Two solvable problems of planar geometrical optics

Two solvable problems of planar geometrical optics

In the framework of geometrical optics we consider a two-dimensional transparent inhomogeneous isotropic medium (dispersive or not). We show that (i) for any family belonging to a certain class of planar monoparametric families of monochromatic light rays given in the form f(x,y)=c of any definite c...

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Veröffentlicht in:Journal of the Optical Society of America. A, Optics, image science, and vision Optics, image science, and vision, 2006-12, Vol.23 (12), p.3133-3138
Hauptverfasser: BORGHERO, Francesco, BOZIS, George
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Sprache:eng
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Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Geometrical optics
Optics
Physics
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container_start_page 3133
container_title Journal of the Optical Society of America. A, Optics, image science, and vision
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creator BORGHERO, Francesco
BOZIS, George
description In the framework of geometrical optics we consider a two-dimensional transparent inhomogeneous isotropic medium (dispersive or not). We show that (i) for any family belonging to a certain class of planar monoparametric families of monochromatic light rays given in the form f(x,y)=c of any definite color and satisfying a differential condition, all the refractive index profiles n=n(x,y) allowing for the creation of the given family can be found analytically (inverse problem) and that (ii) for any member of a class of two-dimensional refractive index profiles n=n(x,y) satisfying a differential condition, all the compatible families of light rays can be found analytically (direct problem). We present appropriate examples.
doi_str_mv 10.1364/JOSAA.23.003133
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subjects Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Geometrical optics
Optics
Physics
title Two solvable problems of planar geometrical optics
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