Document Detail


Refractive-index distributions generating as light rays a given family of curves lying on a surface.
MedLine Citation:
PMID:  21293533     Owner:  NLM     Status:  In-Data-Review    
Abstract/OtherAbstract:
In the framework of geometrical optics, we consider the inverse problem consisting in obtaining refractive-index distributions n=n(u,v) of a two-dimensional transparent inhomogeneous isotropic medium from a known family f(u,v)=c of monochromatic light rays, lying on a given regular surface. Using some basic concepts of differential geometry, we establish a first-order linear partial differential equation relating the assigned family of light rays with all possible refractive-index profiles compatible with this family. In particular, we study the refractive-index distribution producing, as light rays, a given family of geodesic lines on some remarkable surfaces. We give appropriate examples to explain the theory.
Authors:
Francesco Borghero; Thomas Kotoulas
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Journal of the Optical Society of America. A, Optics, image science, and vision     Volume:  28     ISSN:  1520-8532     ISO Abbreviation:  J Opt Soc Am A Opt Image Sci Vis     Publication Date:  2011 Feb 
Date Detail:
Created Date:  2011-02-04     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  9800943     Medline TA:  J Opt Soc Am A Opt Image Sci Vis     Country:  United States    
Other Details:
Languages:  eng     Pagination:  278-83     Citation Subset:  IM    
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