Technical Note Amman, October 29, 2006 (draft) Note: M ... - SESAME

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The magnetic flux density on-axis for the three modes of operations as a function of undulator gap and phase are shown in Figures 4. The fundamental photon energies are shown in Figure 5. Table 2 summarizes the main magnetic properties of the SESAME EPU at minimum gap. 1.2 Magnetic Flux Density [Tesla] 1 0.8 0.6 0.4 0.2 gap= 13mm gap= 16mm gap= 20mm gap= 30mm gap= 50mm gap= 75mm gap=100mm 0 0 5 10 15 20 25 30 35 Undulator Phase [mm] Figure 4. On-axis magnetic flux densities of the SESAME EPU. Fundamental Photon Energy [eV] 1200 1000 800 600 400 200 0 0 10 20 30 40 Undulator Phase [mm] Figure 5. Fundamental photon energies of the SESAME EPU. gap= 13mm gap= 16mm gap= 20mm gap= 30mm gap= 50mm gap= 75mm gap=100mm 4
Table 2. Flux densities, k-values and minimum photon energies at minimum gap of 13mm. Undulator Phase Horizontal Flux Density (T) Vertical Flux Density (T) k-value Photon Energy (eV) Horizontal - 0.9724 5.44 62 0 mm Circular 0.60 0.60 3.36 79 17.2 mm Vertical 30 mm 0.7617 - 4.26 98 The magnetic flux densities, both longitudinal and transverse, for a 10-periods model at minimum gap of 13 mm for the three modes of operation are shown in Figures 6 to 11. The dip at x=0 in Figure 7 is due to the 1 mm separation distance between the left and the right assemblies of the magnet. This effect, called transverse roll off, will result in different flux densities seen by the electron far out from the centre of the transverse phase space. This focusing effect leads to an angular kick of the off-centre electron and, hence, reduces the dynamic aperture of the storage ring, see Section 4.3. The transverse roll off becomes very strong for the vertical mode of operation as shown in Figure 11. 1.5 1 Flux Density [ T ] 0.5 0 -500 -300 -100 100 300 500 -0.5 -1 -1.5 Longitudinal position [ mm ] Figure 6. Longitudinal flux density for the horizontal undulator phase at minimum gap. 5
Page 1 and 2: Technical Note ____________________
Page 3: The inclined mode of operation has
Page 7 and 8: Flux Density [ T ] 0.7 0.6 0.5 0.4
Page 9 and 10: First vert. integral [ G.cm ] 100 8
Page 11 and 12: Trajectory [ micrometer ] 55 45 35
Page 13 and 14: 4. INTERACTION BETWEEN EPU AND ELEC
Page 15 and 16: 4.2. ANGULAR KICK AND TUNE SHIFT Th
Page 17 and 18: Depending on the position x,z of th
Page 19 and 20: 0.025 Vertical Tune Shift 0.02 0.01
Page 21 and 22: OPTICAL FUNCTIONS 30 Beta Z Beta X
Page 23 and 24: Vertical Beta Beat 2 1.5 1 0.5 0 -0
Page 25 and 26: 10000 Vertical Force [Newton] 5000
Page 27 and 28: Brilliance [Photon/s/mm 2 /mrad 2 /
Page 29 and 30: REFERENCES [1] G. Vignola, M. Attal
Page 31 and 32: 0.004 0.003 Hor. Ang. Kick [T 2 m 2
Page 33 and 34: APPENDIX B FEASIBILITY OF HOUSING S
Page 35 and 36: Horizontal Beta Beat 3.5 3 2.5 2 1.

Technical Note Amman, October 29, 2006 (draft) Note: M ... - SESAME

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