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Local density of states of a finite-sized rectangular-lattice photonic crystal with separable profile of permittivity

Baradaran Ghasemi, A. H ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1080/17455030.2010.482574
  3. Publisher: 2010
  4. Abstract:
  5. A different approach in the calculation of two-dimensional local density of states has been presented for a two-dimensional finite rectangular-lattice photonic crystal with a separable profile of permittivity. Approximate staircase structures are already shown to be useful for their ability to reproduce actual properties of practical square lattice photonic crystals. Using the effective resonance approach in a Fabry-Perot resonator and transfer matrix method an analytical expression for calculating a two-dimensional local density of states can be derived for both polarisations in the structure. It is shown that for this geometry one can resolve the modes as a product of two separate functions each being a function of x- and y-coordinates. The results have been investigated for the two-dimensional local density of states in the ordered finite structure and in the disordered structure. The main advantage of this method in calculating the local density of states is its extremely efficient numerical evaluations. As an application we introduce a cavity-like defect in the vicinity of a waveguide-like defect and examine the variation of local density of states in the plane of the structure at band gap frequency. © 2010 Taylor & Francis
  6. Keywords:
  7. Analytical expressions ; Band gaps ; Disordered structures ; Fabry-Perot resonators ; Finite structures ; Lattice photonic crystals ; Local density of state ; Numerical evaluations ; Square lattices ; Defect density ; Defects ; Fabry-Perot interferometers ; Permittivity ; Transfer matrix method ; Two dimensional ; Photonic crystals
  8. Source: Waves in Random and Complex Media ; Volume 20, Issue 3 , 2010 , Pages 419-442 ; 17455030 (ISSN)
  9. URL: http://www.tandfonline.com/doi/abs/10.1080/17455030.2010.482574