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arXiv 1507.03062physics.opticsnlin.PS
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作为一种新的非线性偏振态的光丝

The light filament as a new nonlinear polarization state

Lubomir M. Kovachev

备注：
arXiv admin note: substantial text overlap with arXiv:1503.00953
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摘要：

本文对宽带飞秒光脉冲在气体中的非线性传输进行了理论分析。详细研究了空气中电场的非线性三阶极化矢量特性。利用电场的左旋和右旋圆分量，提出了一种新的极化状态。在旋转基中导出了相应的矢量振幅方程组。我们发现这个非线性方程组具有Lorentz形状的$3D+1$矢量孤子解。该解决方案提出了一个相对稳定的传播和旋转与GHz频率的电场矢量在一个平面正交的传播方向。强度分布的演化表明，在传播的前几毫秒内，存在一个弱的自压缩和弱的球面波。

英文摘要：

We present an analytical approach to the theory of nonlinear propagation in gases of femtosecond optical pulses with broad-band spectrum . The vector character of the nonlinear third-order polarization of the electrical field in air is investigated in details. A new polarization state is presented by using left-hand and right-hand circular components of the electrical field . The corresponding system of vector amplitude equations is derived in the rotating basis. We found that this system of nonlinear equations has $3D+1$ vector soliton solutions with Lorentz shape. The solution presents a relatively stable propagation and rotation with GHz frequency of the vector of the electrical field in a plane orthogonal to the direction of propagation. The evolution of the intensity profile demonstrates a weak self-compression and a week spherical wave in the first milliseconds of propagation.

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