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Band calculations using broadband Green’s functions and the KKR method with applications to magneto-optics and photonic crystals

Gao, Rouxing and Tsang, Leung and Tan, Shurun and Liao, Tien-Hao (2020) Band calculations using broadband Green’s functions and the KKR method with applications to magneto-optics and photonic crystals. Journal of the Optical Society of America B, 37 (12). pp. 3896-3907. ISSN 0740-3224. https://resolver.caltech.edu/CaltechAUTHORS:20210115-132722396

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Abstract

In this paper, we develop a method of simulations of using the broadband Green’s function (BBGF) in the Korringa Kohn Rostoker (KKR) method. The merit of the method is broadband such that once the initial setup is completed, the calculation at every frequency is calculated rapidly. The broadband Green’s function consists of a frequency-independent spatial summation and a spectral summation that has most of the factors frequency independent. Both summations have fast convergence. Analytical expressions of broadband coefficients of cylindrical waves are derived from the BBGF. The broadband cylindrical waves coefficients are then combined with the KKR method to calculate the determinant equation for a wide range of frequencies. Numerical results of the band diagrams and band surface currents are illustrated for magneto-optics and photonic crystals. The CPU time requirements, including setup, using MATLAB on a standard laptop, for computing the determinant at 1000 frequencies at a Bloch vector are 0.411 s and 1.206 s, respectively, for the cases of topological crystal of small scatterer relative to cell size and the photonic crystal of large scatterer comparable to cell size.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1364/josab.400824DOIArticle
ORCID:
AuthorORCID
Tsang, Leung0000-0003-3192-2799
Tan, Shurun0000-0002-7331-3484
Liao, Tien-Hao0000-0002-0678-5545
Additional Information:© 2020 Optical Society of America. Received 24 June 2020; revised 26 September 2020; accepted 5 October 2020; posted 8 October 2020 (Doc. ID 400824); published 24 November 2020. Funding. University of Michigan (start-up funds of Prof. Leung Tsang); National Natural Science Foundation of China (NSFC) Young Scholar Program (61901411). The authors declare no conflicts of interest.
Funders:
Funding AgencyGrant Number
University of MichiganUNSPECIFIED
National Natural Science Foundation of China61901411
Issue or Number:12
Record Number:CaltechAUTHORS:20210115-132722396
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210115-132722396
Official Citation:Rouxing Gao, Leung Tsang, Shurun Tan, and Tien-Hao Liao, "Band calculations using broadband Green’s functions and the KKR method with applications to magneto-optics and photonic crystals," J. Opt. Soc. Am. B 37, 3896-3907 (2020)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107520
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:15 Jan 2021 22:19
Last Modified:15 Jan 2021 22:19

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