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Phys. Rev. E 67, 025701(R) (2003) [4 pages]

Lattice Boltzmann model for photonic band gap materials

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Zhifang Lin, Haiping Fang, Jianjun Xu, and Jian Zi
Research Center for Theoretical Physics and Department of Physics, Fudan University, Shanghai 200433, China

Xiangdong Zhang
Department of Physics, The Hong Kong University of Science and Technology, Hong Kong, China

Received 7 November 2001; revised 17 October 2002; published 7 February 2003

An efficient technique for computing photonic band structure and defect modes is proposed based on the lattice Boltzmann model. Physically, it is a scheme based on the kinetics of the virtual microscopic process, rather than a solution of the macroscopic Maxwell equations. The method has significant advantages of being naturally suited for massively parallel machine, as well as speed and convenience, providing another methodology for photonic band gap materials and, also, for general electromagnetic scattering problems in open region when incorporated with the perfectly matched layer technique.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.67.025701
DOI:
10.1103/PhysRevE.67.025701
PACS:
02.70.-c, 42.70.Qs, 41.20.Jb, 05.20.Dd
 
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