Page 497 - Tunable Lasers Handbook
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9 Tunable Free-Electron Lasers   457

                     inside the vacuum chamber, the mirror change can take anywhere from a couple
                     of  hours to a couple of  days depending on the quality of vacuum desired. Many
                     user facilities are considering the use of  in vacuo turntables so that the vacuum
                     does not have to be broken to change a mirror.



                     3.2 Unstable Resonators
                         If  one  has  an  optical  cavity  with  all  metal  optics  the  obvious  question
                     arises of how to couple the laser power out of the cavity. One common method
                     to  accomplish  this  is  to  use  an  unstable  resonator  [40]. Because  the  gain
                     medium is unidirectional.  an obvious design is the negative branch ring unsta-
                     ble resonator  [41]. No FEL has been operated in an unstable mode in order to
                     outcouple the laser light. A couple of lasers have been operated in an unstable
                     configuration  either  by  accident  or  with  dielectric  mirror  output  coupling
                     [42,43]. Due to the small gain volume of FELs and their relatively  small satu-
                     ration  gain, the  only  possible  unstable  resonator  designs  are  negative branch
                     nearly  confocal  cavities.  This  allows  the  mode  to  be  quite  small in  the  gain
                     region  while  keeping  the  mode  large  on  the  output  coupler.  One  can have  a
                     cylindrically  symmetric  cavity  or have  one  axis  of  the  cavity  stable  and  one
                     unstable  as  proposed  bj7  Siegman  [14]. The  stable/unstabie  cavity  has  the
                     advantage  of  a  slower  change  in  the  optical  mode  size  as  the  wavelength  is
                     changed. Shih has studied how to configure the stable/unstable cavity in order
                     to optimize the output mode quality 1451.


                     3.3 Brewster Plate Output Coupling
                         Because the light from a FEL is usually strongly linearly polarized one can
                     install a Brewster plate in the cavity without adding to the cavity losses (with the
                     exception of  scatter and absorption, which can be kept quite small). If  one then
                     rotates the plate by  a few degrees. one can increase the losses by  a calculated
                     amount. The light can then be deflected out of  the laser mode and through an
                     output window. There will be four reflections from the plate, two in each direc-
                     tion. Because the Brewster angle is insensitive to wavelength. the cavity is quite
                     broadband. The optical mode quality is quite good for each of  the four reflec-
                     tions.  One  also has  Ehhe  interesting possibility  of  continuously variable output
                     coupling. There are, however. many disadvantages of this method.

                         1. If  one uses a parallel plate. one gets two almost overlapping spots in the
                     output beam separated in time. This is bad for any applications that require indi-
                     vidual pulses or diffraction-limited spots. If one wedges the plate. one can elimi-
                     nate the extra spot with the penalty of decreased output coupling efficiency. One
                     can use  a separate mirror to recover at least one of  the two backwards reflec-
                     tions, but this also reduces the mode quality.
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