Generalized Gilat–Raubenheimer method for density-of-states calculation in photonic crystals
An efficient numerical algorithm is the key for accurate evaluation of density of states (DOS) in band theory. The Gilat-Raubenheimer (GR) method proposed in 1966 is an efficient linear extrapolation method which was limited in specific lattices. Here, using an affine transformation, we provide a ne...
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| 格式: | 文件 |
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IOP Publishing
2018
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| 在线阅读: | http://hdl.handle.net/1721.1/115584 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-7244-3682 |
| _version_ | 1826208757734965248 |
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| author | Liu, Boyuan Lu, Ling Johnson, Steven G. Joannopoulos, John D. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Liu, Boyuan Lu, Ling Johnson, Steven G. Joannopoulos, John D. |
| author_sort | Liu, Boyuan |
| collection | MIT |
| description | An efficient numerical algorithm is the key for accurate evaluation of density of states (DOS) in band theory. The Gilat-Raubenheimer (GR) method proposed in 1966 is an efficient linear extrapolation method which was limited in specific lattices. Here, using an affine transformation, we provide a new generalization of the original GR method to any Bravais lattices and show that it is superior to the tetrahedron method and the adaptive Gaussian broadening method. Finally, we apply our generalized GR method to compute DOS of various gyroid photonic crystals of topological degeneracies. Keywords: density of states, photonic crystal, topological photonics |
| first_indexed | 2024-09-23T14:12:10Z |
| format | Article |
| id | mit-1721.1/115584 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T14:12:10Z |
| publishDate | 2018 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1155842022-09-28T19:08:30Z Generalized Gilat–Raubenheimer method for density-of-states calculation in photonic crystals Liu, Boyuan Lu, Ling Johnson, Steven G. Joannopoulos, John D. Massachusetts Institute of Technology. Department of Mathematics Massachusetts Institute of Technology. Department of Physics Johnson, Steven G. Joannopoulos, John D. An efficient numerical algorithm is the key for accurate evaluation of density of states (DOS) in band theory. The Gilat-Raubenheimer (GR) method proposed in 1966 is an efficient linear extrapolation method which was limited in specific lattices. Here, using an affine transformation, we provide a new generalization of the original GR method to any Bravais lattices and show that it is superior to the tetrahedron method and the adaptive Gaussian broadening method. Finally, we apply our generalized GR method to compute DOS of various gyroid photonic crystals of topological degeneracies. Keywords: density of states, photonic crystal, topological photonics Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies (Contract W911NF-13-D-0001) United States. Air Force. Research Laboratory (Agreement FA8650-15-2-5220) 2018-05-23T13:59:42Z 2018-05-23T13:59:42Z 2018-03 2018-05-22T18:04:24Z Article http://purl.org/eprint/type/JournalArticle 2040-8978 2040-8986 http://hdl.handle.net/1721.1/115584 Liu, Boyuan, et al. “Generalized Gilat–Raubenheimer Method for Density-of-States Calculation in Photonic Crystals.” Journal of Optics, vol. 20, no. 4, Apr. 2018, p. 044005. Journal of Optics 20, no. 4 (April 1, 2018): 044005. https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-7244-3682 http://dx.doi.org/10.1088/2040-8986/aaae52 Journal of Optics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf IOP Publishing arXiv |
| spellingShingle | Liu, Boyuan Lu, Ling Johnson, Steven G. Joannopoulos, John D. Generalized Gilat–Raubenheimer method for density-of-states calculation in photonic crystals |
| title | Generalized Gilat–Raubenheimer method for density-of-states calculation in photonic crystals |
| title_full | Generalized Gilat–Raubenheimer method for density-of-states calculation in photonic crystals |
| title_fullStr | Generalized Gilat–Raubenheimer method for density-of-states calculation in photonic crystals |
| title_full_unstemmed | Generalized Gilat–Raubenheimer method for density-of-states calculation in photonic crystals |
| title_short | Generalized Gilat–Raubenheimer method for density-of-states calculation in photonic crystals |
| title_sort | generalized gilat raubenheimer method for density of states calculation in photonic crystals |
| url | http://hdl.handle.net/1721.1/115584 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-7244-3682 |
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