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Numerical study of the time-reversal effects on super-resolution in random scattering media and comparison with an analytical model

机译:随机散射介质中超分辨率时间反转影响的数值研究及与解析模型的比较

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The time-reversal effects on super-resolution in random scattering media are analysed using numerical finite-difference time-domain (FDTD) simulations. The analytical solutions and results have been presented previously in the literature, which provide confirmation of spot-size reduction and also explanations of the shower curtain effects and backscattering enhancement. However, the analytical solutions are based on several approximations. Thus, validation of the analytical results against realistic scattering events is necessary. Two-dimensional FDTD Monte Carlo simulations have been employed for this investigation to simulate wave propagation and scattering in a random medium. The scattering environments are created by randomly locating cylindrical rods in the background medium. The simulation process involves a point source emitting a Gaussian pulse wave that propagates through the scattering medium, gets time-reversed, and then back-propagated into the same scattering medium. The focusing behaviours including the location of the focal point and its spot-size as a function of its transverse position are analysed. The shower curtain, particle size, and time domain effects are also investigated. In comparison, the behaviours of focusing derived by numerical results are consistent with those of previously reported analytical results. However, there are some differences, which we speculate to be mainly because of the different phase functions.
机译:使用数值有限差分时域(FDTD)仿真分析了随机散射介质中超分辨率的时间反转效应。分析解决方案和结果已在以前的文献中进行了介绍,这些文献提供了斑点尺寸减小的确认,还提供了淋浴帘效应和反向散射增强的解释。但是,解析解是基于几种近似的。因此,需要针对实际散射事件对分析结果进行验证。二维FDTD蒙特卡罗模拟已用于此研究,以模拟随机介质中的波传播和散射。通过在背景介质中随机放置圆柱棒来创建散射环境。模拟过程涉及一个点源,该点源发出高斯脉冲波,该脉冲在散射介质中传播,经过时间反转,然后反向传播到同一散射介质中。分析了聚焦行为,包括焦点的位置及其光斑大小(取决于其横向位置)。还研究了浴帘,颗粒大小和时域效应。相比之下,数值结果得出的聚焦行为与先前报道的分析结果一致。但是,存在一些差异,我们推测主要是由于相位函数不同。

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