Implications of the Babinet Principle for Casimir interactions
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Maghrebi-2011-Implications of the Babinet Principle.pdf
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Author(s)
Abravanel, Ronen
Faghfoor Maghrebi, Mohammad
Jaffe, Robert L.
Date Issued
September 2011
Journal
Physical Review D
Publisher
American Physical Society (APS)
Citation
Maghrebi, Mohammad, Robert Jaffe, and Ronen Abravanel. “Implications of the Babinet Principle for Casimir interactions.” Physical Review D 84.6 (2011): n. pag. Web. 25 Jan. 2012. © 2011 American Physical Society
Version
Final published version
Abstract
We formulate the Babinet Principle (BP) as a relation between scattering amplitudes and combine it with multiple scattering techniques to derive new properties of electromagnetic Casimir forces. We show that the Casimir force exerted by a planar conductor or dielectric on a self-complementary perforated planar mirror is approximately half that on a uniform mirror independent of the distance between them. Also, the BP suggests that Casimir edge effects are generically anomalously small. Furthermore, the BP can be used to relate any planar object to its complementary geometry, a relation we use to estimate Casimir forces between two screens with apertures.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. School of Science
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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.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.84.061701
