Oberai Assad A, Feijóo Gonzalo R, Barbone Paul E
Mechanical Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, New York 12180, USA.
J Acoust Soc Am. 2009 Feb;125(2):EL70. doi: 10.1121/1.3056662.
A new iterative time-reversal algorithm capable of identifying and focusing on multiple scatterers in a relatively small number of iterations is developed. It is recognized that the traditional iterated time-reversal method is based on utilizing power iterations to determine the dominant eigenpairs of the time-reversal operator. The convergence properties of these iterations are known to be suboptimal. Motivated by this, a new method based on Lanczos iterations is developed. In several illustrative examples it is demonstrated that for the same number of transmitted and received signals, the Lanczos iterations based approach is substantially more accurate.
开发了一种新的迭代时间反转算法，该算法能够在相对较少的迭代次数内识别并聚焦于多个散射体。人们认识到，传统的迭代时间反转方法是基于利用幂迭代来确定时间反转算子的主导特征对。已知这些迭代的收敛特性不是最优的。受此启发，开发了一种基于兰乔斯迭代的新方法。在几个示例中表明，对于相同数量的发射和接收信号，基于兰乔斯迭代的方法要精确得多。
