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Nonlinear Optics

Demonstration of simultaneous nonlinear polarization rotation and dispersive bistability

Drew N. Maywar, Saif A. Al Graiti

Published Jan 1, 2019• 2 citations
Publisher

Abstract

We experimentally demonstrate the simultaneous occurrence of two nonlinear optical phenomena – nonlinear polarization rotation and dispersive optical bistabilty. The Stokes parameters exhibit bistable hystereses corresponding to a measured orthogonality of 30%.
DOI
10.1364/nlo.2019.nm2b.6

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We study the simultaneous occurrence of dispersive optical bistability and nonlinear polarization rotation in a nonlinear photonic resonator. The demonstrated bistable hysteresis curves of the Stokes parameters broaden the notion of optical bistability in nonlinear resonators beyond that of the traditional optical-power hysteresis curve. We present a theoretical model to fully understand the polarization hysteresis curves observed in the laboratory and to establish the relevant scaling parameters for bistable action. By optimizing the optical-signal power injected into each polarization mode of the resonator and optimizing the small-signal birefringence of the resonator by selection of the signal wavelength, a polarization rotation of 30% orthogonality was achieved between stable polarization states in the lab. The theoretical and experimental methods reported here are carried out for the case of a Fabry–Perot semiconductor optical amplifier, and are extendable to the investigation of simultaneous occurrence of these phenomena in other nonlinear media (such as Kerr media) and other photonic resonators.
Polarization bistability has been proposed as having a number of advantages over conventional schemes.1 We have investigated polarization switching in a Fabry-Perot cavity filled with an aligned nematic. In this nonlinear, birefringent cavity, the transmittance for each polarization is a single valued function of the irradiance inside the cavity. This couples the two polarizations so that, unless sufficiently separated spatially, they switch simultaneously. Although limiting the range of possible applications, this coupling may be used to advantage to implement some optical latches.
We theoretically study quadrature and polarization squeezing in dispersive optical bistability through a vectorial Kerr cavity model describing a nonlinear cavity filled with an isotropic ${\ensuremath{\chi}}^{(3)}$ medium in which self-phase- and cross-phase-modulation, as well as four-wave mixing, occur. We derive expressions for the quantum fluctuations of the output field quadratures as a function of which we express the spectrum of fluctuations of the output-field Stokes parameters. We pay particular attention to study how the bifurcations affecting the non-null linearly polarized output mode squeezes the orthogonally polarized vacuum mode, and show how this produces polarization squeezing.