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On the Fermat's principle in a semi-transparent sphere of uniaxial cristal

Published online by Cambridge University Press:  24 January 2007

V. Le Dez
Affiliation:
Laboratoire d'Études Thermiques, UMR 6608, CNRS-ENSMA, 86960 Futuroscope Cedex, France
H. Sadat*
Affiliation:
Laboratoire d'Études Thermiques, UMR 6608, CNRS-ENSMA, 86960 Futuroscope Cedex, France
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Abstract

The determination of the optical trajectories on which the radiative energy is transported has been achieved by solving the anisotropic Fermat's principle in a sphere of uniaxial semi-transparent material when the dielectric perpendicular and parallel permittivities are space dependant; first established for the general case of an optical axis function of the location inside the medium, it has completely been solved for the particular case of a constant optical axis with a constant anisotropy factor when the perpendicular permittivity is a function of the radius; the calculation shows a lack of the spherical symmetry due to the presence of the optical axis which induces non planar trajectories contrarily to the isotropic case.

Keywords

Type
Research Article
Copyright
© EDP Sciences, 2007

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