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Dynamic programming revisited: a generalized formalism for arbitrary ray trajectories in inhomogeneous optical media with radial dependence

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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


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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
Additional Information:

© 2009 IOP Publishing Ltd.
The financial support of the Spanish Ministry of Science and Innovation under Grant TEC2008-04125 and CAM-CG-300 is acknowledged. One of us (JPR) acknowledges the Consejo Superior de Investigaciones Científicas (CSIC) for the grant accorded (JAE-pre Fellowship). We are indebted to V. Lakshminarayanan for helpful suggestions and discussions.

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:14 May 2014 07:50

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