Acquista C
Appl Opt. 1976 Nov 1;15(11):2932-6. doi: 10.1364/AO.15.002932.
We consider scattering by arbitrarily shaped particles that satisfy two conditions: (1) that the polarizability of the particle relative to the ambient medium be small compared to 1 and (2) that the phase shift introduced by the particle be less than 2. We solve the integro-differential equation proposed by Shifrin by using the method of successive iterations and then applying a Fourier transform. For the second iteration, results are presented that accurately describe scattering by a broad class of particles. The phase function and other elements of the scattering matrix are shown to be in excellent agreement with Mie theory for spherical scatterers.
（1）粒子相对于周围介质的极化率远小于1；（2）粒子引入的相移小于2。我们通过逐次迭代法求解希夫林提出的积分 - 微分方程，然后进行傅里叶变换。对于第二次迭代，给出的结果准确地描述了一大类粒子的散射情况。对于球形散射体，散射矩阵的相函数和其他元素与米氏理论显示出极好的一致性。
