Page 48 - Tunable Lasers Handbook
P. 48

2  Narrow-Linewidth Laser Oscillators   29

                        Further  information  on  wavelength  tuning  can  be  found  in  Chapter  6.
                     including details on birefringent filters.



                     APPENDIX: DISPERSION OF  MULTIPLE-PRISM ARRAYS
                     AND 4 X 4 TRANSFER MATRICES


                        The description of optical systems using ray transfer matrices of the 3 x 3.
                     4 x 4, and 6 x 6 format has been discussed by several authors [45.69,70]. In the
                     4 x 4 notation the matrix can have the following form [48]:



                                                                                  (34)



                     where the ABCD terms have their usual meaning (given in Table 2) and the F
                     term can be related to dispersion [71]. For a flat mirror the matrix becomes

                                                  1000
                                                  0100                            (35)
                                                  0010      '
                                                  0001

                     and for a thin convex lens the ABCD terms have their usual meaning (given in
                     Table 2) and E =F = G = H  = I= 0 [48].
                        For a single m'th prism the values of  the ABCD terms are as given in Table
                     2, namely.








                                                  c,,, = 0  *                     138)





                     The remaining terms are given by  1481 and can be written in the following form
                     [47] :
   43   44   45   46   47   48   49   50   51   52   53