Page 495 - Tunable Lasers Handbook
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9  Tunable Free-Electron Lasers   455
                     if the inhomogeneous gain reduction factor, slippage factor. and filling factor do
                     not degrade very fast with harmonic number, the gain will be fairly independent
                     of harmonic.  In addition, the values for K,,,   are in the accessible range of  1 to
                     2. Warren er al. have pointed out that  wiggler  parameters  around  unity can be
                     achieved for periods as short as 3 mm by using a pulsed electromagnetic wiggler
                     [37], Efforts to operate a FEL using such a wiggler have thus far failed [38].
                        As an example of  a system that  can  achieve broadband  tunability  by  har-
                     monic lasing. I have calculated the gain versus wavelength for a laser operated in
                     the infrared using an electron beam with parameters  similar to those present in
                     the LANL APEX photoelectron  injector operated at 20 MeV [39] or the Prince-
                     ton CIRFEL device  [31]. Such a device  would be quite compact and would be
                     capable  of  lasing between  3 and 80 ym with  gains  in excess of  30%. At  each
                     harmonic the wavelength m ould be varied by tuning the electron-beam energy.



                     2.4 Wiggler Wavelength Tuning
                        No one has come up with a method by which the wiggler wavelength can be
                     continuously  tuned. The wavelength of  any wiggler is essentially  fixed. Never-
                     theless,  one  can  choose  wavelength  bands  by  selection  of  the  wiggler  wate-
                     length. A large part of the cost of a FEL is the electron source. Once this is akail-
                     able.  one  can  produce  several  undulators  and  optical  cavities, each  of  ivhich
                     covers a v;avelength band for which it is optimized.
                        This concept is so appealing that several user facilities are adopting it. The
                     FEL facility at UCSB  is in the process  of  installing a set of  three  FELs on its
                     accelerator which will cover these ranges: from 2 mm to 300 ym, from 300 to 63
                     pm. and, using third harmonic lasing, from 63 to 30 ,urn. The design tuning range
                     is therefore extended from the 8 to 1 range available in an individual laser to 67 to




                            TABLE  1  Maximum Values for Q at Several Harmonic
                            Numbers and the Wiggler Parameters for Which the
                            Maximum, 90% of Maximum, and Half of Maximum Occur




                            7       0.36061     1.061    0.832     0.566
                                    0.30046     1 .428    1.158    0.852
                            7       0.28843     1.681     1.383    1.018
                            9       0 21665     1.886     1.560    1.2OC
                            11      0.26901     2.057     1.709    1.377
                            15      0.259521    2 337     1.953    1533
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