Measuring the Nonlinear Refractive Index of Graphene using the Optical Kerr Effect Method
Evdokia Dremetsika, Bruno Dlubak, Simon-Pierre Gorza, Charles Ciret,, Marie-Blandine Martin, Stephan Hofmann, Pierre Seneor, Daniel Dolfi, Serge, Massar, Philippe Emplit, and Pascal Kockaert

TL;DR
This paper measures the nonlinear refractive index of graphene at telecom wavelengths using the optical Kerr effect method with heterodyne detection, revealing a negative value that contrasts prior reports and discussing possible reasons for discrepancies.
Contribution
It introduces a novel application of the OHD-OKE technique to characterize graphene's nonlinear response and compares it with Z-scan results and literature, highlighting the negative nonlinear index.
Findings
Measured a negative nonlinear refractive index for graphene.
Discrepancies found between OHD-OKE and Z-scan measurements.
Discussed effects of doping and experimental parameters on results.
Abstract
By means of the ultrafast optical Kerr effect method coupled to optical heterodyne detection (OHD-OKE), we characterize the third order nonlinear response of graphene at telecom wavelength, and compare it to experimental values obtained by the Z-scan method on the same samples. From these measurements, we estimate a negative nonlinear refractive index for monolayer graphene, . This is in contradiction to previously reported values, which leads us to compare our experimental measurements obtained by the OHD-OKE and the Z-scan method with theoretical and experimental values found in the literature, and to discuss the discrepancies, taking into account parameters such as doping.
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