A scheme for controlling the polarization of a light wave via its interaction with an auxiliary beam in a non-linear optical medium is proposed. We first present the linear theory of polarization-dependent wave-mixing, where the "probe" beam, whose polarization is to be manipulated, is less intense than the auxiliary beam. Then we show that a simple geometrical arrangement, where the auxiliary and probe are crossing at 90and the auxiliary is linearly $s$-polarized (orthogonal to the plane of incidence), enables to control the probe’s polarization even when its intensity exceeds the auxiliary’s. These schemes are of particular interest when the non-linear optical medium is a plasma, as it might enable dynamic polarization manipulations at ultrafast time scales and far beyond the optics damage threshold of crystal-based photonics devices.

中文翻译：

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非线性介质中两波混合的偏振相关理论及其在动态偏振控制中的应用

提出了一种在非线性光学介质中通过与辅助光束的相互作用来控制光的偏振的方案。我们首先介绍偏振相关波混合的线性理论，其中要操纵其偏振的“探测”束的强度小于辅助束的强度。然后，我们展示了一个简单的几何排列，其中辅助和探针在90度处相交并且辅助呈线性$s$极化（垂直于入射平面），即使其强度超过辅助电极的强度也可以控制探针的极化。当非线性光学介质是等离子体时，这些方案特别受关注，因为它可以实现超快时间尺度的动态偏振操作，并且远远超出了基于晶体的光子学器件的光学损伤阈值。