Hello I was watching an introductory video to two-photon microscopy and came across the concepts of Rayleigh scattering and absorption. As I did not understand these concepts entirely, I would greatly appreciate if you could help me out.

Raileigh scattering

Apparently, it is possible for a photon to get deflected or scattered when it runs into something (i.e. a molecule) that is significantly smaller than its wavelength. Rayleigh scattering in particular indicates that the perceived/relative light intensity after scattering is proportional to 1/lambda^(4). This means that the smaller the wavelength, (or the higher the frequency of light), the more scattering takes place. And conversely, the greater the wavelength, the smaller the scattering, which explains why in two-photon microscopy a laser in the red and near-infrared region is used to image biological samples as opposed to blue/short wavelength light.  My question is: why is this? Why can a photon be deflected or scattered by something that is smaller than its wavelength?Does it have to do with the fact that its high frequency makes it more likely to hit molecules?

Absorption

Apparently, light absorption by biological molecules is high in the visible light region, but becomes lower in the region of the red and even lower in the infrared region. So the region in the far red and the near infrared (650-1300 nm) constitutes a good region of wavelengths that can be used for imaging biological samples with a two-photon microscope. 

Why do biological (macro) molecules such as hemoglobin and melanin as well as other molecules tend to absorb light in the region of visible light? Why is red and near infrared light not absorbed by biological molecules?

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