Ray mappings and the weighted least action principle View Full Text


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Article Info

DATE

2018-12

AUTHORS

Jacob Rubinstein, Gershon Wolansky, Yifat Weinberg

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 Principle. Numerical methods for computing the ray mappings are discussed. Finally, we demonstrate the theoretical considerations by presenting complete solutions to a phase retrieval problem and to a specific beam shaping lens design. More... »

PAGES

6

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13362-018-0048-1

DOI

http://dx.doi.org/10.1186/s13362-018-0048-1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1105948686


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