1. Radiation from omnidirectional sources
1.1 Radiation impedance of the pulsating sphere
Each surface element dS of a pulsating sphere exerts a force df 0 on the fluid (figure 1 ).
As in the case of the membrane vibrating at the end of a tube of constant cross-section (see article § 1.4.2), we are led to define, for the sphere vibrating with an effective velocity v a , a radiation impedance Z R :
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Radiation from omnidirectional sources
Radiation from directional sources
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