Convergence problem of plane-wave expansion method for phononic crystals

被引：180

作者：

Cao, YJ ^{[1
]}

Hou, ZL ^{[1
]}

Liu, YY ^{[1
]}

机构：

[1] S China Univ Technol, Dept Phys, Guangzhou 510640, Peoples R China

来源：

PHYSICS LETTERS A | 2004年 / 327卷 / 2-3期

基金：

中国国家自然科学基金;

关键词：

phononic crystal; convergence problem;

D O I：

10.1016/j.physleta.2004.05.030

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new formulation of eigenproblem for phononic crystals is developed. The convergence of the new formulation in the band-structure calculations is examined in detail and compared with that of the conventional plane wave expansion (CPWE) method. Numerical results show that the slow convergence of the CPWE method is not due to the slow convergence of the Fourier series for the elastic coefficients (or displacement fields) in the interfaces of different materials, but to the inappropriate formulation of the eigenproblem used in the calculations. Numerical calculations also show that the new formulation can provide much more accurate numerical results than the CPWE method for the systems of either very high or very low filling fractions, or of large elastic mismatch. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：247 / 253

页数：7

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