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

被引：0
作者：
V. Lakshminarayanan
S. Varadharajan
机构：
[1] University of Missouri at St. Louis,School of Optometry and Adjunct Associate Professor, Department of Physics and Astronomy
[2] University of Missouri at St. Louis,Department of Physics and Astronomy
来源：
Journal of Optimization Theory and Applications | 1997年 / 95卷
关键词：
Eikonal equation; optics; optimality principle; Fermat principle; dynamic programming;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：713 / 716
页数：3
相关论文
共 7 条
  • [1] Kalaba R.(1961)Dynamic Programming, Fermat's Principle, and the Eikonal Equation Journal of the Optical Society of America 51 1150-1151
  • [2] Calvo M. L.(1997)Light Propagation in Optical Waveguides: A Dynamic Programming Approach Journal of the Optical Society of America 14A 872-881
  • [3] Lakshminarayanan V.(1995)Application of Dynamic Programming to Waveguide Analysis: An Example Optics and Photonics News 6 127-undefined
  • [4] Lakshminarayanan V.(1997)Grain-Guided Segmented Planar Waveguides: Optimal Design Using Dynamic Programming Technique Optics and Photonics News 8 88-undefined
  • [5] Calvo M. L.(undefined)undefined undefined undefined undefined-undefined
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