The Ponderomotive Energy equation is given by,
In terms of the laser intensity , using , it reads less simply . Now, atomic units provide , , where . Thus, .
The formula for the ponderomotive energy can be easily derived. A free electron of charge interacts with an electric field . The force on the electron is
The acceleration of the electron is
Because the electron executes harmonic motion, the electron's position is
For a particle experiencing harmonic motion, the time-averaged energy is
In laser physics, this is called the ponderomotive energy .
Converting between SI units and atomic units is more subtle than the introduction suggests. As presented, the Ponderomotive energy in atomic units appears to have some issues. If one uses the atomic unit of electric field, then the ponderomotive energy is just
References and notes
- Highly Excited Atoms. By J. P. Connerade. p339
- CODATA Value: atomic unit of electric field
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