Calculation of density of states in a 2D photonic crystal with separable profile of permittivity

Amir H. Baradaran Ghasemi; Sina Khorasani; Hamid Latifi; Amir Hossein Atabaki

doi:10.1117/12.765443

28 January 2008 Calculation of density of states in a 2D photonic crystal with separable profile of permittivity

Amir H. Baradaran Ghasemi, Sina Khorasani, Hamid Latifi, Amir Hossein Atabaki

Proceedings Volume 6901, Photonic Crystal Materials and Devices VII; 69010R (2008) https://doi.org/10.1117/12.765443
Event: Integrated Optoelectronic Devices 2008, 2008, San Jose, California, United States

Abstract

When the periodic permittivity of two-dimensional (2D) photonic crystal (PC) can be separated in x- and y- coordinates, one can consider the structure as two separate 1D photonic crystals, one of them being periodic in x coordinate and the other in y coordinate. If it is possible to find a proper separable permittivity function, we can approximate a 2D PC with two distinct 1D structures. One of the advantages is rapid calculation the density of state of a 2D PC. In this article an analytical calculation of the density of states for such a 2D PC has been done with the aim of taking this advantage. For calculating the density of states we use the effective resonance approach to analyze the 1D PC.

Citation Download Citation

Amir H. Baradaran Ghasemi, Sina Khorasani, Hamid Latifi, and Amir Hossein Atabaki "Calculation of density of states in a 2D photonic crystal with separable profile of permittivity", Proc. SPIE 6901, Photonic Crystal Materials and Devices VII, 69010R (28 January 2008); https://doi.org/10.1117/12.765443

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