NDLI: Band gaps calculation of scalar waves in two-dimensional phononic crystals with Generalized Multipole Technique (GMT)

Content Provider	IEEE Xplore Digital Library
Author	Zhi-jie Shi Yue-sheng Wang Chuan-zeng Zhang
Copyright Year	2012
Description	Author affiliation: Institute of Engineering Mechanics, Beijing Jiaotong University, 100044, China (Zhi-jie Shi; Yue-sheng Wang) \|\| Department of Civil Engineering, University of Siegen, D-57068, Germany (Chuan-zeng Zhang)
Abstract	A numerical method based on the Generalized Multipole Technique (GMT) is proposed to calculate the band gaps of scalar waves in two-dimensional phononic crystal, which is composed of arbitrary shape cylinders embedded in a host medium in square lattice. In order to find the eigenvalues of the problem, besides the sources used to expand the wave field, an extra monopole source is introduced which acts as the external excitation. By varying the frequency of the excitation, the eigenvalue can be localized as the extreme points of an appropriately chosen function. By sweeping the frequency range of interest and sweeping the boundary of the irreducible first Brillouin zone (FBZ), the band structure will be obtained. Some numerical examples are illustrated to validate the present method.
Starting Page	183
Ending Page	186
File Size	739265
Page Count	4
File Format	PDF
ISBN	9781467348140
DOI	10.1109/SPAWDA.2012.6464066
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-11-23
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Phononic crystals Photonic band gap Band gaps Lattices Eigenvalue problems Crystals Vectors Eigenvalues and eigenfunctions Generalized multipole technique (GMT) Mathematical model Equations
Content Type	Text
Resource Type	Article

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