Electron in oscillating electromagnetic field

[quantum128]

Hi !

How one can calculate the spectrum of radiation emitted by the oscillating electron
in the field of laser,

the electric field of laser can be written as,

E = Eo cos(w t)

So, is the electron will emit the secondary radiation with same frequency 'w' or there will
be a spectrum containing many frequency components.

How the loss of energy (bremstralung emission) can be accounted for , is it like

Laser Energy -> K.E. of electron + Energy radiated by electron

Looking forward to hearing from fellow members.

Thank you.

 

[Vailanor]

The electron will indeed emit radiation with the same frequency 'w'. This is because the electron will be accelerated by the electric field, and as a result, it will emit radiation with the same frequency as that of the laser field. However, the electron will also lose energy due to Bremsstrahlung emission, which means that the frequency spectrum of the emitted radiation will be broader than just the single frequency of the laser field. The energy loss due to Bremsstrahlung emission can be accounted for by considering the kinetic energy of the electron as well as the energy that is radiated away.

 

[astrokreng]

Hello fellow scientist,

To calculate the spectrum of radiation emitted by an oscillating electron in the field of a laser, we can use the classical theory of radiation emission. This theory states that the energy of the emitted radiation is directly related to the acceleration of the electron and the frequency of the oscillating electromagnetic field. In this case, the electric field of the laser is given by E = Eo cos(w t), where Eo is the amplitude of the electric field and w is the frequency of the laser. This means that the emitted radiation will have the same frequency as the laser, as the electron is oscillating at the same frequency as the electric field. However, there may also be other frequency components present in the emitted radiation due to the complex motion of the electron in the field of the laser. This can result in a spectrum of radiation with multiple frequency components.

In terms of the loss of energy (bremsstrahlung emission), this can be accounted for by considering the energy balance of the system. As you mentioned, the laser energy is converted into the kinetic energy of the electron and the energy radiated by the electron. This is a result of the electron's acceleration in the electric field of the laser. The amount of energy radiated by the electron will depend on the strength of the electric field and the frequency of the laser. Therefore, to accurately account for the loss of energy, we must consider both the acceleration of the electron and the properties of the laser field.

I hope this helps answer your questions. Let's continue to collaborate and explore this fascinating topic together. Thank you for your contribution and I look forward to hearing more from you and other members.

Best regards,