Coupled mode analysis of the photonic crystal waveguide

John M. Choi; Yong Xu; Amnon Yariv

doi:10.1117/12.480061

9 July 2003 Coupled mode analysis of the photonic crystal waveguide

John M. Choi, Yong Xu, Amnon Yariv

Proceedings Volume 5000, Photonic Crystal Materials and Devices; (2003) https://doi.org/10.1117/12.480061
Event: Integrated Optoelectronics Devices, 2003, San Jose, CA, United States

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.

Citation Download Citation

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); https://doi.org/10.1117/12.480061

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available