Subject: Why is reflection independent of the wavelength ?

Besides dispersion, light reflection at the interface between two different 
media with different refractive indices is known to be independent of the 
wavelength, i.e. white light is reflected as white light.
However an abrupt change in the refractive index and thus an abrupt change in 
the amount of scattering sources at the interface should cause some wavelength 
dependent Rayleigh scattering at the interface.
In the book "Optics" by E. Hecht this wavelength independence is explained by 
the fact that Rayleigh scattering, i.e. stronger scattering at shorter 
wavelengths, is compensated by a shorter penetration depth for shorter 
wavelengths and thus a smaller scattering volume at the interface. But Rayleigh 
scattering is inverse proportinal to the fourth power of the wavelength while 
the scattering volume varies only linearly with the wavelength. So it is not 
clear to me why these two effects should ever compensate each other. Is there a 
better explanation of why reflection, which is obviously caused by a sudden 
change in the amount of scattering sources, does not depend more on the 
wavelength ?

Re: Why is reflection independent of the wavelength ?