• Corpus ID: 56044182

Higher-order geometrical optics for electromagnetic waves on a curved spacetime

  title={Higher-order geometrical optics for electromagnetic waves on a curved spacetime},
  author={Sam R. Dolan},
  journal={arXiv: General Relativity and Quantum Cosmology},
  • S. Dolan
  • Published 7 January 2018
  • Physics
  • arXiv: General Relativity and Quantum Cosmology
We study the geometrical-optics expansion for circularly-polarized electromagnetic waves propagating on a curved spacetime in general relativity. We show that higher-order corrections to the Faraday and stress-energy tensors may be found via a system of transport equations, in principle. At sub-leading order, the stress-energy tensor possesses terms proportional to the wavelength whose sign depends on the handedness of the circular polarization. Due to such terms, the direction of energy flow… 

Figures from this paper

Massless polarized particle and Faraday rotation of light in the Schwarzschild spacetime

We present the manifestly covariant Lagrangian of a massless polarized particle, that implies all dynamic and algebraic equations as the conditions of extreme of this variational problem. The model

Gravitational waves and geometrical optics in scalar-tensor theories

The detection of gravitational waves (GWs) propagating through cosmic structures can provide invaluable information on the geometry and content of our Universe as well as on the fundamental theory of

Gravitational Faraday and spin-Hall effects of light

The gravitational Faraday and its dual spin-Hall effects of light arise in space-times of non-zero angular momentum. These effects were studied in stationary, asymptotically flat space-times. Here we

Strong-field gravitational lensing by black holes

In this thesis we study aspects of strong-field gravitational lensing by black holes in general relativity, with a particular focus on the role of integrability and chaos in geodesic motion. We first

The effect of dark matter discreteness on light propagation

Light propagation in cosmology is usually studied in the geometrical optics approximation which requires the spacetime curvature to be much smaller than the light wavenumber. However, for non-fuzzy



Principles Of Optics Electromagnetic Theory Of Propagation Interference And Diffraction Of Light

Thank you for reading principles of optics electromagnetic theory of propagation interference and diffraction of light. As you may know, people have search hundreds times for their favorite novels

A Relativist's Toolkit, The Mathematics of Black-Hole Mechanics

This new textbook is intended for students familiar with general relativity at the introductory level of Bernard Schutz's book A First Course in General Relativity (1985 Cambridge: Cambridge

Zeitschrift für Naturforschung A 22

  • 1328
  • 1967


  • 17, 576
  • 1976

Electromagnetic theory and geometrical optics

Principles of Optics : Electromagnetic theory of propagation


  • Rev. D10, 1059
  • 1974

Gravity: Newtonian

  • Post-Newtonian, Relativistic
  • 2014

Virgo, LIGO Scientific)

  • Phys. Rev. Lett. 119,
  • 2017

Physics Letters A 97

  • 140
  • 1983