An improved method of eigen-mode matching theory in two-dimensional phononic crystal

• Published in: Physica. B, Condensed matter Vol. 388; no. 1; pp. 75 - 81
• Main Authors: Yao, Yuanwei, Hou, Zhilin, Cao, Yongjun, Liu, Youyan
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.01.2007; Elsevier
• Subjects: Band structure; Condensed matter: structure, mechanical and thermal properties; Exact sciences and technology; Lattice dynamics; Other topics in lattice dynamics; Phononic crystal; Physics; Transmission coefficient; 61.72.Ji; 62.60. + v; Phononic crystal; Band structure; 43.20. + g; Transmission coefficient; Eigenmode; Epoxy resin; Boundary conditions; Elastic material; Numerical method; Matching; Wave transmission; Lead; Phononic crystal; Band structure; Transmission coefficient; Isotropic material; 43.20.+g; 61.72.Ji; 62.60.+v
• ISSN: 0921-4526; 1873-2135
• DOI: 10.1016/j.physb.2006.05.138

The eigen-mode matching theory has been improved to be able to calculate not only the dynamic transmission coefficient but also the phononic band structure at the same time. The system with rectangle elastic isotropic lead rods embedded in uniform epoxy has been investigated as a practical example. The numerical results reveal that the method has a good convergency in calculating the phononic band structure and is also much more efficient to calculate the transmission coefficient. This new method can be extensively used in the propagation problems of the layered phononic crystal systems.