フーリエ変換による逆散乱問題の一解法
低濃度散乱体粒径分布の決定
1983 年 52 巻 4 号 p. 354-360
詳細
1983 年 52 巻 4 号 p. 354-360
An inversion technique was developed which detemines the size distribution of tenuous scatterers from the forward scattering pattern. This technique is applicable for 1, 2, and 3 dimensional diffractions and scatterings. It does not require matrix-inversion or presumptive knowledge of functional forms of the size distribution, and it can take advantage of other techniques in spectral analysis such as the Fast Fourier Transform and digital filtering techniques.
The relationship between the sampling of the scattering pattern and the estimated size distribution was clarified both in the frequency and the bandwidth. The convergence and stability in inversion were examined by adding random noise to the scattering patterns. Typical error for 10% noise was within a few % in the estimation of Gaussian distribution using 1024 points FFT. The advantage of this technique over the conventional methods was demonstrated.
