37 research outputs found
Scattering of circularly polarized light by a rotating black hole
We study scattering of polarized light by a rotating (Kerr) black hole of the
mass M and the angular momentum J. In order to keep trace of the polarization
dependence of photon trajectories one can use the following dimensionless
parameter: , where is the photon
frequency and the sign + (-) corresponds to the right (left) circular
polarization. We assume that |\varepsilonl << 1 and use the modified
geometric optics approximation developed in [1], that is we include the first
order in polarization dependent terms into the eikonal equation.
These corrections modify late time behavior of photons. We demonstrate that the
photon moves along a null curve, which in the limit becomes a
null geodesic. We focus on the scattering problem for polarized light. Namely,
we consider the following problems: (i) How does the photon bending angle
depend on its polarization; (ii) How does position of the image of a point-like
source depend on its polarization; (iii) How does the arrival time of photons
depend on their polarization. We perform the numerical calculations that
illustrate these effects for an extremely rotating black hole and discuss their
possible applications.Comment: 17 pages, 8 figure
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 study these effects in
arbitrary, non-stationary, asymptotically flat space-times. These effects arise
due to interaction between light polarisation and space-time angular momentum.
As a result of such interaction, the phase velocity of left- and right-handed
circularly polarised light becomes different, that results in the gravitational
Faraday effect. This difference implies different dynamics of these components,
that begin to propagate along different paths\textemdash the gravitational
spin-Hall effect of light. Due to this effect, the gravitational field splits a
multicomponent beam of unpolarized light and produces polarized gravitational
rainbow. The component separation is an accumulative effect observed in long
range asymptotics. To study this effect, we construct uniform eikonal expansion
and derive dynamical equation describing this effect. To analyse the dynamical
equation, we present it in the local space and time decomposition form. The
spatial part of the equation presented in the related optical metric is
analogous to the dynamical equation of a charged particle moving in magnetic
field under influence of the Coriolis force.Comment: 11 page