Tapering optimizations for TW level superconducting undulators: summary of simulation results

Claudio Emma, Paul Emma, Claudio Pellegrini, Juhao WuSLAC

July 2014

Simulation parameters and tapering optimisation

ρ=9.8535*10-4 Lg1D = 89 cmMing-Xie Parametrization

Kq,0 = 47.5 T/m

Undulator Radiation Beam Electron Beamλu = 1.9 cm λr = 0.324 nm I0 = 4 kA

K = 3.45 Prad = 5 MW εx,εy = 0.4/0.4 μm

Lu = 70.3 m σrad,0 = 22 μm σe = 12.6 μm Nsec = 35 ZR,seed = 10 m E = 7.3 GeV

lFODO = 4.14 m σγ = 1.7*10-4

Lg3d = 0.99 m

Time Dependent Results (parabolic)

Time dependent effects do not spoil bunching as they do after 200 m in NCU

Planar vs. Helical (parabolic electron dist.)

Radiation and Coherence Properties

Coherence area much larger than

radiation beam spot size