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首页> 外文期刊>Reports on Mathematical Physics >Shape-changing collisions of coupled bright solitons in birefringent optical fibers
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Shape-changing collisions of coupled bright solitons in birefringent optical fibers

机译:双折射光纤中耦合亮孤子的形变碰撞

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摘要

We critically review the recent progress in understanding soliton propagation in birefringent optical fibers. By constructing the most general bright two-soliton solution of the integrable coupled nonlinear Schrodinger equation (Manakov model) we point out that solitons in birefringent fibers can in general change their shape after interaction due to a change in the intensity distribution among the modes even though the total energy is conserved. However, the standard shape-preserving collision (elastic collision) property of the (1 + 1)-dimensional solitons is recovered when restrictions are imposed on some of the soliton parameters. As a consequence the following further properties can be deduced using this shape-changing collision. (i) The exciting possibility of switching of solitons between orthogonally polarized modes of the birefringent fiber exists. (ii) When additional effects due to periodic rotation of birefringence axes are considered, the shape changing collision can be used as a switch to suppress or to enhance the periodic intensity exchange between the orthogonally polarized modes. (iii) For ultra short optical soliton pulse propagation in non-Kerr media, from the governing equation an integrable system of coupled nonlinear Schrodinger equation with cubic-quintic terms is identified. It admits a nonlocal Poisson bracket structure. (iv) If we take into account the higher-order terms in the coupled nonlinear Schrodinger equation then their effect on the shape changing collision of solitons, during optical pulse propagation, can be studied by using a direct perturbational approach.
机译:我们批判性地回顾了了解双折射光纤中孤子传播的最新进展。通过构造可积分耦合非线性Schrodinger方程(Manakov模型)的最通用的明亮两孤子解,我们指出,双折射光纤中的孤子在相互作用后通常可以改变其形状,这是由于各模式之间的强度分布发生了变化,即使总能量得以节省。但是,当对某些孤子参数施加限制时,将恢复(1 +1)维孤子的标准形状保持碰撞(弹性碰撞)属性。结果,使用该形状变化的碰撞可以得出以下进一步的特性。 (i)存在在双折射光纤的正交偏振模之间切换孤子的令人兴奋的可能性。 (ii)当考虑到由于双折射轴的周期性旋转引起的附加影响时,可以将形状改变碰撞用作抑制或增强正交偏振模式之间的周期性强度交换的开关。 (iii)对于超短光孤子脉冲在非Ker介质中的传播,根据控制方程,确定了带有立方五次项的耦合非线性Schrodinger方程的可积系统。它接受非局部的Poisson括号结构。 (iv)如果我们考虑了耦合非线性Schrodinger方程中的高阶项,则可以使用直接微扰方法研究它们在光脉冲传播过程中对孤子形状变化碰撞的影响。

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