以前向光散射颗粒测试技术中的反演问题为研究对象, 将颗粒粒径分布函数表示为一系列B-spline函数的线性组合以降低反演问题的病态性。模拟计算与实验表明: 采用基函数形式的Tikhonov正则化方法可减少传统Tikhonov正则化反演带来的振荡, 使其更加光顺。

The inverse problem in the forward light scattering particle sizing technique is researched, in which the particle size distribution is expressed as a linear combination of the B-spline functions so as to diminish the ill-condition of the first kind Fredholm integral. Simulated results and experiments show that the Tikhonov regularization with the B-spline functions can reduce the oscillations of the obtained particle size distribution and hence the inverse solution is much smoother than what is achieved by the traditional Tikhonov regularization.