Two-dimensional phononic crystals and scattering of elastic waves by an array of voids

被引：30
|
作者：
Platts, SB [1 ]
Movchan, NV
McPhedran, RC
Movchan, AB
机构：
[1] Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England
[2] Univ Sydney, Sch Phys, Sydney, NSW 2006, Australia
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2002年 / 458卷 / 2026期
关键词：
phononic crystals; scattering; elastic waves; multipole expansions;
D O I：
10.1098/rspa.2002.0960
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We study the diffraction of plane elastic waves by a grating of circular holes in an elastic matrix, using a multipole formulation to determine scattering matrices, for both the scalar (out-of-plane shear) and vector (plane-strain) problems. We use these matrices in a recurrence procedure to analyse the reflection and transmission properties of a stack containing an arbitrary number of such gratings. We establish the form of symmetry properties that may be used to verify the elastodynamic scattering matrices and comment on the filtering properties of grating stacks and their relationship to phononic band diagrams.
引用
收藏
页码：2327 / 2347
页数：21
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