1. Optical analogues to the Kerr-Newman black hole
- Author
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Tinguely, R. A. and Turner, Andrew P.
- Subjects
General Relativity and Quantum Cosmology ,Physics::Optics ,FOS: Physical sciences ,General Relativity and Quantum Cosmology (gr-qc) ,Physics - Optics ,Optics (physics.optics) - Abstract
Optical analogues to black holes allow the investigation of general relativity in a laboratory setting. Previous works have considered analogues to Schwarzschild black holes in an isotropic coordinate system; the major drawback is that required material properties diverge at the horizon. We present the dielectric permittivity and permeability tensors that exactly reproduce the equatorial Kerr-Newman metric, as well as the gradient-index material that reproduces equatorial Kerr-Newman null geodesics. Importantly, the radial profile of the scalar refractive index is finite along all trajectories except at the point of rotation reversal for counter-rotating geodesics. Construction of these analogues is feasible with available ordinary materials. A finite-difference frequency-domain solver of Maxwell's equations is used to simulate light trajectories around a variety of Kerr-Newman black holes. For reasonably sized experimental systems, ray tracing confirms that null geodesics can be well-approximated in the lab, even when allowing for imperfect construction and experimental error., Comment: 18 pages, 6 figures, LaTeX
- Published
- 2019
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