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Geometry of Thin Films

Name: Geometry of Thin Films
Creator: Ronald K. Perline
Keywords: Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, 37J35, Exactly Solvable and Integrable Systems (nlin.SI), 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 15 Nov 2018Embargo end date: 01 Jan 2015Publisher:Springer Science and Business Media LLCJournal:Journal of Nonlinear Science, volume 29, pages 621-642 (issn: 0938-8974, eissn: 1432-1467,

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

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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

Drexel University
United States

Keywords

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

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