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?
 
That will depend on the area density of the electron cloud.

The laser intensity can be relevant as well.