The traditional passive Sonar detection range refers to the maximum distance of the passive sonar when the detection probability achieves 50%. However, in the practical application of sonar or the tactical decision process, the different detection probability should be considered to ensure the effective completion of the specific mission task and the operational command. In order to predict the detection range of passive sonar in different detection probability, the sonar equation is used as the logical basis. The receiver-operating-characteristic curve is calculated by theoretically assuming the background and background-plus-signals pressure samples distribution of the receiver, and the underwater acoustic channel transmission characteristic curves are given in combination with a specific marine environment. Then, the influence of the passive sonar detection range under the typical detection probability is obtained. The study provides quantitative information for the tactical decision-making of ship commanders and provides theoretical support for the effective use of sonar equipment.
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