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《量子光学学报》2021,27(3):213-218
空间光孤子是介质衍射效应和非线性效应相平衡的结果。当两束非相干光在非线性介质中传输时,两孤子发生交叠而产生相互作用,本文研究自散焦介质中非相干耦合暗孤子对的传输特性和相互作用。基于描述光束传播的耦合非线性薛定谔方程组,利用变分法,首先得到了自散焦克尔介质中传输的两暗孤子的幅值、横向中心位置坐标、速度和相位随传输距离变化的参数演化方程组,讨论了孤子参数演化的规律。然后,为分析孤子间相互作用,导出了两幅值相等的暗孤子在传输过程中孤子间距随传输距离的变化规律,作出了孤子对传输图像和相互作用图像,最后导出了孤子间相互作用势能和相互作用力的表达式,并利用图像详细分析了孤子间的相互作用特性。研究结果表明:无损耗情况下,孤子的幅值不受耦合作用的影响,传输过程中保持不变;耦合相互作用使两孤子横向中心位置坐标发生明显漂移,当两孤子间距较小时,孤子间距随传输距离作变速变化,变化速率与孤子的幅值和耦合程度有关,当两孤子间距趋近于零时,孤子间距随传输距离呈匀速的稳定变化;暗孤子间的相互作用力为排斥力,随着孤子间距增大,排斥力先增大后减小,而相互作用势能一直逐渐减小,当孤子间距增至4.5附近时,孤子间势能减小到几乎为零。 相似文献
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利用自相似方法研究了强非局域介质中的二维孤子波,得到了强非局域薛定谔方程的精确自相似解.该解可以用惠克斯函数米描述.研究表明,在该种介质中存在孤子群,以自相似的方式传输,通过选择光孤子参数,高阶光孤子可以存在不同的形式,如高斯光孤子族、涡旋光孤子族、对称性单层光孤子族和多层光孤子族、不对称单层光孤子族和多层光孤子族.通过数值模拟,进一步证明孤子群在传输过程中的稳定性. 相似文献
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使用改进的齐次平衡方法,研究了破裂孤子方程的孤子解结构,发现它具有单孤子解,单曲线孤子解,单dromion孤子解,多dromion孤子解。 相似文献
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The abundant generalized dromion structures for the (2+1)-dimensional KdV equation are obtained using the homogeneous balance method. We give not only the general curve soliton which is finite on a curved line and localized apart from the curve, find but also the dromion solutions which can be driven by two perpendicular line soliton and by two non-perpendicular line soliton and by one line soliton and one curve line soliton. Various types of multi-dromion solutions can be constituted by selecting different arbitrary functions of y. The (1+N) dromion obtained by Radha et al.[3] is only a very special case of our results. 相似文献
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研究了单模光纤中最小群速度色散波长附近的孤子传输,利用最小作用量原理得到了由四阶色散控制的一族孤子解,在这族孤子解中包含了原来文献中报道的精确解且解析解与数值模拟结果一致. 相似文献
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Nonlinear Schrödinger-type equations are important models that have emerged from a wide variety of fields, such as fluids, nonlinear optics, the theory of deep-water waves, plasma physics, and so on. In this work, we obtain different soliton solutions to coupled nonlinear Schrödinger-type (CNLST) equations by applying three integration tools known as the $\left(\tfrac{{G}^{{\prime} }}{{G}^{2}}\right)$-expansion function method, the modified direct algebraic method (MDAM), and the generalized Kudryashov method. The soliton and other solutions obtained by these methods can be categorized as single (dark, singular), complex, and combined soliton solutions, as well as hyperbolic, plane wave, and trigonometric solutions with arbitrary parameters. The spectrum of the solitons is enumerated along with their existence criteria. Moreover, 2D, 3D, and contour profiles of the reported results are also plotted by choosing suitable values of the parameters involved, which makes it easier for researchers to comprehend the physical phenomena of the governing equation. The solutions acquired demonstrate that the proposed techniques are efficient, valuable, and straightforward when constructing new solutions for various types of nonlinear partial differential equation that have important applications in applied sciences and engineering. All the reported solutions are verified by substitution back into the original equation through the software package Mathematica. 相似文献
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研究了晶体损耗对屏蔽光伏空间孤子在加偏压的光伏光折变晶体中演化特性的影响.结果表明,损耗除了造成屏蔽光伏孤子光波振幅的减小外,还造成了孤子横截面的改变.对于明孤子,当入射波光强较低时,横截面随传播距离的增长而不断增大;而当入射波光强较高时,起初横截面不断压缩,而后再膨胀,并在某一传播距离上孤子横截面恢复到入射时的尺寸.对于暗孤子,不论入射光孤子光强的高低,横截面都随传播距离的增长而不断增大.虽然在传播距离足够短时,可以不考虑损耗的影响,但距离较大时,损耗将最终导致孤子崩溃.
关键词:
非线性光学
空间光孤子
光折变效应 相似文献
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The exact solution of the optical soliton equation with a nonlinear response delay term has been obtained by using the method of separating variables. The new type of optical solitary wave solution, which is quite different from the bright and dark soliton solutions, has been found for a special case. 相似文献
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《Physics letters. A》2020,384(9):126201
In this paper, we report a more general class of nondegenerate soliton solutions, associated with two distinct wave numbers in different modes, for a certain class of physically important integrable two component nonlinear Schrödinger type equations through bilinearization procedure. In particular, we consider coupled nonlinear Schrödinger (CNLS) equations (both focusing as well as mixed type nonlinearities), coherently coupled nonlinear Schrödinger (CCNLS) equations and long-wave-short-wave resonance interaction (LSRI) system. We point out that the obtained general form of soliton solutions exhibit novel profile structures than the previously known degenerate soliton solutions corresponding to identical wave numbers in both the modes. We show that such degenerate soliton solutions can be recovered from the newly derived nondegenerate soliton solutions as limiting cases. 相似文献
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In the present paper, the two-dimensional quantum Zakharov-Kuznetsov (QZK) equation, three-dimensional quantum Zakharov-Kuznetsov equation and the three-dimensional modified quantum Zakharov-Kuznetsov equation are analytically investigated for exact solutions using the modified extended tanh-expansion based method. A variety of new and important soliton solutions are obtained including the dark soliton solution, singular soliton solution, combined dark-singular soliton solution and many other trigonometric function solutions. The used method is implemented on the Mathematica software for the computations as well as the graphical illustrations. 相似文献