非各向异性非局域非线性介质中的螺旋椭圆 Hermite-Gaussian 孤子。
Spiraling elliptic Hermite-Gaussian solitons in nonlocal nonlinear media without anisotropy.
机构信息
School of Electrical & Electronic Engineering, Shangqiu Normal University, Shangqiu, 476000, China.
College of Physics and Electronic Engineering, Hengyang Normal University, Hengyang, 421002, China.
出版信息
Sci Rep. 2017 Jun 12;7(1):3234. doi: 10.1038/s41598-017-03669-x.
We introduce a kind of the spiraling elliptic Hermite-Gaussian solitons in nonlocal nonlinear media without anisotropy, which carries the orbital angular momentum and can rotate in the transverse. The n-th mode of the spiraling elliptic Hermite-Gaussian solitons has n holes nested in the elliptic profile. The analytical spiraling elliptic Hermite-Gaussian solitons solutions are obtained based on the variational approach, which agree well with the numerical simulations. It is found that the critical power and the critical angular velocity for the spiraling elliptic Hermite-Gaussian solitons are the same as the counterpart of the ground mode.
我们在非各向同性的非局域非线性介质中引入了一种具有轨道角动量且可以在横向上旋转的螺旋椭圆厄米-高斯孤子。螺旋椭圆厄米-高斯孤子的第 n 个模式在椭圆轮廓内嵌套有 n 个孔。我们基于变分法得到了螺旋椭圆厄米-高斯孤子的解析解，与数值模拟吻合得很好。结果表明，螺旋椭圆厄米-高斯孤子的临界功率和临界角速度与基模的对应值相同。
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