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.

中文翻译：

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圆柱挡板上有限声源的逆傅里叶压力积分计算

对于放置在无限圆柱挡板上的各种类型的有限声源，圆柱坐标中的压力解可以由包含 Hankel 函数的奇异商的无限系列傅里叶反积分给出。引入了一种混合方法来解析这些积分的奇异性，并以可预测的误差截断它们的无限积分范围。讨论并确定要考虑的重要条款的最大数量。获得了范围广泛的无量纲频率值（[公式：见文本]–100）和圆柱形挡板半径范围为 3 到 100 的观察点距离的结果。作为一个应用，无限圆柱挡板的挡板衍射步是针对均匀振动活塞的轴上压力进行评估的。