1. Local density of states of a finite-sized rectangular-lattice photonic crystal with separable profile of permittivity
- Author
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Amir H. Baradaran Ghasemi, Amir H. Atabaki, Sina Khorasani, and Hamid Latifi
- Subjects
Physics ,Permittivity ,Local density of states ,business.industry ,General Engineering ,General Physics and Astronomy ,Square lattice ,Computational physics ,Separable space ,Resonator ,Optics ,Lattice (order) ,Density of states ,business ,Photonic crystal - Abstract
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 evaluatio...
- Published
- 2010
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