A FOURIER-SERIES SOLUTION FOR THE RADIATION IMPEDANCE OF A FINITE CYLINDER

A mathematical model for the radiation impedance of a finite cylinder with extended rigid ends is developed using a Fourier series approach. This series approach is shown to be possible by modeling the cylinder as a widely separated periodic replica representation. Radiation impe dance results an obtained for the cylinder operating in uniform, dipol e, and cardioid radial modes of vibration. The cardioid mode is then u sed as a radiation impedance model for the underwater sound slotted cy linder transducer. (C) 1998 Acoustical Society of America. [S0001-4966 (98)02611-3].