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

Published online by Cambridge University Press:  24 January 2007

V. Le Dez  and
H. Sadat
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
*
[email protected]
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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
Information
The European Physical Journal - Applied Physics , Volume 37 , Issue 2 , February 2007 , pp. 181 - 190
Copyright
© EDP Sciences, 2007

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