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
Original Manuscript: July 25, 2006
Revised Manuscript: August 27, 2006
Manuscript Accepted: September 9, 2006
Published: November 9, 2006
Ming Li, Xinhua Hu, Zhuo Ye, Kai-Ming Ho, Jiangrong Cao, and Mamoru Miyawaki, "Higher-order incidence transfer matrix method used in three-dimensional photonic crystal coupled-resonator array simulation," Opt. Lett. 31, 3498-3500 (2006)