标题： 将扩散场与虚拟波联系起来作为它们的传播对偶 显示英文标题

标题： Linking diffusive fields to virtual waves as their propagative duals

摘要： 在无损和生物医学成像中，样品内部的空间模式在不破坏样品的情况下被成像。 因此，传播的波，包括电磁或超声信号，甚至扩散的热量，都会由这些内部模式产生或改变，并将这种结构信息传输到样品表面。 在那里，可以检测到这些信号，并从测量的信号中重建出内部结构的图像。 从样品表面上检测到的信号中可以获得的样品内部信息量显著受到从内部结构到表面的传播影响。 在现实世界中，所有信号传播或多或少都是不可逆的。 传播过程中产生的熵对应于信息的损失。 在一个理想化的模型中，这些传播的波被称为虚拟波，由波动方程描述。 当时间方向反转时，它们仍然是该方程的有效解，因此表现出可逆性，并且在传播过程中没有熵的产生，因此没有信息损失。 我们使用从测量的扩散表面信号中局部计算得到的虚拟波，利用超声或雷达成像中已建立的飞行时间方法进行图像重建。 这提高了热成像的空间分辨率，并补偿了原子探针断层扫描中量子波包的色散。 显示英文摘要

摘要： In non-destructive and biomedical imaging, spatial patterns inside a sample are imaged without destroying it. Therefore, propagating waves, including electromagnetic or ultrasonic signals, or even diffuse heat are generated or modified by these internal patterns and transmit this structural information to the sample surface. There, the signals can be detected, and an image of the internal structure can be reconstructed from the measured signals. The amount of information about the interior of the sample that can be obtained from the detected signals at the sample surface is significantly influenced by the propagation from the internal structure to the surface. In the real world, all signal propagation is more or less irreversible. The entropy generated during propagation corresponds to the loss of information. In an idealized model, such propagating waves, called virtual waves, are described by the wave equation. They remain valid solutions of this equation when the direction of time is reversed, thus exhibiting reversibility and showing no entropy production and therefore no loss of information during propagation. We have used the locally computed virtual waves from the measured diffusive surface signals for image reconstruction using established time-of-flight methods from ultrasound or RADAR imaging. This improves the spatial resolution in thermography and compensates for the dispersion of quantum wave packets in atom probe tomography.