Page 46 - Tunable Lasers Handbook
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2  Narrow-tinewidth Laser Oscillators   27

                         A topic of considerable interest in grating tuned cavities is long-range wave-
                     length tuning. One approach utilized  in cavities incorporating gratings in a LiT-
                     trow configuration, intracavity beam expansion, and an intracavity  etalon, 1s to
                     synchronize the motion of the grating and the etalon. Using this technique.  sev-
                     eral authors hake demonstrated extended frequency scanning ranges  up to sev-
                     eral tens of inverse centimeters [63-64].
                         An elegant approach to long-range wavelength scanning in single-longitudinal-
                     mode  oscillators  is  the  use  of  synchronous  scanning  methods.  This  involves
                     simultaneous adjustment of the cavity length and the feedback angle of the tun-
                     ing element. This is necessary to  suppress mode hopping. The approach intro-
                     duced bj Liu and Littman [65] and Littman [ 171 for grazing-incidence cavities is
                     to rotate the tuning mirror about an axis defined uppro.~imnrely by the intersec-
                     tion of the surface planes (perpendicular to the propagation plane) of the output
                     coupler mirror, the tuning mirror. and the grating. The word appro.x-ii.iwteiy \vas
                     used because the gain region makes the physical length of the cavity slightly dif-
                     ferent from the optical length of the cavity. As discussed by Littman [ 17,661 the
                     optical length of the gain region alters slightly the optimum position of the pivot.
                     McNicholl and Metcalf  [67] provide a scalar diffraction analysis for Littrow and
                     grazing-incidence cavities. For the case of  the Littrow cavity, in the absence of
                     intracavity beam  expansion,  these  authors  have  determined  that  the  optimum
                     position for the rotational axis of the grating is defined by the intersection of the
                     surface plane of the optical origin of the cavity (which is close and parallel to the
                     surface plane of the output coupler) and the surface plane of the Littrow grating.
                     Although Littman  1171 reports  scanning ranges  of up to  15 cm-1,  in a grazing-
                     incidence configuration, McNicholl and Metcalf [67] predict considerable exten-
                     sions in the tuning range.
                        For a cavity  where  the  dispersion  is provided  by  a chain  of  prisms  in an
                     additive configuration. tuning is performed by rotating a mirror at the exit of the
                     prismatic  assembly  [68] since the exit angle at the with  prism varies according






                                             n(h) sin




                     where    is related geometrically to the exit angle of the previous prism $2.fnlpl,,
                     and a,nis the apex angle of the nzth prism. The sign in this equation is reversed if
                     am<y1,, [2]. For an array of  r identical prisms deployed in an additive configura-
                     tion  and with identical angles of  incidence. the cumulative angular spread at the
                     end prism can be significant since the overall single-pass dispersion is [2]
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