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Effects of the septic nonlinearity and the initial value of the radius of orbital angular momentum beams on data transmission in optical fibers using the cubic-quintic-septic complex Ginzburg-Landau equation in presence of higher-order dispersions
Chaos, Solitons & Fractals ( IF 5.3 ) Pub Date : 2021-04-24 , DOI: 10.1016/j.chaos.2021.110957
M. Djoko , Conrad Bertrand Tabi , T.C. Kofane

In a three-dimensional (3D) dissipative medium described by the higher-order (3+1)-dimensional cubic-quintic-septic complex Ginzburg-Landau [(3+1)D CQS-CGL] equation with the viscous (spectral-filtering) term, self steepening, Raman effect, dispersion terms up to six, diffraction and cubic-quintic-septic nonlinearities, we demonstrate that necklace ring beams with initial spherical shape carrying integer and even fractional angular momentum and whose intensities are azimuthally periodically modulated, can evolve into caterpillar, hexagonal, rectangular, scorpion, diamond and pillow dissipative optical bullets. The outcome of the evolution is controlled by the radius and the value of the septic nonlinearity in the initial necklace ring. We reveal numerically that spatiotemporal necklace-ring solitons carrying integer, and even fractional angular momentum can be self-trapped over a huge propagation distance even in the presence of random perturbations.



中文翻译:

在存在高阶色散的情况下,使用立方五次方化粪便复数Ginzburg-Landau方程,化脓性非线性和轨道角动量束半径的初始值对光纤中数据传输的影响

在三维(3D)耗散介质中,该介质由高阶(3 + 1)维立方五次方-化粪池复杂的Ginzburg-Landau [(3 + 1)D CQS-CGL]方程描述,具有粘性(光谱-滤波,项,自变陡,拉曼效应,色散项(最多六项),衍射和立方五次方非线性,我们证明了初始环形的项链环光束带有整数和偶数的分数角动量,并且强度被周期性地周期性地调制,可以演变成毛毛虫,六角形,矩形,蝎子,钻石和枕头耗散的光学子弹。演化的结果受初始项链环中半径和化脓性非线性值的控制。我们从数字上揭示时空项链环孤子携带整数,

更新日期:2021-04-24
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