Xu Yuan, Wang Lihong V
Optical Imaging Laboratory, Department of Biomedical Engineering, Texas A&M University, 3120 TAMU, College Station, Texas 77843-3120, USA.
Phys Rev Lett. 2004 Jan 23;92(3):033902. doi: 10.1103/PhysRevLett.92.033902.
An exact time-domain method is proposed to time reverse a transient scalar wave using only the field measured on an arbitrary closed surface enclosing the initial source. Under certain conditions, a time-reversed field can be approximated by retransmitting the measured signals in a reversed temporal order. Exact reconstruction for three-dimensional broadband diffraction tomography (a linearized inverse scattering problem) is proposed by time-reversing the measured field back to the time when each secondary source is excited. The algorithm is verified by a numerical simulation. Extension to the case using Green's function in a heterogeneous medium is discussed.
提出了一种精确的时域方法，仅利用在包围初始源的任意封闭曲面上测得的场对瞬态标量波进行时间反转。在某些条件下，通过以相反的时间顺序重新传输测量信号，可以近似得到时间反转场。通过将测量场时间反转回每个二次源被激发的时刻，提出了三维宽带衍射层析成像（一个线性化的逆散射问题）的精确重建方法。该算法通过数值模拟得到了验证。讨论了将其扩展到在非均匀介质中使用格林函数的情况。
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