复杂系统往返传输中的互易诱导对称性
Reciprocity-induced symmetry in the round-trip transmission through complex systems
摘要：
互易性是波动物理学的一个基本原理，直接关系到交换输入和输出时通过系统传输的对称性。相干传输矩阵是描述波在一般介质中传输特性的一种简便方法。在这里，我们证明了复杂介质的光学互易性质，通过探索他们的TM属性。我们测量了相位校正TM的前向和往返传播通过一个循环的1米长的阶跃折射率多模光纤（MMF），以实验验证前向和后向传输之间的转置关系。这种对称性阻碍了直接从往返TM的近端测量进行MMF校准。此外，我们展示了如何通过数字光学相位共轭的MMF聚焦受到系统损耗的影响，因为时间可逆性依赖于功率守恒。这些见解可以通过复杂介质和光子系统中波的相干控制来开发新的成像技术。
英文摘要：
Reciprocity is a fundamental principle of wave physics and directly relates to the symmetry in the transmission through a system when interchanging the input and output. The coherent transmission matrix (TM) is a convenient method to characterize wave transmission through general media. Here we demonstrate the optical reciprocal nature of complex media by exploring their TM properties. We measured phase-corrected TMs of forward and round-trip propagation through a looped 1m-long step-index optical multimode fiber (MMF) to experimentally verify a transpose relationship between forward and backward transmission. This symmetry impedes straightforward MMF calibration from proximal measurements of the round-trip TM. Furthermore, we show how focusing through the MMF with digital optical phase conjugation is compromised by system loss, since time reversibility relies on power conservation. These insights may inform development of new imaging techniques through complex media and coherent control of waves in photonic systems.
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