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Preprint . 2015
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Journal of Nonlinear Science
Article . 2018 . Peer-reviewed
License: Springer TDM
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https://dx.doi.org/10.48550/ar...
Article . 2015
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Journal of Nonlinear Science
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Geometry of Thin Films

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 15 Nov 2018Embargo end date: 01 Jan 2015 English Publisher:Springer Science and Business Media LLCJournal:Journal of Nonlinear Science, volume 29, pages 621-642 (issn: 0938-8974, eissn: 1432-1467, Copyright policy )
Authors: Ronald K. Perline;

doi: 10.1007/s00332-018-9498-2 , 10.48550/arxiv.1511.07415

arXiv: http://arxiv.org/abs/1511.07415

Geometry of Thin Films

Abstract

We study ray optics in the context of double mirror systems, in the limit as the two mirrors approach one another (thin films). This leads to a novel set of differential equations on a mirror surface which have interesting structure as seen from the perspective of symplectic geometry and Hamiltonian mechanics.

14 Pages, 6 Figures

Related Organizations
Keywords

Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, 37J35, Exactly Solvable and Integrable Systems (nlin.SI)

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 3
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green