This paper is a comprehensive report on the study of shock sound wave （N wave） at home and abroad. Firstly, the development history of N wave research and the present case researched on the theory and experiment, specialy on the N wave source are described. Secondly, the relationship between N wave Length or shock overpressure and propagation distance, the spectrum about N wave, the relationship between shock rising time and overpressure and Nonlinear threshold are pointed. Finally, the application of N wave research on military affairs, exploring mine, detection of defects, Acoustics and medical science are introduced.
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