Coupled mode analysis of the photonic crystal waveguide
- Creators
- Choi, John M.
- Xu, Yong
- Yariv, Amnon
- Others:
- Adibi, Ali
- Scherer, Axel
- Lin, Shawn-Yu
Abstract
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.
Additional Information
© 2003 Society of Photo-Optical Instrumentation Engineers (SPIE). The authors would like to thank AFOSR (H. Schlossberg), DARPA (R. Athale), and ONR (Y. S. Park) for their generous support of this work.Attached Files
Published - 144.pdf
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Additional details
- Eprint ID
- 87741
- Resolver ID
- CaltechAUTHORS:20180710-161254226
- Air Force Office of Scientific Research (AFOSR)
- Defense Advanced Research Projects Agency (DARPA)
- Office of Naval Research (ONR)
- Created
-
2018-07-10Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
- Series Name
- Proceedings of SPIE
- Series Volume or Issue Number
- 5000