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Your task is to detect a submarine with your active sonar. The submarine canhear your active sonar before you can detect him. If the submarine is fastenough he can evade you before you can detect him. How do you then detect him?If you are using your active sonar continuously you will not detect him.Likewise, if you are not using your sonar at all. In between those two extremesthere is an optimum. We will find that optimum. Or said more precisely andgeneral: In the same two dimensional region two platforms are present. Oneplatform, the searcher, equipped with one active sensor (sonar, radar, lidaretc.), is trying to detect the other platform, the target, by means of itsactive sensor. The target tries to avoid detection using only a passive sensorto detect the searcher. The target can detect the active sensor before thesearcher can detect the target (forestalling). The active sensor is thereforeused intermittently to surprise the target. The aim of this study is toquantify the passive period of the active sensor by minimizing missed detectionopportunities. The active period is subsequently found by maximizing theaverage detection width of the searcher sensor over time.

The passive and active periods for the intermittent use of an active sensor to detect an evasive target