1. Status of SPARC Undulator
F.Ciocci
ENEA Fis-Mat

2. Undulator parameter set
Periods
2.8 cm
No of periods 77
Gap (nom.,min,max)
0.925,0.6,2.5 cm
K (nom.,min,max)
2.145, 3.2, 0.38
Drifts between undulator sections
36 cm
PM remanent field
1.3 T
Blocks per period 4
Bock size (h x t x w)*
2 x 0.7 x 5 cm
* H= height t= thickness, w= width

3. Electron beam parameters
Beam Energy
150 MeV
Peak current
100 A
Energy Spread (slice)
< 0.1 %
Emittances (slice)
1 mm mrad
Numerical codes used for FEL simulations
PROMETEO (ENEA)
PERSEO (ENEA)
PARSIFEL (ENEA-codice semi-analitico.)
GINGER
GENESIS

4. FEL power evolution vs longitudinal coordinate z
(lu = 2.8 cm, K = , I = 100 A)

5. Mechanical tollerances
Deflection of the undulator support structure, induced by the weight and by the attraction between the undulator surfaces, determined by the magnetic forces
Misalignment of the undulator pole faces with respect to mid plane axis

6. Transverse misalignment of the undulator pole faces with respect to mid plane axis
Misalignment of the undulator pole bars with respect to z axis

7. Combined effect of the misalignment and of the deflection due to the magnetic forces on the evolution of the FEL power
Effect of the induced deflection and misalignment on the evolution of the power of the fundamental and higher order harmonics
d= 10mm f = 5 mrad.

8. analysis of magnetic field errors
We have performed a numerical simulation of the effect on FEL power behaviour of the magnetic field errors due to the magnetic blocks characteristics.
We have assumed that the maximum deviation between the single block magnetization is 1% and 1° is the maximum deviation of the magnetization axis.
Assuming that the magnetizations of the single blocks and the relevant orientations have gaussian distributions, we find, that they are characterized by the rms values

9. Pierce parameter conditions
DT=k 0.3° C

10. Undulator Technical specifications
Value of the on axis (peak) magnetic field B
at a gap of 0.925cm G
R.M.S. relative peak magnetic field < 10-3
First field integral < 0.5 G . m
Second field integral < 0.6 G . m2
Accuracy of the single period to maintain the
Phase locking Dlu along the undulator < 20 mm

11. ACCEL
Hybrid Undulator for DELTA

12. TIME SCHEDULE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
Detailed Undulator design
Construction and factory testing of the first Undulator Prototype Section
Construction and factory testing of the 5 Undulator Series Sections
ENEA Acceptance Test

13. Mechanical alignment of the sections
Each section must foresee the necessary equipment to fulfil the following tolerances for the mechanical alignment of the complete undulator device
Maximum Error of transverse positioning
(vertical and horizontal) mm
Maximum Error of longitudinal positioning mm
Maximum error of angular alignment (f) mrad
Maximum error of angular alignment (q) mrad
Maximum error of angular alignment (y) mrad

16. Sparc versus Sparx Current 2000 A Energy 1150 MeV
Energy Spread
Emittances 1 mm mrad

17. Power vs. z