Lorentz group in classical ray optics

Download

index.pdf

Date

2004-06-01

Author

Baskal, S
Georgieva, E
Kim, YS
Noz, ME

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

60
views

0
downloads

It has been almost 100 years since Einstein formulated his special theory of relativity in 1905. He showed that the basic space-time symmetry is dictated by the Lorentz group. It is shown that this group of Lorentz transformations is not only applicable to special relativity, but also constitutes the scientific language for optical sciences. It is noted that coherent and squeezed states of light are representations of the Lorentz group. The Lorentz group is also the basic underlying language for classical ray optics, including polarization optics, interferometers, the Poincare sphere, one-lens optics, multi-lens optics, laser cavities, as well multilayer optics.

Subject Keywords

Physics and Astronomy (miscellaneous), Atomic and Molecular Physics, and Optics

URI

https://hdl.handle.net/11511/67469

Journal

JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS

DOI

https://doi.org/10.1088/1464-4266/6/6/001

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Neutrino oscillations induced by spacetime torsion Adak, M; Dereli, T; Ryder, LH (IOP Publishing, 2001-04-21) The gravitational neutrino oscillation problem is studied by considering the Dirac Hamiltonian in a Riemann-Cartan spacetime and calculating the dynamical phase. Torsion contributions which depend on the spin direction of the mass eigenstates are found. These effects are of the order of Planck scales.
Moller energy-momentum prescription for a Locally Rotationally Symmetric space-time Aydogdu, Oktay (World Scientific Pub Co Pte Lt, 2006-07-20) The energy distribution in the Locally Rotationally Symmetric (LRS) Bianchi type II space-time is obtained by considering the Mauler energy-momentum definition in both Einstein's theory of general relativity and teleparallel theory of relativity. The energy distribution which includes both the matter and gravitational field is found to be zero in both of these different gravitation theories. This result agrees with previous works of Cooperstock and Israelit, Rosen, Johri et al., Banerjee and Sen, Vargas, an...
Topologically massive gravity as a Pais-Uhlenbeck oscillator Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (IOP Publishing, 2006-12-21) We give a detailed account of the free- field spectrum and the Newtonian limit of the linearized ` massive' ( Pauli -Fierz), 'topologically massive' ( Einstein Hilbert - Chern - Simons) gravity in 2 + 1 dimensions about a Minkowski spacetime. For a certain ratio of the parameters, the linearized free theory is Jordan diagonalizable and reduces to a degenerate ` Pais - Uhlenbeck' oscillator which, despite being a higher derivative theory, is ghost free.
General tensor Lagrangians from the gravitational Higgs mechanism DEMİR, DURMUŞ ALİ; Park, N. K. (IOP Publishing, 2009-05-21) The gravitational Higgs mechanism proposed by 't Hooft in arXiv:0708.3184 involves the spacetime metric g(mu nu) as well as the induced metric (g) over bar (mu nu) proportional to eta(ab)partial derivative(mu)phi(a)partial derivative(nu)phi(b) where phi(a) (a = 0,..., 3), as we call it, break all four diffeomorphisms spontaneously via the vacuum expectation values proportional to x(a). In this framework, we construct and analyze the most general action density in terms of various invariants involving the c...
Classical double copy: Kerr-Schild-Kundt metrics from Yang-Mills theory GÜRSES, METİN; Tekin, Bayram (American Physical Society (APS), 2018-12-28) The classical double copy idea relates some solutions of Einstein's theory with those of gauge and scalar field theories. We study the Kerr-Schild-Kundt (KSK) class of metrics in d dimensions in the context of possible new examples of this idea. We first show that it is possible to solve the Einstein-Yang-Mills system exactly using the solutions of a Klein-Gordon-type scalar equation when the metric is the pp-wave metric, which is the simplest member of the KSK class. In the more general KSK class, the solu...

Citation Formats

S. Baskal, E. Georgieva, Y. Kim, and M. Noz, “Lorentz group in classical ray optics,” JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS, pp. 0–0, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/67469.