论文标题
霍普菲尔德般的开放式通道检索,用于无序的光学媒体
Hopfield-like open channel retrieval for disordered optical media
论文作者
论文摘要
光学传输矩阵(TM)的测量使得“开放通道”:输入模式,特定于每个散射结构,能够提供非常高的传输。各种方法,基于多个干涉测量值或对事件波前的系统随机测试,可以估算激发这些开放通道所需的输入。在这里,我们首次提供了一种方法,可实现开放渠道的完整和无参考的检索。它基于从所有输入模式夫妇产生的所有成对干扰项的完整映射。我们表明,这些干扰术语被组织成双yadic耦合矩阵,其特征值可以访问开放通道。因此,无序的光学系统的行为完全像霍普赛神经网络,其中特定的输入向量(神经元的耦合矩阵的特征值)使得能够检索特定的记忆模式。拟议中的霍普菲尔德(Hopfield)如开放通道 - 返回方法,使强度的理论上预期价值达到了几乎100 $ \%$。此外,采用数字微龙装置来调节光线,我们在无序介质的背面展示了高速激光扫描。
The measurement of the optical Transmission Matrix (TM) enables to access "open channels": input patterns, specific to each scattering structure, capable to deliver very high transmission. Various approaches, based either on multiple interferometric measurements or on systematic random testing of incident wavefronts, enable to estimate the inputs required to excite these open channels. Here, we provide for the first time an approach enabling the complete and reference-less retrieval of the open channels. It is based on the full mapping all the pairwise interference terms resulting from all the input modes couples. We show that these interference terms are organized into a bi-dyadic coupling matrix whose eigenvalues enables to access the open channel. A disordered optical system, is thus behaving exactly like an Hopfield neural network, where a specific input vector (an eigenvalue of the neurons' coupling matrix) enables to retrieve a specific memory pattern. The proposed Hopfield like open-channel-retrieval approach, enables to reach almost 100$\%$ of the theoretically expected value of the Intensity. Moreover employing a digital micromirror device to modulate light, we demonstrate high speed laser scanning at the back of a disordered medium.