Optical Bernoulli forces
By Bernoulli's law, an increase in the relative speed of a fluid around a body is accompanied by a decrease in the pressure. Therefore, a rotating body in a fluid stream experiences a force perpendicular to the motion of the fluid because of the unequal relative speed of the fluid across its su...
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American Physical Society
2013
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Online Access: | http://hdl.handle.net/1721.1/81396 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-4078-6752 |
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author | Movassagh, Ramis Johnson, Steven G. |
author2 | Massachusetts Institute of Technology. Department of Mathematics |
author_facet | Massachusetts Institute of Technology. Department of Mathematics Movassagh, Ramis Johnson, Steven G. |
author_sort | Movassagh, Ramis |
collection | MIT |
description | By Bernoulli's law, an increase in the relative speed of a fluid around a body is accompanied by a decrease in the pressure. Therefore, a rotating body in a fluid stream experiences a force perpendicular to the motion of the fluid because of the unequal relative speed of the fluid across its surface. It is well known that light has a constant speed irrespective of the relative motion. Does a rotating body immersed in a stream of photons experience a Bernoulli-like force? We show that, indeed, a rotating dielectric cylinder experiences such a lateral force from an electromagnetic wave. In fact, the sign of the lateral force is the same as that of the fluid-mechanical analog as long as the electric susceptibility is positive (ε>ε[subscript 0]), but for negative-susceptibility materials (e.g., metals) we show that the lateral force is in the opposite direction. Because these results are derived from a classical electromagnetic scattering problem, Mie-resonance enhancements that occur in other scattering phenomena also enhance the lateral force. |
first_indexed | 2024-09-23T16:41:54Z |
format | Article |
id | mit-1721.1/81396 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T16:41:54Z |
publishDate | 2013 |
publisher | American Physical Society |
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spelling | mit-1721.1/813962022-09-29T20:50:52Z Optical Bernoulli forces Movassagh, Ramis Johnson, Steven G. Massachusetts Institute of Technology. Department of Mathematics Johnson, Steven G. Movassagh, Ramis By Bernoulli's law, an increase in the relative speed of a fluid around a body is accompanied by a decrease in the pressure. Therefore, a rotating body in a fluid stream experiences a force perpendicular to the motion of the fluid because of the unequal relative speed of the fluid across its surface. It is well known that light has a constant speed irrespective of the relative motion. Does a rotating body immersed in a stream of photons experience a Bernoulli-like force? We show that, indeed, a rotating dielectric cylinder experiences such a lateral force from an electromagnetic wave. In fact, the sign of the lateral force is the same as that of the fluid-mechanical analog as long as the electric susceptibility is positive (ε>ε[subscript 0]), but for negative-susceptibility materials (e.g., metals) we show that the lateral force is in the opposite direction. Because these results are derived from a classical electromagnetic scattering problem, Mie-resonance enhancements that occur in other scattering phenomena also enhance the lateral force. United States. Army Research Office (Contract W911NF-13-D-0001) 2013-10-16T12:27:41Z 2013-10-16T12:27:41Z 2013-08 2013-05 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/81396 Movassagh, Ramis, and Steven G. Johnson. “Optical Bernoulli forces.” Physical Review A 88, no. 2 (August 2013). © 2013 American Physical Society https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-4078-6752 en_US http://dx.doi.org/10.1103/PhysRevA.88.023829 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 American Physical Society |
spellingShingle | Movassagh, Ramis Johnson, Steven G. Optical Bernoulli forces |
title | Optical Bernoulli forces |
title_full | Optical Bernoulli forces |
title_fullStr | Optical Bernoulli forces |
title_full_unstemmed | Optical Bernoulli forces |
title_short | Optical Bernoulli forces |
title_sort | optical bernoulli forces |
url | http://hdl.handle.net/1721.1/81396 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-4078-6752 |
work_keys_str_mv | AT movassaghramis opticalbernoulliforces AT johnsonsteveng opticalbernoulliforces |