The propagation of light transmitting through a scattering medium generates random speckle. Transmission matrix (TM) is introduced to describe this transmission process. In general, only scalar TM is considered. Meanwhile, for a non-polarization maintaining multimode fiber (MMF), depolarization effect is extremely strong. Therefore, the field at the exit end of a MMF is a speckle with random distribution not only in terms of intensity but also polarization. In addition to traditional TM, we propose polarization TM (PTM) to describe the depolarization effect of a MMF. Based on PTM, the speckle pattern formed by a coherent light transmitting through a MMF can be modulated into one focal spot or multiple focal spots with desired polarization.

中文翻译：

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多模光纤散斑场焦斑完全偏振控制的偏振传输矩阵

通过散射介质传播的光会产生随机散斑。引入传输矩阵（TM）来描述这个传输过程。一般来说，只考虑标量 TM。同时，对于非保偏多模光纤（MMF）来说，去偏振效应极强。因此，MMF 出射端的场是一个散斑，不仅在强度方面而且在偏振方面都是随机分布的。除了传统的 TM，我们还提出了极化 TM (PTM) 来描述 MMF 的去极化效应。基于 PTM，相干光通过 MMF 形成的散斑图案可以调制成一个或多个具有所需偏振的焦点。