Abstract

We present an analysis of highly-dispersive guided modes of two-dimensional photonic crystal waveguides. By the plane ave expansion method, band structures and mode profiles of two-dimensional photonic crystal waveguides are obtained. It is found that guided modes have very small group velocities and very large group velocity dispersions in the region near the f-point and in the region near the Brillouin zone edge. Especially, the group velocity dispersions are found to be millions of times larger than that of a conventional optical fiber. The contributions of the transverse resonance formed by two photonic band gap reflectors and the standing wave mode formed by periodic structures are discussed. We conclude that the highly-dispersive characteristics originate from the resonator-like aspect of the photonic crystal waveguide.

© 2003 Optical Society of Korea

Dispersion-guided resonances in two-dimensional photonic-crystal-embedded microcavities

Kevin K. Tsia and Andrew W. Poon
Opt. Express 12(23) 5711-5722 (2004)

Self-guiding in two-dimensional photonic crystals

Dmitry N. Chigrin, Stefan Enoch, Clivia M. Sotomayor Torres, and Gérard Tayeb
Opt. Express 11(10) 1203-1211 (2003)

Transverse-electric and transverse-magnetic mode slow light propagation in a two-dimensional photonic crystal waveguide

Donglin Wang, Zhongyuan Yu, Yumin Liu, Xiaotao Guo, Changgan Shu, and Shuai Zhou
Appl. Opt. 52(26) 6523-6528 (2013)

Design of large-bandwidth single-mode operation waveguides in silicon three-dimensional photonic crystals using two guided modes

Jiapeng Fu, Aniwat Tandaechanurat, Satoshi Iwamoto, and Yasuhiko Arakawa
Opt. Express 21(10) 12443-12450 (2013)

Local probing of Bloch mode dispersion in a photonic crystal waveguide

Rob J.P. Engelen, Tim J. Karle, Henkjan Gersen, Jeroen P. Korterik, Thomas F. Krauss, Laurens Kuipers, and Niek F. van Hulst
Opt. Express 13(12) 4457-4464 (2005)