Composition law for polarizers
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In this paper, the trajectories of the wave light polarization during the polarization process were determined using the Stokes vector representation, and it was shown that such trajectories are not always geodesics of the Poincare sphere as is usually thought.Abstract:
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 Poincare 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.read more
Citations
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Thin film-based Gires–Tournois Resonator (GTR) as quasi-optical analogue of the Thomas rotation angle effect in special relativity
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References
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Book
Principles of Optics
TL;DR: In this paper, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.
Principles of Optics
TL;DR: In this article, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.
Journal ArticleDOI
The Adiabatic Phase and Pancharatnam's Phase for Polarized Light
TL;DR: In this article, the existence of the phase is attributed to the non-transitivity of Pancharatnam's connection between different states of polarization, and the precise relation is established using the algebra of spinors and 2 × 2 Hermitian matrices.
Journal ArticleDOI
Anticipations of the Geometric Phase
TL;DR: In science we like to emphasize the novelty and originality of our ideas, but this is harmless enough, provided it does not blind us to the fact that concepts rarely arise out of nowhere as discussed by the authors.
Journal ArticleDOI
Thomas precession and its associated grouplike structure
TL;DR: In this paper, it was shown that the Thomas precession of special relativity theory is the mechanism that stores the mathematical regularity in the set of all relativistically admissible three-dimensional velocities.
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