Design of photonic crystals with multiple and combined band gaps
We present and use an algorithm based on convex conic optimization to design two-dimensional photonic crystals with large absolute band gaps. Among several illustrations we show that it is possible to design photonic crystals which exhibit multiple absolute band gaps for the combined transverse elec...
| Main Authors: | , , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2011
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| Online Access: | http://hdl.handle.net/1721.1/64936 https://orcid.org/0000-0002-8556-685X https://orcid.org/0000-0002-1733-5363 https://orcid.org/0000-0003-1132-8477 |
| _version_ | 1811073599356796928 |
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| author | Men, Han Nguyen, Ngoc Cuong Freund, Robert Michael Lim, K. M. Parrilo, Pablo A. Peraire, Jaime |
| author2 | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics |
| author_facet | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Men, Han Nguyen, Ngoc Cuong Freund, Robert Michael Lim, K. M. Parrilo, Pablo A. Peraire, Jaime |
| author_sort | Men, Han |
| collection | MIT |
| description | We present and use an algorithm based on convex conic optimization to design two-dimensional photonic crystals with large absolute band gaps. Among several illustrations we show that it is possible to design photonic crystals which exhibit multiple absolute band gaps for the combined transverse electric and magnetic modes. The optimized crystals show complicated patterns which are far different from existing photonic crystal designs. We employ subspace approximation and mesh adaptivity to enhance computational efficiency. For some examples involving two band gaps, we demonstrate the tradeoff frontier between two different absolute band gaps. |
| first_indexed | 2024-09-23T09:35:31Z |
| format | Article |
| id | mit-1721.1/64936 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:35:31Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/649362022-09-30T15:30:06Z Design of photonic crystals with multiple and combined band gaps Men, Han Nguyen, Ngoc Cuong Freund, Robert Michael Lim, K. M. Parrilo, Pablo A. Peraire, Jaime Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Sloan School of Management Freund, Robert Michael Nguyen, Ngoc Cuong Freund, Robert Michael Parrilo, Pablo A. Peraire, Jaime We present and use an algorithm based on convex conic optimization to design two-dimensional photonic crystals with large absolute band gaps. Among several illustrations we show that it is possible to design photonic crystals which exhibit multiple absolute band gaps for the combined transverse electric and magnetic modes. The optimized crystals show complicated patterns which are far different from existing photonic crystal designs. We employ subspace approximation and mesh adaptivity to enhance computational efficiency. For some examples involving two band gaps, we demonstrate the tradeoff frontier between two different absolute band gaps. United States. Air Force Office of Scientific Research (Grant No. FA9550-08-1-0350) Singapore-MIT Alliance 2011-07-20T19:39:24Z 2011-07-20T19:39:24Z 2011-04 2010-09 Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/64936 Men, H. et al. “Design of Photonic Crystals with Multiple and Combined Band Gaps.” Physical Review E 83.4 (2011) : n. pag. ©2011 American Physical Society https://orcid.org/0000-0002-8556-685X https://orcid.org/0000-0002-1733-5363 https://orcid.org/0000-0003-1132-8477 en_US http://dx.doi.org/10.1103/PhysRevE.83.046703 Physical review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society MIT web domain |
| spellingShingle | Men, Han Nguyen, Ngoc Cuong Freund, Robert Michael Lim, K. M. Parrilo, Pablo A. Peraire, Jaime Design of photonic crystals with multiple and combined band gaps |
| title | Design of photonic crystals with multiple and combined band gaps |
| title_full | Design of photonic crystals with multiple and combined band gaps |
| title_fullStr | Design of photonic crystals with multiple and combined band gaps |
| title_full_unstemmed | Design of photonic crystals with multiple and combined band gaps |
| title_short | Design of photonic crystals with multiple and combined band gaps |
| title_sort | design of photonic crystals with multiple and combined band gaps |
| url | http://hdl.handle.net/1721.1/64936 https://orcid.org/0000-0002-8556-685X https://orcid.org/0000-0002-1733-5363 https://orcid.org/0000-0003-1132-8477 |
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