中文摘要：

为时间颠倒基于模式抽取与可变深度和范围集中的一个方法被建议。首先，浅水里的声学的繁殖的正常模式被形式的分解从一个来源接收装置数组收到的探查信号提取。而且，深度和探查来源的范围独立决定的一个斜矩阵和向量从收到的声学的地数据被提取。并且集中在不同深度和范围的时间颠倒能被 modulating 完成深度依赖者对角线矩阵和范围依赖者向量适当地。然后，斜矩阵和向量根据深度和期望的焦点的地点的范围独立被调制构造新声学的地向量。当这新声学的域向量被来源接收装置重新发送时，及时穿颠倒顺序(或在频率领域的阶段变化形式) ，在期望的地点而非探查来源的起源结果集中声学的地能被获得。在典型的浅水环境的数字模拟表明建议方法的有效性。

英文摘要：

A method for time reversal focusing with variable depth and range based on mode extraction was proposed.First,the normal modes of acoustic propagation in the shallow water are extracted by modal decomposition from the probe signals received by a source receiver array.Furthermore,a diagonal matrix and a vector determined separately by the depth and the range of the probe source are extracted from the received acoustic field data.And time reversal focusing at different depths and ranges can be achieved by modulating the depth-dependent diagonal matrix and the range-dependent vector properly.Then the diagonal matrix and the vector are modulated separately according to the depth and the range of the expected focal location to construct a new acoustic field vector.When this new acoustic field vector is retransmitted by the source receiver array in time reversal order（or phase conjugation in frequency domain）,focusing of the resulting acoustic field at the expected location rather than the origin of the probe source can be obtained.Numerical simulations in typical shallow water environment demonstrate the effectiveness of the proposed method.