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Large photonic band gaps in certain periodic and quasiperiodic networks in two and three dimensions

2004/09/10 by S. K. Cheung, Sai-Kit Cheung, T. L. Chan +4
Engineering · Physics and Astronomy · #Photonic Crystals and Applications #Photonic and Optical Devices #Terahertz technology and applications #cond-mat.dis-nn #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevb.70.125104

7 pages, 10 figures and 1 table. Published in Phys. Rev. B, 70, 125104 (2004)

openalex publication_date 2004/09/10 · arxiv created 2005/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The photonic band structures in certain two- and three-dimensional periodic networks made of one-dimensional waveguides are studied by using the Floquet-Bloch theorem. We find that photonic band gaps exist only in those structures where the fundamental loop exhibits antiresonant transmission. This is also true for quasiperiodic networks in two and three dimensions, where the photonic band structures are calculated from the spectra of total transmission arising from a source inside the samples. In all the cases we have studied, it is also found that the gap positions in a network are dictated by the frequencies at which the antiresonance occurs.

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