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Limits of Spatial Resolution for Thermography and Other Non-destructive Imaging Methods Based on Diffusion Waves
International Journal of Thermophysics ( IF 2.2 ) Pub Date : 2013-09-01 , DOI: 10.1007/s10765-013-1513-0
Peter Burgholzer 1 , Günther Hendorfer 2
Affiliation  

In non-destructive imaging the information about the spatial pattern of a samples interior has to be transferred to the sample surface by certain waves, e.g. ultrasound or electromagnetic waves. At the sample surface these waves can be detected and the interior structure is reconstructed from the measured signals. The amount of information about the interior of the sample, which can be gained from the detected waves on the sample surface, is essentially influenced by the propagation from its excitation to the surface. Scattering, dissipation, or diffusion causes entropy production and a loss of information for the propagating waves, and therefore results in a loss of resolution for imaging the interior structure. There have been made several attempts to compensate these diffusive or dissipative effects to get a higher resolution for the reconstructed images of the samples interior. In this work it is shown that thermodynamical fluctuations limit this compensation and therefore also the spatial resolution for non-destructive imaging at a certain depth is limited. We describe one example for diffusion and another one for dissipation and the loss of information is modeled by stochastic processes. For both examples the thermodynamic entropy production is equal to the loss of information, which results in a theoretical limit for the achievable spatial resolution in the reconstructed image.

中文翻译:

基于扩散波的热成像和其他无损成像方法的空间分辨率限制

在非破坏性成像中,有关样品内部空间模式的信息必须通过某些波(例如超声波或电磁波)传输到样品表面。在样品表面,可以检测到这些波,并根据测量信号重建内部结构。可以从样品表面上检测到的波中获得的关于样品内部的信息量主要受从其激发到表面的传播的影响。散射、耗散或扩散会导致熵产生和传播波的信息丢失,因此导致内部结构成像的分辨率损失。已经进行了多次尝试来补偿这些漫射或耗散效应,以获得更高的样本内部重建图像的分辨率。在这项工作中,表明热力学波动限制了这种补偿,因此在一定深度的非破坏性成像的空间分辨率也受到限制。我们描述了一个扩散的例子和另一个耗散的例子,信息的损失是通过随机过程建模的。对于这两个示例,热力学熵的产生等于信息的损失,这导致重构图像中可实现的空间分辨率的理论限制。在这项工作中,表明热力学波动限制了这种补偿,因此在一定深度的非破坏性成像的空间分辨率也受到限制。我们描述了一个扩散的例子和另一个耗散的例子,信息的损失是通过随机过程建模的。对于这两个示例,热力学熵的产生等于信息的损失,这导致重构图像中可实现的空间分辨率的理论限制。在这项工作中,表明热力学波动限制了这种补偿,因此在一定深度的非破坏性成像的空间分辨率也受到限制。我们描述了一个扩散的例子和另一个耗散的例子,信息的损失是通过随机过程建模的。对于这两个示例,热力学熵的产生等于信息的损失,这导致重构图像中可实现的空间分辨率的理论限制。
更新日期:2013-09-01
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