Ray mappings and the weighted least action principle

Abstract Two basic problems in optics are presented. The solutions to both problems are formulated in terms of the associated ray mappings. An alternative formulation based on a weighted sum of the actions along the rays is derived. Existence of solutions is established via the Weighted Least Action...

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Bibliographic Details
Main Authors: Jacob Rubinstein, Gershon Wolansky, Yifat Weinberg
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Journal of Mathematics in Industry
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13362-018-0048-1