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432                                                               Fiber Optic Communications







                             Electrical field (arb. units)  Red shift    Blue shift















                                                                              Time
                                  Figure 10.5  Instantaneous electric field at the fiber output.



            where P   is the peak power and
                   peak
                                                    1 − exp (−L)
                                               L eff  =         ,                            (10.97)
                                                         
                                                            −1
                                                  = 0.046 km ,                             (10.98)
                                                   L = 100 km.                               (10.99)
                                                 L eff  = 21.52 km.                         (10.100)
                                                         total length
                                            No. of spans =
                                                        amp. spacing
                                                        1000 km
                                                      =
                                                         100 km
                                                      = 10.                                 (10.101)

                                         Total nonlinear phase shift = 10  NL .           (10.102)
                                               P peak (dBm)= 0 dBm,                         (10.103)

                                                     P peak (dBm)∕10
                                             P peak  = 10      mW
                                                 = 1 mW,                                    (10.104)
                                                  10  NL  < 0.5,                          (10.105)
                                                        3
                                        10 ×  × 21.52 × 10 × 1 × 10 −3  < 0.5,
                                                        −3  −1  −1
                                             < 2.32 × 10  W  m .
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