An efficient frequency-domain method, the phase variation monitoring (PVM) method, is proposed to determine the electromagnetic eigenmodes in two-dimensional photonic crystal waveguides. The proposed method is based on monitoring the reflection and transmission coefficients of incident plane waves. It is successfully applied to an illustrative line-defect photonic crystal waveguide and proved to be capable of calculating the in-plane leakage through the finite-size photonic crystal surrounding the line-defect. Calculation of the leakage loss is not only important for proper understanding of wave propagation within the defect but also for its significant role in applications of photonic structures.
© 2012 Optical Society of America
Original Manuscript: March 19, 2012
Revised Manuscript: May 23, 2012
Manuscript Accepted: June 4, 2012
Published: July 18, 2012
Amir Hossein Hosseinnia, Amin Khavasi, Peyman Sarrafi, and Khashayar Mehrany, "Determination of complex modes in photonic crystal waveguides using the phase variation in characteristic coefficients," Opt. Lett. 37, 3078-3080 (2012)