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Optical Amplifiers                                                                 263



           Example 6.5
           An amplifier operating at 1545 nm has a gain G = 25 dB, F = 6 dB, and input power P =−22 dBm. Cal-
                                                                                 in
                                                          n
           culate the OSNR in a bandwidth of 12.49 GHz.
           Solution:

                                                 P out  = GP ,
                                                         in
                                         P (dBm)= G(dB)+ P (dBm)
                                          out
                                                            in
                                                  = 25 dB − 22 dBm
                                                  = 3dBm,
                                            P out  = 10 P out (dBm)∕10  mW

                                               = 2mW.
           From Eq. (6.102), we have

                                                           hf 0
                                              ASE  =(GF − 1)  ,
                                                      n
                                                            2
                                            F = 10 F n (dB)∕10  = 3.98,
                                             n
                                                 G(dB)∕10
                                            G = 10      = 316.22,
                                          c      3 × 10 8
                                      f =    =            = 194.17 THz,
                                      0                −9
                                             1545 × 10
                                           0
                                                                         12
                           ASE  =(316.22 × 3.98 − 1)× 6.626 × 10 −34  × 194.17 × 10 ∕2W/Hz
                              = 8.09 × 10 −17  W/Hz

                              B opt  = 12.49 GHz,

                                       P out             2 × 10 −3
                            OSNR =            =                           = 989,
                                    2 ASE  B opt  2 × 8.09 × 10 −17  × 12.49 × 10 9

                                    OSNR(dB) = 10 log  (OSNR)= 29.95 dB.
                                                     10




           6.6  Semiconductor Optical Amplifiers

           A semiconductor optical amplifier (SOA) or semiconductor laser amplifier (SLA) is nothing but a laser oper-
           ating slightly below threshold. The optical field incident on one facet is amplified at the other accompanied
           by the ASE. The SOAs can be divided into two types: (i) cavity-type SOA or Fabry–Perot amplifier (FPA),
           (ii) traveling wave amplifier (TWA).
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