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Band structures analysis of one-dimensional photonic crystals using plane wave expansion

Journal of Beijing Institute of Technology 2012年第1期21卷 85-90页

作者：李萍李卓 School of Optoelectronics Beijing Institute of Technology College of Medical Technology and Engineering Henan University of Science and Technology

A theoretical analysis is made, using plane wave expansion, on how the width of the first three band gaps is influenced by filling ratio, dielectric constant ratio, and periodic width in one-dimensional photonic crystals （PhCs）. From simulation and analysis, there are one, two, and three peak points on the first, second and third band gaps respectively with the changes of filling ratio un- der fixed dielectric constant ratio. When filling ratio is fixed, the bandwidth of the first band gap consistently increases with dielectric constant ratio. However, no similar trend is observed in the second and the third band gaps. Because of scaling properties, varying periodic width does not alter the relative bandwidth.

关键词： photonic crystals plane wave expansion bandwidth

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INFLUENCES OF ANISOTROPY ON BAND GAPS OF 2D PHONONIC CRYSTAL

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Acta Mechanica Solida Sinica 2010年第2期23卷 181-188页

作者： Zhengqiang Zhan Peijun Wei 1(Department of Mathematics and Mechanics,School of Applied Science,University of Science and Technology Beijing,Beijing 100083,China) Department of Mathematics and Mechanics School of Applied Science University of Science and Technology Beijing Beijing China

Band gaps of 2D phononic crystal with orthotropic cylindrical fillers embedded in the isotropic host are studied in this paper. Two kinds of periodic structures, namely, the square lattice and the triangle lattice, are considered. For anisotropic phononic crystal, band gaps not only depend on the periodic lattice but also the angle between the symmetry axis of orthotropic material and that of the periodic structure. Rotating these cylindrical fillers makes the angle changing continuously; as a result, pass bands and forbidden bands of the phononic crystal are changed. The plane wave expansion method is used to reduce the band gap problem to an eigenvalue problem. The numerical example is given for YBCO/Epoxy composites. The location and the width of band gaps are estimated for different rotating angles. The influence of anisotropy on band gaps is discussed based on numerical results.

关键词： phononic crystal orthotropy band gap periodicity plane wave expansion

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维普期刊数据库

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THE INFLUENCE OF MATERIAL CONSTANTS ON BAND GAPS OF PIEZOELECTRIC PHONONIC CRYSTAL

THE INFLUENCE OF MATERIAL CONSTANTS ON BAND GAPS OF PIEZOELE...

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第三届全国压电和声波理论及器件技术研讨会

作者： Jun-chang HAN,Zheng-qiang ZHAN,Pei-jun WEI Department of Mathematics and Mechanics,University of Science and Technology Beijing,Beijing 100083,China

Band gaps of 2D piezoelectric phononic crystal and the influence of material constants are *** equations of 2D phononic crystal with piezoelectric ceramic cylinders embedded periodically in polymer host are derived based on plane wave expansion method ***,dispersive equations are numerically solved and the wave band gap distribution is obtained in the first Brillouin *** influence on wave band gap of elastic constants,piezoelectric constants and dielectric constants are compared and some interesting conclusions are finally given.

关键词： Phononic crystal band gap piezoelectricity plane wave expansion Brillouin zone

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