Electromagnetic Casimir energy of a disk opposite a plane
Building on work by J. Meixner [Z. Naturforschung 3a, 506 (1948)], we show how to compute the exact scattering amplitude (or T-matrix) for electromagnetic scattering from a perfectly conducting disk. This calculation is a rare example of a nondiagonal T-matrix that can nonetheless be obtained in a s...
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2016
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| Online Access: | http://hdl.handle.net/1721.1/105157 |
| _version_ | 1826197965124927488 |
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| author | Emig, Thorsten Graham, Noah |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Emig, Thorsten Graham, Noah |
| author_sort | Emig, Thorsten |
| collection | MIT |
| description | Building on work by J. Meixner [Z. Naturforschung 3a, 506 (1948)], we show how to compute the exact scattering amplitude (or T-matrix) for electromagnetic scattering from a perfectly conducting disk. This calculation is a rare example of a nondiagonal T-matrix that can nonetheless be obtained in a semianalytic form. We then use this result to compute the electromagnetic Casimir interaction energy for a disk opposite a plane, for arbitrary orientation angle of the disk, for separations greater than the disk radius. We find that the proximity force approximation (PFA) significantly overestimates the Casimir energy, in the case of both the ordinary PFA, which applies when the disk is parallel to the plane, and the “edge PFA”, which applies when the disk is perpendicular to the plane. |
| first_indexed | 2024-09-23T10:56:33Z |
| format | Article |
| id | mit-1721.1/105157 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:56:33Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1051572022-10-01T00:05:43Z Electromagnetic Casimir energy of a disk opposite a plane Emig, Thorsten Graham, Noah Massachusetts Institute of Technology. Department of Physics MultiScale Materials Science for Energy and Environment, Joint MIT-CNRS Laboratory Emig, Thorsten Building on work by J. Meixner [Z. Naturforschung 3a, 506 (1948)], we show how to compute the exact scattering amplitude (or T-matrix) for electromagnetic scattering from a perfectly conducting disk. This calculation is a rare example of a nondiagonal T-matrix that can nonetheless be obtained in a semianalytic form. We then use this result to compute the electromagnetic Casimir interaction energy for a disk opposite a plane, for arbitrary orientation angle of the disk, for separations greater than the disk radius. We find that the proximity force approximation (PFA) significantly overestimates the Casimir energy, in the case of both the ordinary PFA, which applies when the disk is parallel to the plane, and the “edge PFA”, which applies when the disk is perpendicular to the plane. 2016-10-28T22:32:58Z 2016-10-28T22:32:58Z 2016-09 2016-06 2016-09-15T22:00:05Z Article http://purl.org/eprint/type/JournalArticle 2469-9926 2469-9934 http://hdl.handle.net/1721.1/105157 Emig, Thorsten, and Noah Graham. “Electromagnetic Casimir Energy of a Disk Opposite a Plane.” Physical Review A 94.3 (2016): n. pag. © 2016 American Physical Society en http://dx.doi.org/10.1103/PhysRevA.94.032509 Physical Review A 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Emig, Thorsten Graham, Noah Electromagnetic Casimir energy of a disk opposite a plane |
| title | Electromagnetic Casimir energy of a disk opposite a plane |
| title_full | Electromagnetic Casimir energy of a disk opposite a plane |
| title_fullStr | Electromagnetic Casimir energy of a disk opposite a plane |
| title_full_unstemmed | Electromagnetic Casimir energy of a disk opposite a plane |
| title_short | Electromagnetic Casimir energy of a disk opposite a plane |
| title_sort | electromagnetic casimir energy of a disk opposite a plane |
| url | http://hdl.handle.net/1721.1/105157 |
| work_keys_str_mv | AT emigthorsten electromagneticcasimirenergyofadiskoppositeaplane AT grahamnoah electromagneticcasimirenergyofadiskoppositeaplane |