Abstract
The interaction of light with rotating media has attracted recent interest for both fundamental and applied studies including rotational Doppler shift measurements. It is also possible to obtain amplification through the scattering of light with orbital angular momentum from a rotating and absorbing cylinder, as proposed by Zel'dovich more than forty years ago. This amplification mechanism has never been observed experimentally yet has connections to other fields such as Penrose superradiance in rotating black holes. Here we propose a nonlinear optics system whereby incident light carrying orbital angular momentum drives parametric interaction in a rotating medium. The crystal rotation is shown to take the phase-mismatched parametric interaction with negligible energy exchange at zero rotation to amplification for sufficiently large rotation rates. The amplification is shown to result from breaking of anti-PT symmetry induced by the medium rotation.
Highlights
Introduction.—The interaction of vortex light beams carrying orbital angular momentum (OAM) with rotating media has been shown to lead to a series of novel fundamental phenomena and applications
A recent study of second-harmonic generation in a rotating crystal showed the existence of an unexpected nonlinear analogue of the rotational Doppler effect, i.e., a frequency shift imparted upon a beam with OAM from a rotating crystal [5]
Energy of rotation of the medium can be transferred to the light field, a result whose generalization encompasses the extraction of energy from rotating black holes or stars [8,9,10,11]
Summary
Introduction.—The interaction of vortex light beams carrying orbital angular momentum (OAM) with rotating media has been shown to lead to a series of novel fundamental phenomena and applications. We find that a light beam carrying OAM can experience parametric amplification under a condition on the crystal rotation rate akin to Eq (2).
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