Effect of cross-Kerr nonlinearity on second-order nonlinearity induced transparency
Considering the presence of cross-Kerr nonlinearity in the coupling medium,the influence of the cross-Kerr effect on the second-order nonlinearity induced transparency in coupled dual optical cavities is stud-ied analytically.Firstly,the Hamiltonian that describes the theoretical model of the system is given,and then the transmittance of the detection field is obtained by linearizing the Heisenberg-Langevin equation,and finally the absorption and dispersion relations of the system are obtained.The numerical simulation results showed that when the strength of the cross-Kerr nonlinearity is small,its influence on the induced transparency can be ignored.As the strength of the cross-Kerr nonlinearity increases,the width of the induced transparency window narrows rapid-ly.In addition,double absorption peaks appear in the absorption curve.When the cross-Kerr nonlinearity is fur-ther enhanced,the original induced transparency disappears,and a new induced transparency is generated at the new absorption peak.The zero-absorption position of the new induced transparency shifts to the left side as the cross-Kerr nonlinearity increases.These results may provide some useful assistance in the narrow-window light transmission of opaque media and the improvement of the performance of optical cavities.
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