Analytical analysis of defect lines in two-dimensional photonic crystals based on polynomial expansion of electromagnetic fields

Khashayar Mehrany; Sina Khorasani; Maysamreza Chamanzar; Amir Hossein Atabaki; Bizhan Rashidian

doi:10.1117/12.645932

1 March 2006 Analytical analysis of defect lines in two-dimensional photonic crystals based on polynomial expansion of electromagnetic fields

Khashayar Mehrany, Sina Khorasani, Maysamreza Chamanzar, Amir Hossein Atabaki, Bizhan Rashidian

Author Affiliations +

Proceedings Volume 6128, Photonic Crystal Materials and Devices IV; 61281Q (2006) https://doi.org/10.1117/12.645932
Event: Integrated Optoelectronic Devices 2006, 2006, San Jose, California, United States

Abstract

Analytical analysis of straight single-line defect optical waveguides in two dimensional photonic crystals based on expanding electromagnetic fields in terms of Hermite polynomials is reported. This novel electromagnetic field expression is substituted in Helmholtz equation, a new set of linear ordinary differential equations with variable coefficients are obtained, and by employing differential transfer matrix method; defect modes, i.e. the guided modes propagating in the line defect waveguide, are analytically derived. The validity of the results obtained by applying the proposed approach are confirmed by comparing them to those derived by using finite difference time domain method.

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Khashayar Mehrany, Sina Khorasani, Maysamreza Chamanzar, Amir Hossein Atabaki, and Bizhan Rashidian "Analytical analysis of defect lines in two-dimensional photonic crystals based on polynomial expansion of electromagnetic fields", Proc. SPIE 6128, Photonic Crystal Materials and Devices IV, 61281Q (1 March 2006); https://doi.org/10.1117/12.645932

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