Modified geometrical optics in a curved spacetime

Baghaiefard, M. M.

doi:10.30511/ttmp.2024.2016571.1020

Modified geometrical optics in a curved spacetime

Document Type : Original Article

Author

M. M. Baghaiefard

Isfahan University of Technology

10.30511/ttmp.2024.2016571.1020

Abstract

In this article, the propagation of high-frequency monochromatic
beam of circularly polarized electromagnetic waves in a curved spacetime has been studied. At first, the standard geometrical optics is
investigated; That is, we consider the waves with infinitely high frequency. In this step, it is found that the trajectories of light are null
geodesics. Secondly, the geometrical optics is modified. For this end,
by considering the polarization of light, helicity-dependent correction
on the geometrical optics is included. As a result, we realize that the
modified wave vector is null. Furthermore, the trajectories of light are
null non-geodesic paths.

Keywords

Circular Polarization

Helicity

Curved Spacetime

Geometrical Optics

Modified Geometrical Optics

Subjects

Classical and Quantum gravity and String Theory

1. V. P. Frolov and A. A. Shoom, Phys. Rev. D 84, 044026
(2011).#

2. V. P. Frolov and A. A. Shoom, Phys. Rev. D 86, 024010
(2012).#

3. M. A. Oancea, J. Joudioux, I. Dodin, D. Ruiz, C. F. Pa
ganini, and L. Andersson, (2020).#

4. S. R. Dolan, (2018), arXiv:1801.02273 [gr-qc].#

5. V. P. Frolov, Phys. Rev. D 102, 084013 (2020).#

6. M.M.Baghaiefard, The effect of polarization on the ray
trajectories of light in a curved spacetime. M.Sc. Thesis.
Department of Physics, Isfahan University of Technol
ogy, Iran (2023).#

7. C. W. Misner, K, Thorne, and J, Wheeler, Gravitation
(1947).#

8. Benn, I.M. and Tucker, R.W. An Introduction to Spinors
andGeometry with Applications in Physics. AdamHilger
(IOP publishing Ltd), 1987.#

9. I. Arnold, Mathematical methods of classical mechanics
(Springer, 1989)#