Potential well of cylindrical beam in tube
Consider cylindrical beam in drift tube. Potential decreases from the wall to the center of tube and beam
To run the example:
cd your-ef-dir; cd examples/potential_well; sh run_example.shPoisson equations for this case:
Where phi(r) is potential distribution along r coordinate, |e| charge of particle, n_0 density in the beam.
Boundary conditions:
Where U_0 potential on the wall. In our case U_0 = 0
Solution of the system:
Where k = 4 pi |e| n_0
Results of simulation in comparison with analytical solution.
