Research on sound wave receiving theory of co-oscillating sphere type vector hydrophone

Sound pressure wave and particle velocity wave receiving theory of co-oscillating sphere type vector hy- drophone has been studied in this paper.Based on measurement principle of particle co-oscillating sphere type velocity hydrophone,the expressions of sound wave receiving response of both unconstrained rigid sphere and unconstrained elastic sphere in an acoustic plane-wave field are derived,and the relationship between the frequency response curves of velocity hydrophone and its geometrical dimension and density.In addition,according to sound wave receiving theory of spherical receiving transducer,the expression of sound pressure receiving response of the vector hydrophone is derived, and the laws of the pressure distribution on the surface of particle velocity hydrophone and relationships between the pressure receiving coefficient of the vector hydrophone and the parameters,such as the dimensions of the receiving sur- face,the radius of the particle velocity hydrophone,the layout position and radius of sound pressure hydrophone,are analyzed and calculated.The analysis method of sound wave receiving theory of vector hydrophone is established,which lay the theoretical foundation for design and development of the vector hydrophone.