A numerical method for computing the scattering matrix by the boundary element method with applications to phononic band analysis

K. Matsushima; H. Isakari; T. Takahashi; T. Matsumoto

doi:10.1109/MetaMaterials.2019.8900812

A numerical method for computing the scattering matrix by the boundary element method with applications to phononic band analysis

K. Matsushima, H. Isakari, T. Takahashi, T. Matsumoto

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We present a numerical method for computing scattering matrices (S-matrices) of periodic elastic structures using the boundary element method (BEM) with periodic Green's function. We first analyse elastic wave scattering of a single grating composed of a host matrix and periodic inclusions by the BEM and then construct the S-matrix from the obtained solutions and integral representations of reflection and transmission coefficients. In this paper, we demonstrate a numerical example of a phononic band calculation as an application of the S-matrix and confirm the effectiveness of our proposed method.

Original language	English
Title of host publication	2019 13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	X248-X250
ISBN (Electronic)	9781728104775
DOIs	https://doi.org/10.1109/MetaMaterials.2019.8900812
Publication status	Published - 2019 Sept
Externally published	Yes
Event	13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019 - Rome, Italy Duration: 2019 Sept 16 → 2019 Sept 21

Publication series

Name	2019 13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019

Conference

Conference	13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019
Country/Territory	Italy
City	Rome
Period	19/9/16 → 19/9/21

ASJC Scopus subject areas

Electrical and Electronic Engineering
Electronic, Optical and Magnetic Materials
Instrumentation
Atomic and Molecular Physics, and Optics

Access to Document

10.1109/MetaMaterials.2019.8900812

Cite this

Matsushima, K., Isakari, H., Takahashi, T., & Matsumoto, T. (2019). A numerical method for computing the scattering matrix by the boundary element method with applications to phononic band analysis. In 2019 13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019 (pp. X248-X250). [8900812] (2019 13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MetaMaterials.2019.8900812

A numerical method for computing the scattering matrix by the boundary element method with applications to phononic band analysis. / Matsushima, K.; Isakari, H.; Takahashi, T. et al.

2019 13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. X248-X250 8900812 (2019 13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Matsushima, K, Isakari, H, Takahashi, T & Matsumoto, T 2019, A numerical method for computing the scattering matrix by the boundary element method with applications to phononic band analysis. in 2019 13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019., 8900812, 2019 13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019, Institute of Electrical and Electronics Engineers Inc., pp. X248-X250, 13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019, Rome, Italy, 19/9/16. https://doi.org/10.1109/MetaMaterials.2019.8900812

Matsushima K, Isakari H, Takahashi T, Matsumoto T. A numerical method for computing the scattering matrix by the boundary element method with applications to phononic band analysis. In 2019 13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. X248-X250. 8900812. (2019 13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019). doi: 10.1109/MetaMaterials.2019.8900812

Matsushima, K. ; Isakari, H. ; Takahashi, T. et al. / A numerical method for computing the scattering matrix by the boundary element method with applications to phononic band analysis. 2019 13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019. Institute of Electrical and Electronics Engineers Inc., 2019. pp. X248-X250 (2019 13th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2019).

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abstract = "We present a numerical method for computing scattering matrices (S-matrices) of periodic elastic structures using the boundary element method (BEM) with periodic Green's function. We first analyse elastic wave scattering of a single grating composed of a host matrix and periodic inclusions by the BEM and then construct the S-matrix from the obtained solutions and integral representations of reflection and transmission coefficients. In this paper, we demonstrate a numerical example of a phononic band calculation as an application of the S-matrix and confirm the effectiveness of our proposed method.",

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AB - We present a numerical method for computing scattering matrices (S-matrices) of periodic elastic structures using the boundary element method (BEM) with periodic Green's function. We first analyse elastic wave scattering of a single grating composed of a host matrix and periodic inclusions by the BEM and then construct the S-matrix from the obtained solutions and integral representations of reflection and transmission coefficients. In this paper, we demonstrate a numerical example of a phononic band calculation as an application of the S-matrix and confirm the effectiveness of our proposed method.

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A numerical method for computing the scattering matrix by the boundary element method with applications to phononic band analysis

Abstract

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