Dave J V
Appl Opt. 1969 Jan 1;8(1):155-64. doi: 10.1364/AO.8.000155.
The intensity and the degree of polarization of the radiation scattered by a large sphere were computed using the Mie theory at sufficiently small interval of the scattering angle for obtaining a complete picture of all the characteristics of the field of the scattered radiation. The results are presented for four different sizes of the water sphere (radius = 6.25 micro, 12.5 ;micro, 25.0 micro, and 50.0 micro) assumed to be illuminated by an unpolarized beam of monochromatic radiation with wavelength 0.4 micro. A detailed comparison is then made between the results obtained using the exact Mie theory and those obtained using an approximate approach based on the application of the other laws of the geometrical and physical optics. The angular positions of the primary and secondary rainbows, as well as those of their supernumerary bows as obtained using the approximate method, agree with those obtained from the Mie theory only if the size parameter of the sphere is of the order of 800. Besides the phenomenon of glory which is not amenable to explanation in terms of the geometrical and physical optics, the Mie computations bring out several distinct maxima and minima whose occurrence cannot be explained in likewise manner.
利用米氏理论，在足够小的散射角间隔下计算大球体散射辐射的强度和偏振度，以便全面了解散射辐射场的所有特性。给出了假设由波长为0.4微米的非偏振单色辐射束照射的四种不同尺寸水球（半径分别为6.25微米、12.5微米、25.0微米和50.0微米）的计算结果。然后，对使用精确米氏理论得到的结果与使用基于几何光学和物理光学其他定律的近似方法得到的结果进行了详细比较。仅当球体的尺寸参数约为800时，使用近似方法得到的主虹和副虹以及它们的附属虹的角位置才与从米氏理论得到的结果一致。除了用几何光学和物理光学无法解释的光晕现象外，米氏计算还得出了几个明显的最大值和最小值，其出现同样无法用这种方式解释。
