Abstract

In this paper, the accuracy of coupled-mode theory (CMT) and mode-matching (MM) method in estimating the scattering due to geometric perturbations in photonic crystal waveguides (PCWs) is examined. Two CMT formulations are considered: 1) the instantaneous virtual grating and 2) the conventional CMT. The two CMT formulations and the MM method are compared against the finite-difference frequency-domain (FDFD) method combined with the adjoint variable (AV) method. The results obtained with the AV/FDFD and MM methods agree very well, proving the validity of the latter for the sensitivity analysis of PCW structures. It is also deduced that although both CMT formulations lead to almost identical results, they can provide only a first approximation to the perturbation-induced scattering.

© 2007 IEEE

Analysis of photonic crystal waveguide discontinuities using the mode matching method and application to device performance evaluation

Athanasios Theocharidis, Thomas Kamalakis, and Thomas Sphicopoulos
J. Opt. Soc. Am. B 24(8) 1698-1706 (2007)

Analysis of photonic crystal waveguide gratings with coupled-mode theory and a finite-element method

Takeshi Fujisawa and Masanori Koshiba
Appl. Opt. 45(17) 4114-4121 (2006)

Coupled-mode analysis of contra-directional coupling between two asymmetric photonic crystal waveguides

Vakhtang Jandieri, Kiyotoshi Yasumoto, and Jaromir Pistora
J. Opt. Soc. Am. A 31(3) 518-523 (2014)

Coupling loss minimization of slow light slotted photonic crystal waveguides using mode matching with continuous group index perturbation

Che-Yun Lin, Alan X. Wang, Wei-Cheng Lai, John L. Covey, Swapnajit Chakravarty, and Ray T. Chen
Opt. Lett. 37(2) 232-234 (2012)

Analysis of photonic crystals with defects using coupled-mode theory

Vladislav R. Shteeman, Inna Nusinsky, Eli Kapon, and Amos A. Hardy
J. Opt. Soc. Am. B 26(6) 1248-1255 (2009)