Gryaznov G A, Makarov V A, Perezhogin I A, Potravkin N N
Faculty of Physics and International Laser Center of Lomonosov Moscow State University, Moscow, Russia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jan;89(1):013306. doi: 10.1103/PhysRevE.89.013306. Epub 2014 Jan 21.
We propose a general model of third-order nonlinear optical susceptibility of isotropic gyrotropic medium with frequency and spatial dispersion. Our model allows for the description of the propagation of ultrashort (several oscillations) elliptically polarized laser pulses in such a medium and does not require smallness of the characteristic nonlocality dimension, unlike the conventional phenomenological model. We implemented our model numerically by means of a modified finite-difference time-domain method with an auxiliary differential equation. We have validated the correctness of our model by the comparison of the results obtained in our numerical simulations with generally known effects observed experimentally and described earlier theoretically for the monochromatic radiation or within the slowly varying envelope approach. We investigated effects accompanying the propagation of ultrashort (several oscillations) light pulses in nonlinear isotropic gyrotropic medium with frequency and spatial dispersion of cubic nonlinearity.
我们提出了一种具有频率和空间色散的各向同性旋光介质的三阶非线性光学极化率的通用模型。我们的模型能够描述超短（几个振荡周期）椭圆偏振激光脉冲在这种介质中的传播，并且与传统的唯象模型不同，它不需要特征非局域尺寸很小。我们通过带有辅助微分方程的改进时域有限差分方法对模型进行了数值实现。通过将数值模拟结果与实验中观察到的、先前理论上针对单色辐射或在缓变包络近似下描述的已知效应进行比较，我们验证了模型的正确性。我们研究了具有立方非线性频率和空间色散的非线性各向同性旋光介质中超短（几个振荡周期）光脉冲传播所伴随的效应。
