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Proceedings Paper

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

Paper Details

Date Published: 1 March 2006
PDF: 6 pages
Proc. SPIE 6128, Photonic Crystal Materials and Devices IV, 61281Q (1 March 2006); doi: 10.1117/12.645932
Show Author Affiliations
Khashayar Mehrany, Sharif Univ. of Technology (Iran)
Sina Khorasani, Sharif Univ. of Technology (Iran)
Maysamreza Chamanzar, Sharif Univ. of Technology (Iran)
Amir Hossein Atabaki, Sharif Univ. of Technology (Iran)
Bizhan Rashidian, Sharif Univ. of Technology (Iran)

Published in SPIE Proceedings Vol. 6128:
Photonic Crystal Materials and Devices IV
Ali Adibi; Shawn-Yu Lin; Axel Scherer, Editor(s)

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