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References (29)
-
Jianhua Yuan, Y. Lu, X. Antoine (2008)
Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann mapsJ. Comput. Phys., 227
-
Y. Tanaka, Y. Tomoyasu, S. Tamura (2000)
Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatchPhysical Review B, 62
-
M. Sigalas, N. Garcı́a (2000)
Importance of coupling between longitudinal and transverse components for the creation of acoustic band gaps: The aluminum in mercury caseApplied Physics Letters, 76
-
M. Kushwaha, P. Halevi (1996)
Giant acoustic stop bands in two‐dimensional periodic arrays of liquid cylindersApplied Physics Letters, 69
-
E.N. Economou M. Kafesaki (1999)
Multiple scattering theory for 3D periodic acoustic compositesPhys. Rev. B, 60
-
Y.S. Wang F.L. Li (2008)
Band gap analysis of two-dimensional phononic crystals based on boundary element methodProc. 2008 IEEE Int. Ultras. Symp., 1–4
-
Zhi-Zhong Yan, Yuesheng Wang, Chuanzeng Zhang (2008)
Wavelet Method for Calculating the Defect States of Two-Dimensional Phononic CrystalsActa Mechanica Solida Sinica, 21
-
P. Sheng (1990)
Scattering And Localization Of Classical Waves In Random Media, 8
-
Fenglian Li, Yuesheng Wang, Chuanzeng Zhang (2011)
Bandgap calculation of two-dimensional mixed solid–fluid phononic crystals by Dirichlet-to-Neumann mapsPhysica Scripta, 84
-
M. Kushwaha, M. Kushwaha, M. Kushwaha, P. Halevi, P. Halevi, P. Halevi, L. Dobrzyński, L. Dobrzyński, L. Dobrzyński, B. Djafari-Rouhani, B. Djafari-Rouhani, B. Djafari-Rouhani (1993)
Acoustic band structure of periodic elastic composites.Physical review letters, 71 13
-
M. Sigalas, E. Economou (1992)
Elastic and acoustic wave band structureJournal of Sound and Vibration, 158
-
Zhi-Zhong Yan, Yuesheng Wang (2006)
Wavelet-based method for calculating elastic band gaps of two-dimensional phononic crystalsPhysical Review B, 74
-
J. Joannopoulos, Steven Johnson, J. Winn, R. Meade (1995)
Photonic Crystals: Molding the Flow of Light -
Chunyin Qiu, Zhengyou Liu, Jun Mei, Manzu Ke (2005)
The layer multiple-scattering method for calculating transmission coefficients of 2D phononic crystalsSolid State Communications, 134
-
Tsung-Tsong Wu, Zi-Gui Huang, S. Lin (2004)
Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropyPhysical Review B, 69
-
Fenglian Li, Yuesheng Wang (2011)
Application of Dirichlet-to-Neumann Map to Calculation of Band Gaps for Scalar Waves in Two-Dimensional Phononic CrystalsActa Acustica United With Acustica, 97
-
Zhi-Zhong Yan, Yuesheng Wang, Chuanzeng Zhang (2008)
A Method Based on Wavelets for Band Structure Analysis of Phononic CrystalsCmes-computer Modeling in Engineering & Sciences, 38
-
J. Pendry, A. Mackinnon (1992)
Calculation of photon dispersion relations.Physical review letters, 69 19
-
Jianhua Yuan, Y. Lu (2007)
Computing photonic band structures by Dirichlet-to-Neumann maps: The triangular latticeOptics Communications, 273
-
Ni Zhen, Y. Wang (2011)
Surface Effects on Bandgaps of Transverse Waves Propagating in Two Dimensional Phononic Crystals with Nanosized HolesMaterials Science Forum, 675-677
-
Jianhua Yuan, Y. Lu (2006)
Photonic bandgap calculations with Dirichlet-to-Neumann maps.Journal of the Optical Society of America. A, Optics, image science, and vision, 23 12
-
C. Mow, Y. Pao (1973)
Diffraction of elastic waves and dynamic stress concentrations -
(1999)
An efficient finite element method for computing spectra of photonic and acoustic band-gap materials: 1. Scalar case -
Y.S. Wang J.B. Li (2008)
Finite element method for analysis of band structures of three dimensional phononic crystalsProc. 2008 IEEE Int. Ultras. Symp., 1–4
-
Jun Mei, Zhengyou Liu, Jing Shi, D. Tian (2003)
Theory for elastic wave scattering by a two-dimensional periodical array of cylinders: An ideal approach for band-structure calculationsPhysical Review B, 67
-
E. Yablonovitch (1987)
Inhibited spontaneous emission in solid-state physics and electronics.Physical review letters, 58 20
-
G. Wang, Jihong Wen, Yaozong Liu, X. Wen (2004)
Lumped-mass method for the study of band structure in two-dimensional phononic crystalsPhysical Review B, 69
-
Fenglian Li, Yuesheng Wang (2008)
Band gap analysis of two-dimensional phononic crystals based on boundary element method2008 IEEE Ultrasonics Symposium
-
M. Kushwaha, P. Halevi (1994)
Band‐gap engineering in periodic elastic compositesApplied Physics Letters, 64
- Publisher
- Springer Journals
- Copyright
- 2012 The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
- ISSN
- 0567-7718
- eISSN
- 1614-3116
- DOI
- 10.1007/s10409-012-0092-9
- Publisher site
- See Article on Publisher Site
Abstract
Abstract In this paper, a method based on the Dirichletto-Neumann map is developed for bandgap calculation of mixed in-plane waves propagating in 2D phononic crystals with square and triangular lattices. The method expresses the scattered fields in a unit cell as the cylindrical wave expansions and imposes the Bloch condition on the boundary of the unit cell. The Dirichlet-to-Neumann (DtN) map is applied to obtain a linear eigenvalue equation, from which the Bloch wave vectors along the irreducible Brillouin zone are calculated for a given frequency. Compared with other methods, the present method is memory-saving and time-saving. It can yield accurate results with fast convergence for various material combinations including those with large acoustic mismatch without extra computational cost. The method is also efficient for mixed fluid-solid systems because it considers the different wave modes in the fluid and solid as well as the proper fluid-solid interface condition.
Journal
"Acta Mechanica Sinica" – Springer Journals
Published: Aug 1, 2012