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Optical Amplifiers



                                                                          Optical Amplifiers  183


                      some of its energy and drop to the desired lasing level. From this level a signal
                      photon can then trigger the excited electron into stimulated emission, whereby
                      the electron releases its remaining energy in the form of a new photon with an
                      identical wavelength as the signal photon. Since the pump photon must have a
                      higher energy than the signal photon, the pump wavelength is shorter than the
                      signal wavelength.

                        Erbium Energy Bands To get a phenomenological understanding of how an EDFA
                        works, we need to look at the energy-level structure of erbium. The erbium atoms in
                        silica are actually Er 3+  ions, which are erbium atoms that have lost three of their
                        outer electrons. In describing the transitions of the outer electrons in these ions to
                        higher energy states, it is common to refer to the process as “raising the ions to higher
                        energy levels.” Figure 11.7 shows a simplified energy-level diagram and various
                        energy-level transition processes of these Er 3+  ions in silica glass. The two principal
                                                                                          4
                        levels for telecommunication applications are a metastable level (the so-called  I 13/2
                                   4
                        level) and the  I 11/2 pump level. The term metastable means that the lifetimes for tran-
                        sitions from this state to the ground state are very long compared to the lifetimes of
                        the states that led to this level.
                                                                        4
                         The metastable band is separated from the bottom of the  I 15/2 ground-state level by
                        an energy gap ranging from about 0.814eV at the bottom of the band (corresponding
                        to a 1527-nm photon) to 0.841eV at the top of the band (corresponding to a 1477-nm
                        photon). The energy band for the pump level exists at a 1.27-eV separation (corre-
                        sponding to a 980-nm wavelength) from the ground state. The pump band is fairly
                        narrow, so that the pump wavelength must be exact to within a few nanometers.
                        In normal operation, a pump laser emitting 980-nm photons is used to excite
                      ions from the ground state to the pump level, as shown by transition process


                        Energy

                              Pump band
                      4
                      I 11/2
                             1    2   Fast nonradiative
                                      decay        Decay to
                                                   lower state
                                                            Metastable band
                      4
                      I 13/2
                                           4      5         6          7
                              Pump transition  transition  Spontaneous  Stimulated  Stimulated
                                       3


                                980-nm   Pump  1480-nm  emission  absorption  emission
                                photon      photon
                                                     1550 nm  1550 nm     1550 nm
                      4                                                      photons
                      I 15/2
                                              Ground-state band
                      Figure 11.7. Simplified energy-level diagrams and various transition processes of
                      Er 3   ions in silica.


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