Research of the Scattering of Non-Linearly Interacting Plane Acoustic Waves by an Elongated Spheroid

Abstract

For the first time the problem of acoustic wave scattering on elongated spheroids was stated in works [Cpence & Ganger, 1951], [Burke, 1966], [Kleshchyov & Sheiba, 1970]. Work [Cpence & Ganger, 1951] considers the problem of sound scattering on a elongated spheroid with various boundary conditions. Work [Burke, 1966] considers the problem of sound scattering on a rigid spheroid in the long-wave approximation. Work [Kleshchyov & Sheiba, 1970] considers the problems of sound wave scattering on a elongated spheroid where angular characteristics for sound wave scattering on a soft and rigid elongated spheroid were found. The studies of acoustic field of spheroidal radiators were considered in works [Chertock, 1961], [Andebura, 1969], where acoustic field, radiation impedance of arbitrary elongated spheroid were defined. Work [Andebura, 1976] considers integral characteristics of the interaction between spheroid and incident sound wave with different spheroid orientations relating to propagation direction of incident wave. The diffraction problem of plane sound wave on elongated rigid revolution bodies within the field of small values of wave rate is considered in work [Fedoryuk, 1981], where scattering amplitude asymptotics are found. Work [Tetyuchin & Fedoryuk, 1989] describe plane sound wave diffraction on a elongated rigid revolution body in liquid, give calculation scattering diagrams on a steel and aluminium spheroid with lateral incidence of a plane wave. Work [Boiko, 1983] considers the case of plane wave scattering on a thin revolution body that differs from medium with its contractiveness and density. The principal term of evanescent field asymptotics was found, angular characteristics for plane wave scattering by rigid elongated spheroid in geometrical scattering field were given. The questions of sound scattering by gas-filled spheroidal fish-maw are considered in works [Haslett, 1962], [Babailov & Kanevskyi, 1988]. A fish-maw is given as a elongated soft spheroid, frequency-angle characteristics of inverse scattering are given as well as resonance characteristic spheroidal maw. In recent decades a number of works devoted to sound scattering on spheroids were published by Kleshchyov А.А. [Kleshchyov, 1986; 1992; 2004]. These works are devoted to studies of sound scattering on fish and fish flock maws near surface and bottom. A gas maw