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92    G a s , C h e m i c a l , a n d F r e e - E l e c t r o n L a s e r s                                         High-Power Fr ee-Electr on Lasers     93


                      that could activate the environs. This third benefit is a very substantial
                      factor in maintenance and radiation shielding. The price one pays for
                      such benefits is the addition of a small amount of magnetic beam trans-
                      port and the forced elimination of instabilities, which can result from
                      feedback of the beam on itself. These issues have largely been resolved
                      for optimized designs of low-frequency cavities. 29
                         Optimization and control of the high-current transport to permit
                      lasing and energy recovery are worthy of a significant paper on their
                      own,  and  the  scope  is  beyond  what  can  be  treated  here.  At  high
                      charge,  there  are  issues  associated  with  maintaining  the  electron
                      beam  quality  as  one  accelerates,  and  especially  as  one  bends,  the
                      beam. Some areas of this physics are still under active investigation
                      and remain unresolved in terms of accurate quantitative predictability.
                      The general strategy, though, is to allow the beam bunches to remain
                      temporally long until just before the FEL interaction, so as to minimize
                      external and self-interactions.
                         In addition, the electron beam’s energy spread is large after the FEL
                      interaction, and magnetic transport is highly chromatic. No beam can
                      be lost during the transport, because even a few microamperes of cur-
                      rent deposited locally in a vacuum pipe wall can burn a hole through
                      it. One must also deal with the need to compress the beam’s energy
                      spread during the energy-recovery process. Otherwise the 6+ percent
                      energy spread at 100 MeV would turn into 100 percent energy spread
                      at 5 MeV. (See Fig. 4.7 for an overview of how this is accomplished.)



                                                     E
                                                 (a)
                                                          φ
                                                                         E

                                                                              φ
                                                                   E    (e)
                         E
                    (b)                                E                φ
                              φ
                                                                (d)
                                                             φ
                                         E           (c)

                                              φ
                                     (f)

                 Figure 4.7  Requirements on phase space (energy vs. RF phase) shown at six
                 points around the IR Demo energy recovering linac. (a) Long bunch in linac.
                 (b) Chirped energy out of linac. (c) High-peak current (short bunch) at FEL. (d) Large
                 energy spread out of FEL. (e) Energy compress using chirp while energy recovering.
                 (f )  “Small” energy spread at dump. (Courtesy David Douglas)
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