Bespoke analogue space-times: Meta-material mimics
arXiv:1801.05549 · doi:10.1007/s10714-018-2376-2
Abstract
Modern meta-materials allow one to construct electromagnetic media with almost arbitrary bespoke permittivity, permeability, and magneto-electric tensors. If (and only if) the permittivity, permeability, and magneto-electric tensors satisfy certain stringent compatibility conditions, can the meta-material be fully described (at the wave optics level) in terms of an effective Lorentzian metric --- an analogue spacetime. We shall consider some of the standard black-hole spacetimes of primary interest in general relativity, in various coordinate systems, and determine the equivalent meta-material susceptibility tensors in a laboratory setting. In static black hole spacetimes (Schwarzschild and the like) certain eigenvalues of the susceptibility tensors will be seen to diverge on the horizon. In stationary black hole spacetimes (Kerr and the like) certain eigenvalues of the susceptibility tensors will be seen to diverge on the ergo-surface.
22 pages
References in corpus (7)
- A Completely Covariant Approach to Transformation Optics
- Dielectric Analog Space-Times
- Generalized Transformation Optics of Linear Materials
- Rotating black hole solutions in relativistic analogue gravity
- Effective metrics and a fully covariant description of constitutive tensors in electrodynamics
- Analogue Gravity Models From Conformal Rescaling
- On the (1+3) threading of spacetime with respect to an arbitrary timelike vector field