, 6974-6984 (2008)

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  1. A. A. Asatryan, L. C. Botten, N. A. Nicorovici, R. C. McPhedran, and C. Martijn de Sterke, "Frequency shift of sources embedded in finite two-dimensional photonic clusters," Waves Random Complex Media 16, 151-165 (2006). [CrossRef]
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  4. V. Prosyentsov and A. Lagendijk, "The local density of states in finite size photonic structures, small particles approach," Photonics Nanostruct. 5, 189-199 (2007). [CrossRef]
  5. S. Kole, New methods for the numerical solution of Maxwell�??s equations, Ph. D. thesis, University of Groningen (2003).
  6. M. Wubs and A. Lagendijk, "Local optical density of states in finite crystals of plane scatterers," Phys. Rev. E 65, 046612 (2002). [CrossRef]
  7. R. C. McPhedran, L. C. Botten, J. McOrist, A. A. Asatryan, C. M. de Sterke, and N. A. Nicorovici, Density of States Functions for Photonic Crystals, Phys. Rev. E 69, 016609 (2004). [CrossRef]

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