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

Author： Calvo María L.   Pérez-Ríos Jesús  

Publisher： IOP Publishing

ISSN： 1464-4258

Source： Journal of Optics A: Pure and Applied Optics, Vol.11, Iss.12, 2009-12, pp. : 125403-125411

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

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.

Related content

Soliton aspects of the inhomogeneous coupled nonlinear Schr?dinger equation in optical fibre

By Uthayakumar A.   Porsezian K.   Nakkeeran K.  

Pure and Applied Optics: Journal of the European Optical Society Part A, Vol. 7, Iss. 6, 1998-01 ,pp. : 1459-1464 (6)

IOP Publishing

Access to resources Recommend Favorite

Generalized theory of diffraction tomography for random media

By Fischer D.G.  

Pure and Applied Optics: Journal of the European Optical Society Part A, Vol. 7, Iss. 5, 1998-01 ,pp. : 1151-1160 (10)

IOP Publishing

Access to resources Recommend Favorite

Optical path in birefringent media and Fermat's principle

By Simon M.C.   Gottschalk K.V.  

Pure and Applied Optics: Journal of the European Optical Society Part A, Vol. 7, Iss. 6, 1998-01 ,pp. : 1403-1410 (8)

IOP Publishing

Access to resources Recommend Favorite

Investigation of Near-Field Imaging Characteristics of Radial Polarization for Application to Optical Data Storage

By Kim Wan-Chin   Park No-Cheol   Yoon Yong-Joong   Choi Hyun   Park Young-Pil  

Optical Review, Vol. 14, Iss. 4, 2007-07 ,pp. : 236-242 (7)

Springer Publishing Company

Access to resources Recommend Favorite

Optical coherence tomography evaluation of macular edema after radial optic neurotomy in patients affected by central retinal vein occlusion

By Patelli Fabio   Radice Paolo   Zumbo Giulio   Fasolino Giuseppe   Marchi Stefano  

Seminars in Ophthalmology, Vol. 19, Iss. 1-2, 2004-03 ,pp. : 21-24 (4)

Informa Healthcare

Access to resources Recommend Favorite