The application of the mode-matching (MM) method in the case of photonic crystal waveguide discontinuities is presented. The structure under consideration is divided into a number of cells, and the modes of each cell are calculated by an alternative formulation of the plane-wave expansion (PWE) method. This formulation allows the calculation of both guided and evanescent modes at a given frequency. A matrix equation is then formed relating the modal amplitudes at the beginning and the end of the structure. The accuracy of the MM method is compared to the finite-difference frequency-domain (FDFD) method and the finite-difference time-domain (FDTD) method, and good agreement is observed. The MM method requires far fewer resources than the FDFD and the FDTD methods while providing a useful physical insight to the calculation of the frequency response of waveguide discontinuities. The method is also applied to the calculation of power loss due to structural fabrication-induced variations.
© 2007 Optical Society of America
Fiber and Waveguide Designs
Original Manuscript: August 30, 2006
Revised Manuscript: February 10, 2007
Manuscript Accepted: February 15, 2007
Published: July 19, 2007
Athanasios Theocharidis, Thomas Kamalakis, and Thomas Sphicopoulos, "Analysis of photonic crystal waveguide discontinuities using the mode matching method and application to device performance evaluation," J. Opt. Soc. Am. B 24, 1698-1706 (2007)