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9 July 2003 Coupled mode analysis of the photonic crystal waveguide
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Proceedings Volume 5000, Photonic Crystal Materials and Devices; (2003)
Event: Integrated Optoelectronics Devices, 2003, San Jose, CA, United States
Starting from an intuitive picture of photons bouncing back and forth within a slab of a uniform medium surrounded by photonic crystal (PC) layers, we develop a coupled mode formalism for the analysis of a PC waveguide. The modal solution in the core is given by counter-propagating waves while the cladding field is derived from a modified coupled mode formalism. This coupled mode approach is used to analyze the dispersion and loss of the PC waveguide. Although coupled mode theory is usually applied to structures with a small index contrast perturbation, we find that our coupled mode formalism with an empirical coupling constant can be used to model a large index contrast PC waveguide. A single constant is used to analyze the dispersion and the loss of a two dimensional PC waveguide, a GaAs substrate with air holes. Our results are corroborated with a two dimensional finite-difference time-domain (FDTD) simulation and we find good quantitative agreement between the coupled mode theory and the FDTD analysis.
© (2003) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
John M. Choi, Yong Xu, and Amnon Yariv "Coupled mode analysis of the photonic crystal waveguide", Proc. SPIE 5000, Photonic Crystal Materials and Devices, (9 July 2003);

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