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188                    3. Communication with Optics

       Thus,


          p = /j (-)— - = 5.5 mW represents energy of photons/second -> power.
                 \ej A

       Example 3.12. A semiconductor laser has a heterostructure. If the cavity
       length L = 0.2 mm and the refractive index n l = 3.5, the spectral gain width of
       the material is AA 9 = 5 nm. In addition, n 2 — 3.4 and A = 1.5/mi. Calculate
         (a) The number of the longitudinal mode for this laser.
         (b) The maximum thickness, d, to maintain the single transversal mode.
         (c) If the first-order Bragg reflection happens, what is the required period
             of the distributed feedback Bragg grating?

       Solve:
         (a) The spectral space between the adjacent longitudinal modes is

                                       2
                                      A
                               A/I, —     = 1.6 nm.
                                  s
                                     2n,L
             Thus, the number of longitudinal mode N L is

                                A/L    5 nm
                           Nr — —p =        = 3 modes.
                                Ax ff  1.6 nm
                                                       1.5 um
                                                         2
                                                    2 v/3.5  - 3.4'

         (c) Since m = 1 we have 2« } A = A B. Thus,



                                2«,   2-3.5




       3.3.2. OPTICAL RECEIVERS FOR FIBER-OPTIC COMMUNICATIONS
         In fiber-optic communication applications, an optical receiver is a device
       that converts input light signals into electronic signals. There are many types
       of optical receivers (also called photodetectors). However, the most widely used
       ones for fiber-optic communication are semiconductor optical receivers, includ-
       ing the PIN photodetector and the Avalanche photodetector.
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