%0 Journal Article
%A Calvo Padilla, María Luisa
%A Pérz Ríos, Jesús
%T Dynamic programming revisited: a generalized formalism for arbitrary ray trajectories in inhomogeneous optical media with radial dependence
%D 2009
%@ 1464-4258
%U https://hdl.handle.net/20.500.14352/44185
%X 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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