Abstract

For various types of finite acoustic sources placed on an infinite cylindrical baffle, the pressure solution in cylindrical coordinates can be given by an infinite series of Inverse Fourier Integrals involving a singular quotient of Hankel functions. A hybrid method is introduced addressing these integrals’ singularity analytically and truncating their infinite integration range with predictable error. Maximum number of significant terms to be taken into account is discussed and determined. Results are obtained for a wide range of dimensionless frequency values ([Formula: see text]–100) and observation point distances ranging from 3 to 100 radii of the cylindrical baffle. As an application, the baffle diffraction step of the infinite cylindrical baffle is evaluated for the on-axis pressure of a uniformly-vibrating piston.

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