Casimir forces in the time domain: Theory
We present a method to compute Casimir forces in arbitrary geometries and for arbitrary materials based on the finite-difference time-domain (FDTD) scheme. The method involves the time evolution of electric and magnetic fields in response to a set of current sources, in a modified medium with freque...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/51325 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-7244-3682 |
| _version_ | 1826190001569792000 |
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| author | Rodriguez, Alejandro W. McCauley, Alexander Patrick Joannopoulos, John D. Johnson, Steven G. |
| author2 | Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies |
| author_facet | Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies Rodriguez, Alejandro W. McCauley, Alexander Patrick Joannopoulos, John D. Johnson, Steven G. |
| author_sort | Rodriguez, Alejandro W. |
| collection | MIT |
| description | We present a method to compute Casimir forces in arbitrary geometries and for arbitrary materials based on the finite-difference time-domain (FDTD) scheme. The method involves the time evolution of electric and magnetic fields in response to a set of current sources, in a modified medium with frequency-independent conductivity. The advantage of this approach is that it allows one to exploit existing FDTD software, without modification, to compute Casimir forces. In this paper, we focus on the derivation, implementation choices, and essential properties of the time-domain algorithm, both considered analytically and illustrated in the simplest parallel-plate geometry. |
| first_indexed | 2024-09-23T08:33:30Z |
| format | Article |
| id | mit-1721.1/51325 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:33:30Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/513252022-09-30T09:32:48Z Casimir forces in the time domain: Theory Rodriguez, Alejandro W. McCauley, Alexander Patrick Joannopoulos, John D. Johnson, Steven G. Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies Massachusetts Institute of Technology. Department of Mathematics Massachusetts Institute of Technology. Department of Physics Joannopoulos, John D. Rodriguez, Alejandro W. McCauley, Alexander Patrick Joannopoulos, John Johnson, Steven G. We present a method to compute Casimir forces in arbitrary geometries and for arbitrary materials based on the finite-difference time-domain (FDTD) scheme. The method involves the time evolution of electric and magnetic fields in response to a set of current sources, in a modified medium with frequency-independent conductivity. The advantage of this approach is that it allows one to exploit existing FDTD software, without modification, to compute Casimir forces. In this paper, we focus on the derivation, implementation choices, and essential properties of the time-domain algorithm, both considered analytically and illustrated in the simplest parallel-plate geometry. 2010-02-02T18:01:05Z 2010-02-02T18:01:05Z 2009-07 2009-04 Article http://purl.org/eprint/type/JournalArticle 1094-1622 1050-2947 http://hdl.handle.net/1721.1/51325 Rodriguez, Alejandro W. et al. “Casimir forces in the time domain: Theory.” Physical Review A 80.1 (2009): 012115. (C) 2010 The American Physical Society. https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-7244-3682 en_US http://dx.doi.org/10.1103/PhysRevA.80.012115 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. application/pdf American Physical Society APS |
| spellingShingle | Rodriguez, Alejandro W. McCauley, Alexander Patrick Joannopoulos, John D. Johnson, Steven G. Casimir forces in the time domain: Theory |
| title | Casimir forces in the time domain: Theory |
| title_full | Casimir forces in the time domain: Theory |
| title_fullStr | Casimir forces in the time domain: Theory |
| title_full_unstemmed | Casimir forces in the time domain: Theory |
| title_short | Casimir forces in the time domain: Theory |
| title_sort | casimir forces in the time domain theory |
| url | http://hdl.handle.net/1721.1/51325 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-7244-3682 |
| work_keys_str_mv | AT rodriguezalejandrow casimirforcesinthetimedomaintheory AT mccauleyalexanderpatrick casimirforcesinthetimedomaintheory AT joannopoulosjohnd casimirforcesinthetimedomaintheory AT johnsonsteveng casimirforcesinthetimedomaintheory |