Check that ifft(fft) gives back exactly the function

1
With n-1 0,1,2 . 2NP-2 Which also writes
Check that ifft(fft) gives back exactly the
function
2
The three following graphs show that with 5
harmonics difference is 20 With 7 harmonics
difference is 4 With 11 harmonics difference is
2
3
Difference Ez field at r0 and r 9mm
At r 9mm
On axis
4
Single Particle Dynamics
Single particle dynamics in gun
Gun
focusing
defocusing
defocusing
focusing
5
Single Particle Dynamics
RF effects are non linear RF Kicks are time
dependent so vary along the bunch Are not be
compensated for Very small contribution to
??total 0.1 mm.mrad in our S-Band Gun
Electric field effects
focusing
defocusing
defocusing
Magnetic field effects
focusing