How Does a High-Intensity Laser Interact with an Electron Cloud?

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God Plays Dice
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A high intensity continuous wave laser passes through an electron cloud. Please discuss what would happen and in relative amounts.

Thanks
 
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I think your conditions are going to need to be more specific if you want any meaningful discussion.
 
If the frequency is in the visible I think Thomson scattering would occur, but by how much? Does all of the energy of the incoming wave get absorbed and re emitted by the electron ie Thomson scattered?