Propagation of charged particle inside a set of magnets

[Alkass]

Hi

I am trying to find the equations of a charged particle inside a dipole & quadripole. Practically, I need to write a simulation program for it which assumes a beam passing through a dipole-quadripole-dipole which are setting around an arc. Is there some recommended literature ? Of course, I am not just interested into the classical relation of calculating the radius of the bended particle, rather than the px,py, exiting_angle etc-. For instance, I found in some outdated code, that costheta = q/sqrt(px*px+1) but could not find how to derive this formula.

Any help/tips appreciated.

Regards

 

[Vanadium 50]

Dave Carey, "The Optics of Charged Particle Beams"

 

[Alkass]

something more recent? my library does not have it...

 

[Vanadium 50]

More recent? Do you think the laws of physics have changed in the last few years?

 

[Alkass]

Probably you missed that my library does not have it..so any other book suggestion ?

 

[mfb]

"Beam optics" is a good keyword. Or just check what your library has.

 

[Vanadium 50]

No, I just didn't want to play the game of "guess which books my library has".