Journal ArticleDOI
On a quasi-relativistic formula in polarization theory.
TLDR
In a pure operatorial (nonmatrix) Pauli algebraic approach, this Letter shows that the Poincaré vector of the light transmitted by a dichroic device can be expressed as function of the PoINCaré vectors of the incoming light and of the device by a composition law of the same kind as the composition law as the noncolinear relativistic velocities.Abstract:
In a pure operatorial (nonmatrix) Pauli algebraic approach, this Letter shows that the Poincare vector of the light transmitted by a dichroic device can be expressed as function of the Poincare vectors of the incoming light and of the device by a composition law of the same kind as the composition law of the noncolinear relativistic velocities. This is, in fact, a general law of composition for three-dimensional (3D) vectors remaining in the Poincare ball (where they have a group-like structure). The differences between this problem and that of the composition law of two dichroic devices are pointed out and justified.read more
Citations
More filters
Journal ArticleDOI
Lorentz Transformation, Poincaré Vectors and Poincaré Sphere in Various Branches of Physics
TL;DR: In the frame of a generic language extended from the polarization theory, a geometric approach to Lorentz transformations alternative to the Minkowskian one is given, which operates in the three-dimensional space of Poincare vectors.
Journal ArticleDOI
Toward Special-Relativity-on-a-Chip: analogue of Einstein velocity addition using optical add-drop filter (OADF)
TL;DR: In this paper, an optical analogue of a central concept in Special Relativity (SR) that underlies many relativistic effects is presented, which is the Einstein Velocity Addition (EVA) which plays a fundamental role in the development of SR.
Journal ArticleDOI
Relativistic aberration of light mimicked by microring resonator-based optical All-Pass Filter (APF)
Benjamin B. Dingel,Aria Buenaventura,Annelle Chua,Nathaniel Joseph C. Libatique,Koji Murakawa +4 more
TL;DR: In this paper, a photonic circuit analogue of the relativistic aberration of light (AL) phenomenon in Special Relativity (SR) using an All-Pass Filter (APF) is reported.
Journal ArticleDOI
Generalized Lorentz transformation in polarization optics
TL;DR: In this paper, the Stokes quadrivector of optical polarization states and the Minkovskian quadrivectors of relativistic events were compared and the equivalent in polarization theory of the vectorial form of Lorentz boost equations was established.
Journal ArticleDOI
Thin film-based Gires–Tournois Resonator (GTR) as quasi-optical analogue of the Thomas rotation angle effect in special relativity
Benjamin B. Dingel,Aria Buenaventura,Annelle Raphayette Tiong Chua,Nathaniel Joseph C. Libatique +3 more
TL;DR: In this article, a thin-film based asymmetric Fabry-Perot resonator with a partially reflecting front mirror and a 100% rear-reflecting mirror was used to generate an optical analogue of the Thomas rotation angle.
References
More filters
Journal ArticleDOI
Description of States in Quantum Mechanics by Density Matrix and Operator Techniques
Journal Article
Group theory and polarisation algebra
TL;DR: In this paper, the authors propose an approach unifiee a l'algebre de la polarisation en utilisant les groupes unitaires speciaux SU(2) et SU(4) and leurs homomorphismes respectifs.
Journal ArticleDOI
Homogeneous and inhomogeneous Jones matrices
Shih Yau Lu,Russell A. Chipman +1 more
TL;DR: In this paper, the classification of polarization properties of polarization elements is studied to derive data-reduction equations for extracting the diattenuation, retardance, and other polarization properties from their Jones matrices.
Journal ArticleDOI
Polarimetric characterization of light and media - Physical quantities involved in polarimetric phenomena
TL;DR: An objective analysis is carried out of the matricial models representing the polarimetric properties of light and material media leading to the identification and definition of their corresponding physical quantities, using the concept of the coherency matrix, which constitutes a powerful tool for analyzing and exploiting experimental and industrial polarimetry.
Journal ArticleDOI
Bilinear constraints between elements of the 4 x 4 Mueller-Jones transfer matrix of polarization theory
Richard Barakat,Richard Barakat +1 more
TL;DR: In this paper, the number of independent parameters of the Mueller matrix of a collimator-radiometer system has been investigated in terms of 9 nonlinear (bilinear) equations.
Related Papers (5)
What is common to both polarization optics and relativistic kinematics
P. Pellat-Finet,M. Bausset +1 more
Non-image-forming polarization optical devices and Lorentz transformations — an analogy
Tomáš Opatrný,Jan Peřina +1 more