Research on sound wave receiving theory of inertial sphere type vector hydrophone

Sound pressure wave and particle velocity wave of the receiving theory of inertial sphere type vector hydrophone was studied.Based on measurement principle of particle velocity hydrophone with co-oscillating sphere,the mathematical expressions of sound wave receiving response to both rigid sphere and elastic sphere in a freely moving acoustic plane-wave field were derived,and the relationship between the frequency response curves of velocity hydrophone and its geometrical dimension and density was analyzed.In addition,according to sound wave receiving theory of spherical receiving transducer,the mathematical expression of the vector hydrophone's sound pressure receiving response was 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 surface,the radius of the particle velocity hydrophone,the layout position and radius of sound pressure hydrophone,were analyzed and calculated.The analysis method of sound wave receiving theory of vector hydrophone was established,which lays the theoretical foundation for design and development of the vector hydrophone.