RT Journal Article
T1 Dynamic programming revisited: a generalized formalism for arbitrary ray trajectories in inhomogeneous optical media with radial dependence
A1 Calvo Padilla, María Luisa
A1 Pérz Ríos, Jesús
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.
PB IOP Publishing Ltd.
SN 1464-4258
YR 2009
FD 2009-12
LK https://hdl.handle.net/20.500.14352/44185
UL https://hdl.handle.net/20.500.14352/44185
LA eng
NO © 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.
NO Ministerio de Ciencia e Innovación (MICINN), España
NO Consejo Superior de Investigaciones Científicas (CSIC), España
DS Docta Complutense
RD 30 dic 2025