The electromagnetic scattering properties of spheroidal aerosols are investigated. The numerical values of the scattering intensity under arbitrary shaped beam illumination of aerosols are evaluated by using a generalized Lorenz-Mie theory. The distribution of the scattering intensity is given as the function of the position of the laser beam waist. The dependence of rainbow intensity and scattering angle on ellipticity of the spheroidal aerosols is analyzed and a shift of the main peak with the increase of ratio a/b is observed. The calculation shows that in the falling process of the raindrop, the scattering intensity of all directions decreases gradually, in other words, the scattering intensity decreases and the rainbow angle expands with the rise of ellipticity of the raindrop. In the case of laser incidence, the farther of the aerosol is from the laser beam center, the weaker the scattering intensity is. With the scale parameter increasing, the oscillating frequency of the back scattering is larger than that of the forward scattering, and both of them decrease with the increase of the radius vector magnitude of the laser beam waist.