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PIER PIER B PIER C PIER M PIER Letters
2021-10-22
Calculations of Bands and Band Field Solutions in Topological Acoustics Using the Broadband Green's Function-KKR-Multiple Scattering Method
By
Leung Tsang,

    Professor Leung Tsang

    Department of Electrical Engineering and Computer Science

    University of Michigan

    USA

    Homepage

Tien-Hao Liao,

    Dr. Tien-Hao Liao

    California Institute of Technology

    USA

    Homepage

Shurun Tan

    Professor Shurun Tan

    College of Information Science and Electronic Engineering

    Zhejiang University

    China

    Homepage

Progress In Electromagnetics Research, Vol. 171, 137-158, 2021
doi:10.2528/PIER21081706
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.
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
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