波导中具有三次非线性克尔效应的光弹

A. M. Goncharenko, I. Garanovich
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摘要

只提供摘要形式。光波包在空间上以窄光束的形式存在,在时间上以短脉冲的形式存在,我们称之为“光弹”。具有高斯时空分布的功率超短激光脉冲在具有相同分布的克尔非线性光场的波导中产生。其他非线性的响应时间是有限的,不能确定压缩光弹在空间和时间上的性质。已知在克尔非线性介质中,只有一维空间孤子是稳定的。然而,孤子压缩过程需要有限的时间和一定的空间距离。目前已经有飞秒甚至皮秒量级的激光脉冲。对于普通空间孤子,坍缩焦距的估计是已知的,其数量级为10/sup -3/ cm。飞秒光弹的空间延伸比坍缩的焦距小3-4个数量级。因此,光弹没有足够的时间在这么短的距离内坍缩,坍缩的焦点一直在光弹前面一段距离内移动,同时子弹在波导中传播。我们的研究表明,在球对称波导和椭圆波导的情况下,光弹的横向尺寸和时间持续时间都随着脉冲在波导中的传播而轻微振荡。这证实了具有克尔非线性的光弹在波导中的稳定性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Light bullets in waveguides with the cubic nonlinear Kerr effect
Summary form only given. Optical wave packet which is localized both in space in the form of the narrow beam and in time in the form of the short pulse is called "light bullet". Power ultra short laser pulse with Gaussian spatial-temporal profile induces in the waveguide with Kerr nonlinearity light field with the same profile. Other nonlinearities have finite time of the response and cannot determine properties of squeezed, in space and time, light bullets. It is known that in Kerr nonlinear medium only 1-dimensional spatial solitons are stable. Nevertheless, soliton squeezing process takes finite period of time and some distance in space. Nowadays laser pulses of femtosecond and even picosecond range are available. For the case of ordinary spatial solitons the estimation for the focal length of the collapse is well-known and is of the order of 10/sup -3/ cm. Spatial extension of the femtosecond light bullet is by 3-4 orders of magnitude less than the focal length of the collapse. Thus light bullet just doesn't have enough time to collapse at such a short distance and the focus of the collapse moves all the time at some distance ahead of the light bullet along with the bullet propagating in the waveguide. Our studies show that in the cases of spherically symmetrical and elliptical waveguides both transverse dimensions and temporal duration of the light bullet slightly oscillates along with the pulse propagating in the waveguide. This confirms stability of the light bullets in the waveguides with Kerr nonlinearity.
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