Envelope dynamics and stability with non-linear space-charge forces

• We developed a model to calculate the stability of Gaussian beam distributionswith non-linear space-charge forces in the presence of random and skewquadrupoleerrors. The eect of the space-charge force on the beam matrix iscalculated analytically including full cross-plane coupling in 4D phase space,which allows us to perform fast parameter studies. For stability analysis, wend the xed points of the beam including the space-charge forces and constructa Jacobi-matrix by slightly perturbing the periodic solution. The stability ofenvelope oscillations is inferred by eigenvalue analysis. Furthermore, we employenvelope tracking as a complementary method and compare the results ofthe eigenvalue analysis with FFT data from the tracked envelope. The nonlinearityof the space-charge force in combination with lattice errors and beamcoupling opens up for envelope-lattice resonances and envelope coupling resonances.Hitting these resonances leads to envelope blow-up, causing an eectivebeam mismatch. Therefore, we nally examine the eect of beam mismatch onthe envelope tune-shift and its stability.

Ämnesord

NATURVETENSKAP  -- Fysik -- Acceleratorfysik och instrumentering (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Accelerator Physics and Instrumentation (hsv//eng)

Nyckelord

space-charge

beam stability

quadrupole error

skew quadrupole

stop-band

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)