Cylindrically symmetric plasmas and models for.

[hunt_mat]

Hi,

I have currently been thinking about laser-plasma interaction and I have a simple model in mind. I am going to look for a cylindrically symmetric solution of a cylindrically symmetric laser beam (of radius R) hits a initially charge neutral plasma creating an electron beam in the plasma. For the electron beam I am also going to assume that there is only one component of the magnetic field B_theta and 2 components for the electric field, E_r and E_z. I think this will be the most simple model I can write down whilst giving some information about the 2D case (the 1D case has been completed).

Once more assumption which I am not too sure will hold or not (but I think it will) is that the electron beam in the plasma will begin to spread out radially but my assumption will be that it doesn't spread out much and therefore, i can use that idea to reduce the complexity and allow me to linearize the equations, decouple them and solve them.

I have my working in the attached PDF document in section 2 - Perturbation idea.

Your thoughts are appreciated.

 

[AndyW]

Hello,

Thank you for sharing your thoughts on laser-plasma interaction. Your approach seems to be a good starting point for studying this phenomenon. However, I would like to point out a few things that you may want to consider in your model.

Firstly, in a cylindrically symmetric system, it is important to also consider the effects of the laser beam's polarization. This can affect the direction and strength of the electric and magnetic fields and can play a significant role in the dynamics of the plasma-electron interaction. Additionally, in a 2D case, the laser beam may not remain perfectly cylindrically symmetric as it propagates through the plasma, which can also affect the behavior of the system.

Secondly, it is important to consider the non-linear effects that may arise in the plasma due to the strong electric and magnetic fields. These effects can lead to instabilities and turbulence in the plasma, which can significantly alter the behavior of the system. Therefore, it may be necessary to include non-linear terms in your equations to accurately capture the dynamics of the plasma-electron beam interaction.

Lastly, I would suggest validating your model with experimental or numerical data to ensure its accuracy and applicability. This can also help in identifying any additional factors that may need to be included in your model.

Overall, your approach seems to be a good starting point for studying laser-plasma interaction, but it will be important to consider these factors and possibly refine your model as you progress. Good luck with your research!