Dynamic Programming, the Fermat Principle, and the Eikonal Equation Revisited

V. Lakshminarayanan and S. Varadharajan
Additional contact information
V. Lakshminarayanan: University of Missouri at St. Louis
S. Varadharajan: University of Missouri at St. Louis

Journal of Optimization Theory and Applications, 1997, vol. 95, issue 3, No 14, 713-716

Abstract: Abstract We derive the eikonal equation using the technique of dynamic programming. The formalism of dynamic programming is based on the procedure defining the minimum pathway, and an immediate application of the Fermat principle leads to the well-known eikonal equation of classical geometrical optics.

Keywords: Eikonal equation; optics; optimality principle; Fermat principle; dynamic programming (search for similar items in EconPapers)
Date: 1997
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1023/A:1022638309280 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:95:y:1997:i:3:d:10.1023_a:1022638309280

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1023/A:1022638309280

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().