title: Determination of complex modes in photonic crystal waveguides using the phase variation in characteristic coefficients.
abstract: 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.
authors.affiliation: School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332, USA.
authors.forename: Amir Hossein
authors.initials: AH
authors.lastname: Hosseinnia
authors.forename: Amin
authors.initials: A
authors.lastname: Khavasi
authors.forename: Peyman
authors.initials: P
authors.lastname: Sarrafi
authors.forename: Khashayar
authors.initials: K
authors.lastname: Mehrany