2008/08/09 by J. Lages, José Lages, R. Giust +3 · 1 citation
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Liquid Crystal Research Advancements #Mathematics and Applications #Semiconductor Lasers and Optical Devices #physics.optics #quant-ph
paper · pdf · doi:10.1103/physreva.78.033810
published as Phys. Rev. A 78, 033810 (2008) · 23 pages, 9 figures, accepted for publication in Physical Review A
arxiv created 2008/08/09 · openalex publication_date 2008/09/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The polarization process when polarizers act on an optical field is studied. We give examples for two kinds of polarizers. The first kind presents an anisotropic absorption---as in a Polaroid film---and the second one is based on total reflection at the interface with a birefringent medium. Using the Stokes vector representation, we determine explicitly the trajectories of the wave light polarization during the polarization process. We find that such trajectories are not always geodesics of the Poincar'e sphere as is usually thought. Using the analogy between light polarization and special relativity, we find that the action of successive polarizers on the light wave polarization is equivalent to the action of a single resulting polarizer followed by a rotation achieved, for example, by a device with optical activity. We find a composition law for polarizers similar to the composition law for noncollinear velocities in special relativity. We define an angle equivalent to the relativistic Wigner angle which can be used to quantify the quality of two composed polarizers.