Ffowcs-Williams and Hall were the first to solve the problem of noise radiated from the turbulent flow past a semi-infinite plate of zero thickness at zero angle of attack using this analogy.

• Ffowcs Williams和Hall是第一个研究湍流流过零厚度，零攻角半无限长平板的噪声辐射问题的科学家。 他们仍然是以Lightill声类比方法为理论基础，得出了远场噪声强度与湍流特征速度是五次方的关系。