Yang Yuwen, Shen Ming
Institute for Quantum Science and Technology, Department of Physics, Shanghai University, Shanghai, 200444, China.
Sci Rep. 2024 Apr 18;14(1):8961. doi: 10.1038/s41598-024-59722-z.
Modulation instability of one-dimensional plane wave is demonstrated in nonlinear Kerr media with sine-oscillatory nonlocal response function and pure quartic diffraction. The growth rate of modulation instability, which depends on the degree of nonlocality, coefficient of quartic diffraction, type of the nonlinearity and the power of plane wave, is analytically obtained with linear-stability analysis. Different from other nonlocal response functions, the maximum of the growth rate in media with sine-oscillatory nonlocal response function occurs always at a particular wave number. Theoretical results of modulation instability are confirmed numerically with split-step Fourier transform. Modulation instability can be controlled flexibly by adjusting the degree of nonlocality and quartic diffraction.
在具有正弦振荡非局部响应函数和纯四次衍射的非线性克尔介质中，证明了一维平面波的调制不稳定性。通过线性稳定性分析，解析地得到了调制不稳定性的增长率，该增长率取决于非局部程度、四次衍射系数、非线性类型和平面波功率。与其他非局部响应函数不同，具有正弦振荡非局部响应函数的介质中增长率的最大值总是出现在特定的波数处。用分步傅里叶变换对调制不稳定性的理论结果进行了数值验证。通过调整非局部程度和四次衍射，可以灵活地控制调制不稳定性。
