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8  Tunable External-Cavity Semiconductor  Lasers   41 5

                     If  yLm, is not independently known, then an alternative method must be  used.
                     This method involves inserting a filter of  known amplitude transmittance .x and
                     negligible  wavefront  distortion  into  the  external  cavity  so  that  its  round-trip
                     amplitude reflectance is reduced by  a factor 12. Then experimentally determine
                     the new  wavelength-averaged threshold current Text* for  the  modified  external
                     cavity. The value is related to the modified external feedback by






                     From  the  various threshold  currents,  the  known  additional filter loss,  and  the
                     bare-fact Fresnel reflectance. the external-cavity reflectance is then given by








                        The preceding formulas are only valid at the original oscillation wavelengffi
                     of  the solitary diode laser prior to coating. To obtain a value of  external-cavity
                     reflectance at other wavelengths, one can factor in any known spectral \,ariation
                     in the losses of the individual intracavity optical components and the filter.


                     12.3  Facet Reflectance
                        There  are  basically  three  methods  for  measuring  the  reflectance of  AR-
                     coated facets. These ape summarized as follows.
                        The first method is a simple approach. but it can be  used only for devices
                     with  one  coated  facet  and  only  when  the  beams  from  both  facets  are  unob-
                     structed. After coating. the laser is operated above its new. higher threshold cur-
                     rent and the L-I curves from both facets are measured. The unknown reflectance
                     of  the  coated facet is related to the assumed-known Fresnel reflectance of  the
                     uncoatedfacet (RL, = 0.31) by  [117,118]








                     where q, and q,  are  the  slope efficiencies for  the  uncoated  and  coated  facets,
                     respectively (Fig. 39). Obviously, this method only determines the facet reflectance
                     at the emission wavelength of the solitary diode laser.
                        The second method [ 1191 can be applied to gain media with AR coatings on
                     one  or  both  facets,  and  it  does not  require  an  unobstructed beam  from  either
                     facet, It relates a change in the round-trip amplification factor to a change in the
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