Design of thin–film photonic metamaterial Luneburg lens using analytical approach
We design an all–dielectric Luneburg lens as an adiabatic space–variant lattice explicitly accounting for finite film thickness. We describe an all–analytical approach to compensate for the finite height of subwavelength dielectric structures in the pass–band regime. This method calculates the effec...
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| Format: | Article |
| Language: | en_US |
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Optical Society of America
2013
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| Online Access: | http://hdl.handle.net/1721.1/80322 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-4140-1404 |
| _version_ | 1811092936004206592 |
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| author | Gao, Hanhong Zhang, Baile Johnson, Steven G. Barbastathis, George |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Gao, Hanhong Zhang, Baile Johnson, Steven G. Barbastathis, George |
| author_sort | Gao, Hanhong |
| collection | MIT |
| description | We design an all–dielectric Luneburg lens as an adiabatic space–variant lattice explicitly accounting for finite film thickness. We describe an all–analytical approach to compensate for the finite height of subwavelength dielectric structures in the pass–band regime. This method calculates the effective refractive index of the infinite–height lattice from effective medium theory, then embeds a medium of the same effective index into a slab waveguide of finite height and uses the waveguide dispersion diagram to calculate a new effective index. The results are compared with the conventional numerical treatment – a direct band diagram calculation, using a modified three–dimensional lattice with the superstrate and substrate included in the cell geometry. We show that the analytical results are in good agreement with the numerical ones, and the performance of the thin–film Luneburg lens is quite different than the estimates obtained assuming infinite height. |
| first_indexed | 2024-09-23T15:36:06Z |
| format | Article |
| id | mit-1721.1/80322 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:36:06Z |
| publishDate | 2013 |
| publisher | Optical Society of America |
| record_format | dspace |
| spelling | mit-1721.1/803222022-10-02T02:56:04Z Design of thin–film photonic metamaterial Luneburg lens using analytical approach Gao, Hanhong Zhang, Baile Johnson, Steven G. Barbastathis, George Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Department of Mathematics Massachusetts Institute of Technology. Department of Mechanical Engineering Gao, Hanhong Johnson, Steven G. Barbastathis, George Zhang, Baile We design an all–dielectric Luneburg lens as an adiabatic space–variant lattice explicitly accounting for finite film thickness. We describe an all–analytical approach to compensate for the finite height of subwavelength dielectric structures in the pass–band regime. This method calculates the effective refractive index of the infinite–height lattice from effective medium theory, then embeds a medium of the same effective index into a slab waveguide of finite height and uses the waveguide dispersion diagram to calculate a new effective index. The results are compared with the conventional numerical treatment – a direct band diagram calculation, using a modified three–dimensional lattice with the superstrate and substrate included in the cell geometry. We show that the analytical results are in good agreement with the numerical ones, and the performance of the thin–film Luneburg lens is quite different than the estimates obtained assuming infinite height. Singapore-MIT Alliance for Research and Technology Center United States. Air Force Office of Scientific Research. Multidisciplinary University Research Initiative (Program on Nanomembranes Contract FA9550-08-1-0379) 2013-08-30T14:13:14Z 2013-08-30T14:13:14Z 2012-01 2011-12 Article http://purl.org/eprint/type/JournalArticle 1094-4087 http://hdl.handle.net/1721.1/80322 Gao, Hanhong, Baile Zhang, Steven G. Johnson, and George Barbastathis. “Design of thin–film photonic metamaterial Lüneburg lens using analytical approach.” Optics Express 20, no. 2 (January 10, 2012): 1617. © 2012 OSA https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-4140-1404 en_US http://dx.doi.org/10.1364/oe.20.001617 Optics Express 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 Optical Society of America MIT web domain |
| spellingShingle | Gao, Hanhong Zhang, Baile Johnson, Steven G. Barbastathis, George Design of thin–film photonic metamaterial Luneburg lens using analytical approach |
| title | Design of thin–film photonic metamaterial Luneburg lens using analytical approach |
| title_full | Design of thin–film photonic metamaterial Luneburg lens using analytical approach |
| title_fullStr | Design of thin–film photonic metamaterial Luneburg lens using analytical approach |
| title_full_unstemmed | Design of thin–film photonic metamaterial Luneburg lens using analytical approach |
| title_short | Design of thin–film photonic metamaterial Luneburg lens using analytical approach |
| title_sort | design of thin film photonic metamaterial luneburg lens using analytical approach |
| url | http://hdl.handle.net/1721.1/80322 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-4140-1404 |
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