Optical analogues to the equatorial Kerr-Newman black hole

• Main Authors: Tinguely, Roy Alexander (Author), Turner, Andrew Patrick (Author)
• Other Authors: Massachusetts Institute of Technology. Plasma Science and Fusion Center (Contributor), Massachusetts Institute of Technology. Center for Theoretical Physics (Contributor)
• Format: Article
• Language: English
• Published: Springer Science and Business Media LLC, 2020-08-13T20:01:04Z.
• Subjects: Article
• Online Access: Get fulltext

 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.