Analysis of the Effect of Reflected Wave from Sonar Dome on Radiation Impedance for Cylindrical Array

Radiation impedance is one of the very important factors in designing an underwater sonar system. In such a system, transducer array is surrounded by a dome to protect its elements from the underwater environment. In such a case, the effect of a reflected wave on radiation impedance cannot be ignored. To analyze the effect in a cylindrical array, a simplified model was introduced and radiation impedance was calculated by considering the following variables: the separation distance from the reflector ( z ), the interval between elements ( d ), wave number and element size ( k a ), and reflection coefficient (Γ). It is clarified that the effect of a reflected wave increases with k a and Γ, with decreasing z and d .