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Wuhan University Journal of Natural Sciences

Influence of Kerr Effect on Second-Order Nonlinearity Induced Transparency

Zhiqiang Zhang, Y. H. Zhou

Published Feb 1, 2024• 0 citations
Publisher

Abstract

We theoretically study the effect of Kerr effect on the second-order nonlinearity induced transparency in a double-resonant optical cavity system. We show that in the presence of the Kerr effect, as the strength of the Kerr effect increases, the absorption curve exhibits an asymmetric-symmetric-asymmetric transition, and the zero absorption point shifts with the increase of the Kerr effect. Furthermore, by changing the strength of the Kerr effect, we can control the width of the transparent window, and the position of the zero-absorption point and meanwhile change the left and right width of the absorption peak. The asymmetry absorption curve can be employed to improve the quality factor of the cavity when the frequency detuning is tuned to be around the right peak. The simple dependence of the zero-absorption point on the strength of Kerr effect suggests that the strength of Kerr effect can be measured by measuring the position of the zero-absorption point in a possible application.

DOI
10.1051/wujns/2024291067

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We study the cross-Kerr (CK) effect on an optomechanical system driven by two-tone fields. We show that in the presence of the CK effect, a bistable behavior of the mean photon number in the cavity becomes more robust against the fluctuations of the frequency detuning between the cavity mode and the control field. The bistability can also be turned into a tristability within the experimentally accessible range of the system parameters. Also, we find that the symmetric profile of the optomechanically induced transparency is broken and the zero-absorption point is shifted in the presence of the CK effect. This shift can be used to measure the strength of the CK effect and the asymmetric absorption profiles can be employed to engineer a high quality factor of the cavity.
A theoretical investigation was carried out into the program for enhancing the Kerr nonlinearity by interacting double dark states resonances.Using density-matrix equations and perturbative iterative method,the dependence of the real part of the third-order susceptibility on the variation of the additional coherent driving field detuning was derived.It is found that the maximal Kerr nonlinearity induced by interacting dark resonances increases with increment of the detuning and enters gradually the electromagnetically induced transparency window,in which the corresponding linear absorption vanishes,moreover,by utilizing the dressed state theory,physical mechanisms for the results were presented.The realization of the giant Kerr nonlinearity with vanishing absorption is possible in a generic four-level system with double dark resonances.
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Abstract In this paper, we investigate the phenomena of electromagnetically induced transparency and the generation of second-order sideband in a Laguerre–Gaussian cavity optorotational system with a Kerr nonlinear medium. Using the perturbation method, we analyze the first- and second-order sideband generations in the output field from the system under the actions of a strong control field and a weak probe field. Numerical simulations show that the Kerr nonlinearity can lead to the occurrence of the asymmetric line shape in the transmission of the probe field. Comparing with traditional scheme for generating the second-order sideband, our spectral shape of the second-order sideband is amplified and becomes asymmetric, which has potential applications in precision measurement, high-sensitivity devices, and frequency conversion.
The thermal-induced nonlinear effect in a micro-cavity with small mode volume is extremely important for studying the optical cavity’s physical properties. In this work, we discuss the Kerr effect acting on the photothermally induced transparency (PTIT) and group delays in a photothermal cavity. We analyze the optical bistability with the thermal and Kerr nonlinear effects in the photothermal system, which directly impacts the dynamical stability and the threshold for bistability, eventually leading to an increase in the number of photons in the steady state. Meanwhile, the Kerr nonlinear effect greatly modifies the Fano-like PTIT in the system with photothermal effect, and the window is effectively compensated to symmetrical PTIT by Kerr-induced cavity frequency redshift. A group delay and advance are observed in the phase of the transmitted probe field, which enables light to be stored in the milliseconds range. The results demonstrate the possibility of enhancing or steering the performance of PTIT and group delay in nonlinear optical cavities, and it will find some applications in optical sensing and communications.