Modification to first-order Born approximation for improved prediction of scattered sound from weakly scattering objects

作者：Zhang Peizhen; Wang Shuozhong^*; Wang Runtian; Chen Yunfei; Wang Luxian

来源：Acta Acustica, 2014, 39(3): 331-338.

• First-order Born approximation
• Fourier diffraction theorems
• Modified born approximations
• Numerical calculation
• Rigorous solution
• Scattering objects
• Sound scattering
• Substantial errors

When deriving the Fourier diffraction theorem based on the first-order Born approximation, the difference between wave number of the scattering object and that of the surrounding medium is ignored, causing substantial errors in sound scattering prediction. This paper modifies the Born approximation by taking into account the amplitude and phase changes at the interface between the scattering object and the water due to the wave number difference. By changing the radius and center position of the sampling circle in the Fourier domain, accuracy of the predicted sound scattering is improved. With the modified Born approximation, the computed far-field directional pattern of the scattered sound from a circular cylinder is in good agreement with the rigorous solution. Numerical calculations for several objects with different shapes are used to show applicability and effectiveness of the proposed method.

• 出版日期2014
• 单位上海大学