Center for Advanced Diffusion-Wave Technologies (CADIFT), Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Ontario, Canada.
Phys Rev Lett. 2011 Oct 14;107(16):165901. doi: 10.1103/PhysRevLett.107.165901. Epub 2011 Oct 10.
Energy transport in diffusion-wave fields is gradient-driven and therefore diffuse, yielding depth-integrated responses with poor axial resolution. Using matched-filter principles, we propose a methodology enabling these parabolic diffusion-wave energy fields to exhibit energy localization akin to propagating hyperbolic wave fields. This not only improves axial resolution but also allows for deconvolution of individual responses of superposed axially discrete sources, opening a new field of depth-resolved subsurface thermal coherence tomography using diffusion waves.
扩散波场中的能量传输是梯度驱动的，因此是扩散的，产生深度积分响应，轴向分辨率较差。利用匹配滤波器原理，我们提出了一种方法，使这些抛物线扩散波能量场表现出类似于传播双曲波场的能量局域化。这不仅提高了轴向分辨率，还允许对轴向离散源的叠加的单个响应进行反卷积，为使用扩散波的深度分辨地下热相干层析成像开辟了一个新领域。
