Radiation and Directivity Analysis of a Vibrating Dome-Shaped Radiator Mounted on an Infinite Baffle

Accurate modeling and analysis of a radiator mounted on an infinite baffle are crucial for understanding its acoustic radiation characteristics. This paper investigates the radiation behavior of a convex dome-shaped radiator in such a condition, showing that, under the far-field approximation, the pressure field is the three-dimensional Fourier transform of the axisymmetric surface velocity distribution. The study includes a comparison of various typical velocity distributions in terms of their directivity factor (DF) and radiated sound power. Current velocity distributions often suffer from nulls in the DF, so we provide a detailed analysis to uncover the causes of this issue. To address this, we propose an equalization filter designed to smooth the DF across the entire frequency range. Simulations are performed to validate the theoretical findings and to showcase the improved performance of the proposed approach.