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Calvo Padilla, María Luisa and Pérz Ríos, Jesús (2009) Dynamic programming revisited: a generalized formalism for arbitrary ray trajectories in inhomogeneous optical media with radial dependence. Journal of Optics A. Pure and Applied Optics, 11 (12). ISSN 1464-4258
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Official URL: http://dx.doi.org/10.1088/1464-4258/11/12/125403
Abstract
We present a formalism based upon dynamic programming (DP), to characterize light propagation in particular GRIN (gradient index) media by analyzing ray trajectories associated with skew-type rays. We study the conditions for the formation of periodic trajectories and stability of the system. We perform a comparative study with the classical formalism based on the Hamilton-Jacobi equation. The DP formalism allows representation in phase (momentum) space.
Item Type: | Article |
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Additional Information: | © 2009 IOP Publishing Ltd. |
Uncontrolled Keywords: | Gradient-Index Media, Fermats Principle, Eikonal Equation |
Subjects: | Sciences > Physics > Optics |
ID Code: | 25450 |
Deposited On: | 14 May 2014 07:50 |
Last Modified: | 31 Dec 2020 00:02 |
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