基于扩展Rytov近似的室内射频精确成像
Accurate Indoor Radio Frequency Imaging using a New Extended Rytov Approximation for Lossy Media
摘要：
高相对介电常数和大电尺寸目标的成像是逆散射领域的一个挑战性问题。在这项工作中，我们提出了一个无相位的逆散射方法，可以准确地成像和重建对象，即使这些属性。在这些条件下获得的重建精度以前没有达到，因此可以打开该领域的技术重要的应用，如室内射频（RF）和微波成像。该方法的新颖之处在于，它利用高频近似波通过有损介质，以提供传统的Rytov近似（RA）的校正。我们将这种技术称为低损耗介质的扩展无相Rytov近似（xPRA-LM）。仿真以及实验结果提供了室内RF成像使用无相测量从2.4 GHz的WiFi节点。我们证明，该方法提供了准确的重建对象的相对折射率$15+j1.5$的对象大小大于$20 λ$（$λ$是波长内的对象）。即使在高达$ε_r=77+j 7$的较高相对折射率下，对象形状重建仍保持准确，然而重建幅度较不准确。这些结果以前没有得到过，可以用来实现RF和微波成像在室内RF成像等应用中的潜力。
英文摘要：
Imaging objects with high relative permittivity and large electrical size remains a challenging problem in the field of inverse scattering. In this work we present a phaseless inverse scattering method that can accurately image and reconstruct objects even with these attributes. The reconstruction accuracy obtained under these conditions has not been achieved previously and can therefore open up the area to technologically important applications such as indoor Radio Frequency (RF) and microwave imaging. The novelty of the approach is that it utilizes a high frequency approximation for waves passing through lossy media to provide corrections to the conventional Rytov approximation (RA). We refer to this technique as the Extended Phaseless Rytov Approximation for Low Loss Media (xPRA-LM). Simulation as well as experimental results are provided for indoor RF imaging using phaseless measurements from 2.4 GHz based WiFi nodes. We demonstrate that the approach provides accurate reconstruction of an object up to relative permittivities of $15+j1.5$ for object sizes greater than $20 λ$ ($λ$ is wavelength inside object). Even at higher relative permittivities of up to $ε_r=77+j 7$, object shape reconstruction remains accurate, however the reconstruction amplitude is less accurate. These results have not been obtained before and can be utilized to achieve the potential of RF and microwave imaging in applications such as indoor RF imaging.
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