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410                                                               Fiber Optic Communications


                                           Electrical data

                                         Mod
                                                                 Ch. 1
                                                                        Ch. 1 23 4 1  2 3 4 1  2 3 4
                                         Mod                   T
                     T                                           Ch. 2
                     s
                                                                             T s
               Laser
                                                                                TDM signal
                                         Mod                   2T
                                                                 Ch. 3
                                         Mod                   3T
                                                                 Ch. 4


                Figure 9.20  Schematic of a four-channel OTDM. Mod = optical modulator and T refers to a delay of T ∕4.
                                                                                            s

                                                     Electrical clock
                           Ch. 1 2  1 2    1 2          signal   Ch. 1   1       1



                                                      MZM
                                OTDM signal                        Demultiplexed
                                                                     channel 1

                       Figure 9.21  Schematic of an OTDM demultiplexer. MZM = Mach–Zehnder modulator.


            9.5.2   Demultiplexing
            Fig. 9.21 shows a schematic of a two-channel OTDM demultiplexer. The MZM is driven by the electrical
            signal at a clock rate of B . To demultiplex channel 1, the amplitude of the electrical driving voltage is
                                  s
            chosen so that channel 1 is at the peak of the MZM transmittivity and channel 2 is at the null (see Section
            4.6.2.2). Therefore, the modulator transmits channel 1 without significant attenuation while it rejects channel
            2. A similar MZM with the appropriate delay transmits channel 2 while rejecting channel 1. MZMs can
            easily be cascaded to demultiplex a channel from an N-channel OTDM signal [7, 43]. To avoid cross-talk
            from other channels, the extinction ratio of the modulator should be high [43]. A moderate extinction ratio
            (∼ 15 dB) can be realized with MZMs. To enhance the extinction further, electroabsorption modulators
            can be used.




            Example 9.5
            A pulse incident on a 3-dB splitter as shown in Fig. 9.22 has a pulse width (FWHM) = 5 ps and a peak power =
            5 mW. The length of fiber 1 is 1 mm. Find the length of fiber 2 so that the separation between pulses after the
            combiner is 25 ps. Assume  = 0.5 × 10 −8  s/m and  = 0 for both fibers.
                                   1
                                                       2
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