Page 466 - Tunable Lasers Handbook
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426     Paul Zorabedian



















                  FIGURE  45  Facet reflectance  2t  onset of  axial mode instability  versus external  feedback and
                  linewidth broadening factors. (Reproduced UI. ith permission from Zorabedian  [24]. 0 1994 IEEE.)




                  facet,  that  is, -31%.  Second, the  linewidth broadening  factor  is  usually not  a
                  parameter that is directly under the control of the cavity designer. For 1300- and
                  1550-nm Fabry-Perot  diode lasers, (Y. has a typical value of 4 to 7 near the gain
                  peak  and increases to >10 at the band edge  [6], which implies that stability is
                  more difficult to achieve at the long-wavelength edge of  the tuning range. This
                  has been experimentally confirmed.
                      Note that this analysis has its limitations. Although it is intuitively obvious
                  that the resolution of the intracavity filter should have a strong influence on axial
                  mode stability, this parameter is not taken into account. Therefore. the analysis
                  should be interpreted in the following way: If unstable as well as stable modes
                  lie within the  filter bandwidth. the laser is likely to go into a multimode state.
                  Narrowing the filter bandwidth increases the ability to reject the unstable modes
                  and achieve steady-state single-mode operation.

                  16.3  Tuning Nonlinearity

                      Oscillation occurs at the cavity mode with the lowest threshold gain. Due to
                  residual facet feedback, this mode may differ appreciably from the peak wave-
                  length of  the filter. For a given set of cavity parameters (filter bandwidth, facet
                  reflectance,  and  external  feedback)  the  lowest  threshold  mode  can  be  found
                  numerically  for  e\7ery  position  of  the  filter  peak  [145]. A  plot  of  oscillation
                  wavelength versus filter peak wavelength shows the tuning fidelity of the laser. A
                  filter bandwidth  that  is  narrow  compared  to  the  solitary mode  spacing  and  a
                  large ratio of external feedback to facet feedback results in a nearly linear tuning
                  curve (Fig. 46). A broader filter bandwidth and a smaller feedback ratio gives a
                  more nonlinear tuning cune that tends toward a staircase (Fig. 47). Overall tun-
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