A coupled nonlocal nonlinear Schrödinger equation describing the propagation of the polarized vector light pulses in a weakly anisotropic waveguide with nearly instantaneous nonlinear response is introduced in the framework of the slowly varying envelope. This new equation reduces to the scalar nonlocal nonlinear Schrödinger equation in the particular case of a linear polarization of the light beam and, in the dispersionless regime, can support, in addition to the rectilinear polarization, the stable circularly and elliptically polarized compact bright (CB) pulse with an arbitrary nonlinear phase. More interesting, the exact analytical expression of the two-cycle circularly polarized CB pulse is also derived. We believe the results provide useful insight into the interaction between polarized CB pulses, namely, the strength and the period of interaction. It appears that this interaction results from the phenomenon of energy exchange between the two components of CB light pulses and can be suppressed by adjusting either their separation distance and the phase difference or the amplitudes of the two pulses. The efficiency of these analytical results has been confirmed by numerical simulations.

中文翻译：

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弱各向异性非局域Kerr形波导中的偏振矢量光学紧凑亮脉冲

在缓慢变化的包络线框架内引入了耦合的非局部非线性薛定ding方程，该方程描述了偏振矢量光脉冲在具有几乎瞬时非线性响应的弱各向异性波导中的传播。在光束的线性偏振的特殊情况下，该新方程简化为标量非局部非线性Schrödinger方程，并且在无色散状态下，除了直线偏振之外，还可以支持稳定的圆和椭圆偏振紧凑明亮（CB ）具有任意非线性相位的脉冲。更有趣的是，还得出了两周期圆极化CB脉冲的精确解析表达式。我们相信，该结果可为极化CB脉冲之间的相互作用提供有用的见解，即 互动的强度和时间。似乎这种相互作用是由CB光脉冲的两个分量之间的能量交换现象引起的，并且可以通过调整它们的分离距离和两个脉冲的相位差或幅度来抑制这种相互作用。这些分析结果的效率已经通过数值模拟得到了证实。