Time reversal focusing with variable depth and range based on mode extraction

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 mod...