Reflection of a spherical sound wave by an infinite elastic plate

Abstract

In this paper, the reflection of a spherical sound wave by an infinite elastic plate is theoretically investigated. A far-field expression of the reflected field including the effects of the plate's elastic vibration is analytically derived in an explicit closed form. The energy ratio of the reflected sound wave by an infinite elastic plate to that by an infinite rigid plate is defined. It is shown that the ratio takes the same form as the energy reflection coefficient of an infinite elastic plate which has been derived for plane wave incidence by the authors. Thus, it is found that the effects of the plate's properties and the specific acoustic admittance of the plate surface appear in the same manner as seen in the case of plane wave incidence. Some numerical examples are shown, and the main features of the reflected sound field are discussed. © 1995, Acoustical Society of Japan. All rights reserved.