4. SPring-8 operates at 8 GeV and about 100 mA. They have built a wavelength
shifter to maximize output of high-energy photons.
10
8
6
4
2
0
–2
0
0.2
0.4
0.6
0.8
1
1.2
Length [m]
Magnetic Field [T]
Exp.
Cal.
(a) From the above field diagram, estimate (approximately) how much power is
radiated by their wavelength shifter.
(b) Estimate the critical energy on-axis and for a few angles off-axis.
5. SPring-8 also has an undulator with 781 periods over 37 m.
(a) How much power is radiated by this device at its maximum field of 0.59 T?
(b) What is the first-order energy radiated on-axis when K ¼ 1.5?
(c) What is the first-order energy radiated at 1 microradian when K ¼ 1.5?
6. For a typical undulator with a 5 cm period and at K ¼ 2 on a 2 GeV ring, calculate
the power radiated by such a device with 50 poles.
7. Consider the initial properties of the Large Hadron Collider: 8.3 T bend magnets
with a bend radius of 2813 m and protons at an energy of 7 TeV.
(a) What is the critical energy and wavelength of the bend magnet synchrotron
radiation?
(b) How much power is radiated by this device at its maximum field of 0.59 T?
(c) How much power would be radiated if the LHC stored electrons at 7 TeV?
(d) What wavelength do you expect from a 2 Â 280 mm period 5 Tesla
undulator?
3.12 Reference Books and Review Articles
1. The Science and Technology of Undulators and Wigglers, James A. Clarke,
Oxford Series on Synchrotron Radiation, Oxford University Press, New York,
2004, ISBN 0-19-850855-7.
2. Undulators, Wigglers, and Their Applications, H. Onuki and P. Elleaume, eds.,
Taylor and Francis, London, 2003, ISBN 0-415-28040-0.
3. Synchrotron Radiation—Production and Properties, Philip John Duke, Oxford
University Press, New York, 2000, ISBN 0-19-851758-0.
3.12 Reference Books and Review Articles
67
shifter to maximize output of high-energy photons.
10
8
6
4
2
0
–2
0
0.2
0.4
0.6
0.8
1
1.2
Length [m]
Magnetic Field [T]
Exp.
Cal.
(a) From the above field diagram, estimate (approximately) how much power is
radiated by their wavelength shifter.
(b) Estimate the critical energy on-axis and for a few angles off-axis.
5. SPring-8 also has an undulator with 781 periods over 37 m.
(a) How much power is radiated by this device at its maximum field of 0.59 T?
(b) What is the first-order energy radiated on-axis when K ¼ 1.5?
(c) What is the first-order energy radiated at 1 microradian when K ¼ 1.5?
6. For a typical undulator with a 5 cm period and at K ¼ 2 on a 2 GeV ring, calculate
the power radiated by such a device with 50 poles.
7. Consider the initial properties of the Large Hadron Collider: 8.3 T bend magnets
with a bend radius of 2813 m and protons at an energy of 7 TeV.
(a) What is the critical energy and wavelength of the bend magnet synchrotron
radiation?
(b) How much power is radiated by this device at its maximum field of 0.59 T?
(c) How much power would be radiated if the LHC stored electrons at 7 TeV?
(d) What wavelength do you expect from a 2 Â 280 mm period 5 Tesla
undulator?
3.12 Reference Books and Review Articles
1. The Science and Technology of Undulators and Wigglers, James A. Clarke,
Oxford Series on Synchrotron Radiation, Oxford University Press, New York,
2004, ISBN 0-19-850855-7.
2. Undulators, Wigglers, and Their Applications, H. Onuki and P. Elleaume, eds.,
Taylor and Francis, London, 2003, ISBN 0-415-28040-0.
3. Synchrotron Radiation—Production and Properties, Philip John Duke, Oxford
University Press, New York, 2000, ISBN 0-19-851758-0.
3.12 Reference Books and Review Articles
67