On the symplectic structures arising in Optics
High Energy Physics - Theory
2009-10-30 v2
Abstract
Geometric optics is analysed using the techniques of Presymplectic Geometry. We obtain the symplectic structure of the space of light rays in a medium of a non constant refractive index by reduction from a presymplectic structure, and using adapted coordinates, we find Darboux coordinates. The theory is illustrated with some examples and we point out some simple physical applications
Keywords
Cite
@article{arxiv.hep-th/9602036,
title = {On the symplectic structures arising in Optics},
author = {Jose F. Cariñena and J. Nasarre},
journal= {arXiv preprint arXiv:hep-th/9602036},
year = {2009}
}
Comments
AmsTeX file and 2 figures (epsf required). To appear in Forsch. der Physik. This version replaces that of (96/02/09) where postcript files containing figures were corrupted