Ponderomotive force and conservation of momentum

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SUMMARY

The discussion centers on the concept of ponderomotive force, specifically how a charged particle in an inhomogeneous, oscillating electric field is accelerated towards regions of weaker field strength. When a charged particle is placed off-center in a laser beam, it experiences this force, resulting in a shift away from the beam's center. This interaction is governed by a momentum conservation principle analogous to Poynting's theorem, indicating that as the particle's momentum changes, the electromagnetic field's momentum adjusts in the opposite direction.

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Philip Koeck
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According to https://en.wikipedia.org/wiki/Ponderomotive_force a charge in an inhomogeneous, oscillating electric field will be accelerated in the direction where the field gets weaker.

One could think of a charged particle placed slightly off-center inside a laser beam.
If I read the Wikipedia page correctly this particle should be accelerated away from the center of the beam.

What would happen to the laser beam during this process?
 
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There is a theorem like Poynting’s theorem, but for momentum. As the momentum of the particle changes, the momentum of the EM field changes in the equal and opposite direction.
 
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