Optical analogues to the equatorial Kerr–Newman black hole

Tinguely, R. A.; Turner, Andrew P.

doi:10.1038/s42005-020-0384-5

Optical analogues to the equatorial Kerr–Newman black hole

Journal Article · Fri Jul 03 00:00:00 EDT 2020 · Communications Physics

DOI:https://doi.org/10.1038/s42005-020-0384-5· OSTI ID:1675375

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Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center; OSTI
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics

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.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0012567

OSTI ID:: 1675375

Journal Information:: Communications Physics, Journal Name: Communications Physics Journal Issue: 1 Vol. 3; ISSN 2399-3650

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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