Space charge and instabilities

1 - Space charge force

 

2 - Effects of space charge in circular accelerators

 

3 - Wake fields and coupling impedances

 

4 - Effects of wake fields in linear accelerator: the Beam Break Up example

 

5 - Brief remarks on effects of wake fields in circular accelerators.  

 

Prerequisites:

1- maths: differential equations and Fourier transform.

2- mechanics: free and driven oscillators.

3- basic electromagnetism and boundary conditions.