Abstract

The plane-wave-based transfer matrix method with rational function interpolation and higher-order plane-wave incidence is proposed as an efficient calculation approach to simulate three-dimensional photonic crystal devices. As an example, the dispersion relations and quality factors are calculated for resonant cavity arrays embedded in a woodpile photonic crystal. An interesting ultraslow negative group velocity is observed in this structure.

© 2006 Optical Society of America

High-efficiency calculations for three-dimensional photonic crystal cavities

Ming Li, Z. Y. Li, Kai-Ming Ho, J. R. Cao, and Mamoru Miyawaki
Opt. Lett. 31(2) 262-264 (2006)

Improved differential-transfer-matrix method for inhomogeneous one-dimensional photonic crystals

Mohammad Hadi Eghlidi, Khashayar Mehrany, and Bizhan Rashidian
J. Opt. Soc. Am. B 23(7) 1451-1459 (2006)

Analysis of surface modes in photonic crystals by a plane-wave transfer-matrix method

Ming Che and Zhi-Yuan Li
J. Opt. Soc. Am. A 25(9) 2177-2184 (2008)

Fine tuning resonant frequencies for a single cavity defect in three-dimensional layer-by-layer photonic crystal

Preeti Kohli, Jacob Chatterton, Daniel Stieler, Gary Tuttle, Ming Li, Xinhua Hu, Zhuo Ye, and Kai-Ming Ho
Opt. Express 16(24) 19844-19849 (2008)

The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides

R.J.P. Engelen, Y. Sugimoto, Y. Watanabe, J.P. Korterik, N. Ikeda, N.F. van Hulst, K. Asakawa, and L. Kuipers
Opt. Express 14(4) 1658-1672 (2006)