A self-contained coupled-mode formulation for coupled two-dimensional photonic-crystal waveguides (PCWs) is discussed. Using a perturbation theory, the first-order coupled-mode equations are systematically derived, which govern the evolution of the modal amplitude of individual PCWs in isolation. The coupled-mode equations are used to analyze the coupled symmetric PCWs consisting of a square lattice of circular dielectric rods or air holes. It is shown that the results are in good agreement with those obtained by the rigorous direct analysis of the coupled waveguide system.
© 2012 Optical Society of America
Diffraction and Gratings
Original Manuscript: September 26, 2012
Revised Manuscript: November 22, 2012
Manuscript Accepted: November 23, 2012
Published: December 14, 2012
Kiyotoshi Yasumoto, Vakhtang Jandieri, and Yunfei Liu, "Coupled-mode formulation of two-parallel photonic-crystal waveguides," J. Opt. Soc. Am. A 30, 96-101 (2013)