Finite differencing of periodic structures

Jerry C. Chen; Shanhui Fan; Attila Mekis; I. Kurland; Pierre R. Villeneuve; Kangjie Li; Hermann A. Haus; John D. Joannopoulos

doi:10.1117/12.275573

6 June 1997 Finite differencing of periodic structures

Jerry C. Chen, Shanhui Fan, Attila Mekis, I. Kurland, Pierre R. Villeneuve, Kangjie Li, Hermann A. Haus, John D. Joannopoulos

Author Affiliations +

Proceedings Volume 2994, Physics and Simulation of Optoelectronic Devices V; (1997) https://doi.org/10.1117/12.275573
Event: Photonics West '97, 1997, San Jose, CA, United States

Abstract

Finite difference time domain is a powerful numerical method. We review our modeling and design of optical gratings and 2D photonic crystals, aided by the recently developed quartic perfectly matched layer boundary condition. For optical gratings with a quarter wave phase shift, we show that light can be confined in an air bridge micro-cavity. Such devices exhibit sharp transmission resonances in the stop bands. Photonic crystals also demonstrate strong localization of light so waveguides of air can be formed. In addition, even when the bending radius is zero, the transmission exceeds 0.95 percent.

Citation Download Citation

Jerry C. Chen, Shanhui Fan, Attila Mekis, I. Kurland, Pierre R. Villeneuve, Kangjie Li, Hermann A. Haus, and John D. Joannopoulos "Finite differencing of periodic structures", Proc. SPIE 2994, Physics and Simulation of Optoelectronic Devices V, (6 June 1997); https://doi.org/10.1117/12.275573

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