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

María L. Calvo; Jess Pérez-Ríos

doi:10.1088/1464-4258/11/12/125403

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

María L. Calvo
, Jess Pérez-Ríos

Physics and Astronomy

Complutense University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Article number	125403
Journal	Journal of Optics A: Pure and Applied Optics
Volume	11
Issue number	12
DOIs	https://doi.org/10.1088/1464-4258/11/12/125403
State	Published - 2009

Keywords

Optical waveguides
Propagation phenomena
Wavefronts and ray tracing

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10.1088/1464-4258/11/12/125403

Cite this

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title = "Dynamic programming revisited: A generalized formalism for arbitrary ray trajectories in inhomogeneous optical media with radial dependence",

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.",

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AB - 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.

KW - Optical waveguides

KW - Propagation phenomena

KW - Wavefronts and ray tracing

UR - https://www.scopus.com/pages/publications/70450159410

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DO - 10.1088/1464-4258/11/12/125403

M3 - Article

AN - SCOPUS:70450159410

SN - 1464-4258

VL - 11

JO - Journal of Optics A: Pure and Applied Optics

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M1 - 125403

ER -

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

Abstract

Keywords

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