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Calculations of Bands and Band Field Solutions in Topological Acoustics Using the Broadband Green's Function-KKR-Multiple Scattering Method

Tsang, Leung and Liao, Tien-Hao and Tan, Shurun (2021) Calculations of Bands and Band Field Solutions in Topological Acoustics Using the Broadband Green's Function-KKR-Multiple Scattering Method. Progress In Electromagnetics Research, 171 . pp. 137-158. ISSN 1070-4698. doi:10.2528/pier21081706. https://resolver.caltech.edu/CaltechAUTHORS:20220104-157869000

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Abstract

In this paper, we apply the BBGF-KKR-MST (Broadband Green's function-KKR-Multiple Scattering Theory) to calculate Band Structures and Band Field Solutions in topological acoustics. A feature of BBGF is that the lattice Green's functions are broadband, and the transformations to cylindrical waves are calculated rapidly for many frequencies for speedy calculation of the determinant of the KKR equation. For the two bands of interest, only 5 cylindrical waves are sufficient so that the dimension of the eigenvalue matrix equation is only 5. The CPU time requirement, including setup and using MATLAB on a standard laptop, is 5 milliseconds for a band eigenvalue. Using the eigenvalue and the scattered field eigenvector, the field in the cell is calculated by higher order cylindrical waves. The exciting field of higher order cylindrical waves requires only 11 coefficients to represent the band field solutions in the cell. Comparisons are made with the results of the volume integral equation method and the commercial software COMSOL. The BBGF-KKR-MST method is significantly faster.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.2528/PIER21081706DOIArticle
ORCID:
AuthorORCID
Tsang, Leung0000-0003-3192-2799
Liao, Tien-Hao0000-0002-0678-5545
Tan, Shurun0000-0002-7331-3484
Additional Information:© 2021 The Electromagnetics Academy. Received 17 August 2021, Accepted 17 October 2021, Scheduled 22 October 2021. We thank Zhaoyang Feng for making the calculations of COMSOL in this paper.
DOI:10.2528/pier21081706
Record Number:CaltechAUTHORS:20220104-157869000
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220104-157869000
Official Citation:Leung Tsang, Tien-Hao Liao, and Shurun Tan, "Calculations of Bands and Band Field Solutions in Topological Acoustics Using the Broadband Green's Function-KKR-Multiple Scattering Method," Progress In Electromagnetics Research, Vol. 171, 137-158, 2021. doi:10.2528/PIER21081706 http://www.jpier.org/PIER/pier.php?paper=21081706
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:112676
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:04 Jan 2022 23:35
Last Modified:04 Jan 2022 23:41

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