Numerical Methods for Computing Casimir Interactions
Name
1007.0966.pdf
Size
1.84 MB
Format
Adobe PDF
Checksum (MD5)
ca596a4916b9974d50d3f4f9cd279594
Author(s)
Johnson, Steven G
Date Issued
June 2011
Journal
Casimir Physics
Publisher
Springer
Citation
Johnson, Steven G. “Numerical Methods for Computing Casimir Interactions.” In Casimir Physics, edited by Diego Dalvit, Peter Milonni, David Roberts, and Felipe da Rosa, 834:175–218. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011.
Version
Original manuscript
Abstract
We review several different approaches for computing Casimir forces and related fluctuation-induced interactions between bodies of arbitrary shapes and materials. The relationships between this problem and well known computational techniques from classical electromagnetism are emphasized. We also review the basic principles of standard computational methods, categorizing them according to three criteria\-choice of problem, basis, and solution technique\-that can be used to classify proposals for the Casimir problem as well. In this way, mature classical methods can be exploited to model Casimir physics, with a few important modifications.Keywords:
Imaginary Frequency, Perfectly Match Layer, Casimir Force, Casimir Energy, Perfect Electric Conductor
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/978-3-642-20288-9_6
