Controlling elastic waves with isotropic materials

被引:46
作者
Chang, Zheng [2 ]
Hu, Jin [1 ]
Hu, Gengkai [2 ]
Tao, Ran [1 ]
Wang, Yue [1 ]
机构
[1] Beijing Inst Technol, Sch Informat & Elect, Beijing 100081, Peoples R China
[2] Beijing Inst Technol, Sch Aerosp Engn, Beijing 100081, Peoples R China
基金
中国国家自然科学基金;
关键词
CLOAK;
D O I
10.1063/1.3569598
中图分类号
O59 [应用物理学];
学科分类号
摘要
Design of functional devices with isotropic materials has significant advantages, as regards easy fabrication and broadband application. In this letter, we present a method to derive isotropic transformation material parameters for elastodynamics under local conformal transformation. The transformed material parameters are then applied to design a beam bender, a four-beam antenna and an approximate carpet cloak for elastic wave with isotropic materials, validated by the numerical simulations. (C) 2011 American Institute of Physics. [doi:10.1063/1.3569598]
引用
收藏
页数:3
相关论文
共 21 条
[1]  
Achenbach JD., 1973, Wave propagation in elastic solids
[2]   Design method for quasi-isotropic transformation materials based on inverse Laplace's equation with sliding boundaries [J].
Chang, Zheng ;
Zhou, Xiaoming ;
Hu, Jin ;
Hu, Gengkai .
OPTICS EXPRESS, 2010, 18 (06) :6089-6096
[3]   Acoustic cloaking in three dimensions using acoustic metamaterials [J].
Chen, Huanyang ;
Chan, C. T. .
APPLIED PHYSICS LETTERS, 2007, 91 (18)
[4]   Material parameters and vector scaling in transformation acoustics [J].
Cummer, Steven A. ;
Rahm, Marco ;
Schurig, David .
NEW JOURNAL OF PHYSICS, 2008, 10
[5]   Theory and experiment of isotropic electromagnetic beam bender made of dielectric materials [J].
Deng, Qibo ;
Hu, Jin ;
Chang, Zheng ;
Zhou, Xiaoming ;
Hu, Gengkai .
ADVANCES IN COMPOSITES, PTS 1 AND 2, 2011, 150-151 :1508-+
[6]   Algorithm 756: A MATLAB toolbox for Schwarz-Christoffel mapping [J].
Driscoll, TA .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1996, 22 (02) :168-186
[7]  
Greenleaf A, 2003, MATH RES LETT, V10, P685
[8]  
HU J, ARXIV10081641
[9]  
Lai W. M., 1995, INTRO CONTINUUM MECH
[10]   Optical conformal mapping [J].
Leonhardt, Ulf .
SCIENCE, 2006, 312 (5781) :1777-1780