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Active Optical Components



                                                                   Active Optical Components  167






















                      Figure 10.4.  Fiber Bragg gratings are wave-
                      length-selective reflective filters with steep spec-
                      tral profiles.

                      grating inside of it, the spacing of the index perturbations and the refractive
                      index will change. This process induces a change in the Bragg wavelength,
                      thereby changing the center wavelength of the filter. Such optical filters can be
                      made for the S-, C-, and L-bands and for operation in the 1310-nm region.

                        Tunable Grating Technology Before it is stretched, the center wavelength λ c of a
                        fiber Bragg grating filter is given by λ c   2n eff Λ, where n eff is the effective index of the
                        fiber containing the grating and Λ (lambda) is the period of the index variation of the
                        grating. When the fiber grating is elongated by a distance  ∆Λ, the corresponding
                        change in the center wavelength is ∆λ c   2n eff ∆Λ.
                          The stretching can be done by thermomechanical, piezoelectric, or stepper-motor
                        means, as shown in Fig. 10.5. The thermomechanical methods might use a bimetal
                        differential-expansion element which changes its shape as its temperature varies.
                        In the figure the high-expansion bar changes its length more with temperature than
                        the low-expansion frame, thereby leading to temperature-induced length variations in
                        the fiber grating. This method is inexpensive, but it is slow, takes time to stabilize, and
                        has a limited tuning range. The piezoelectric technique uses a material that changes
                        its length when a voltage is applied (the piezoelectric effect). This method provides pre-
                        cise wavelength resolution but is more expensive, complex to implement, and has a
                        limited tuning range. The stepper-motor method changes the length of the fiber grat-
                        ing by pulling or relaxing one end of the structure. It has a moderate cost, is reliable,
                        and has a reasonable tuning speed.
                        One tunable filter version is a tunable variation on the classical structure
                      that has been used widely for interferometer applications. The device consists
                      of two sets of epitaxial layers that form a single Fabry-Perot cavity. Its operation
                      is based on allowing one of the two mirrors to be moved precisely by an actua-
                      tor. This enables a variation of the distance between the two cavity mirrors,
                      thereby resulting in the selection of different wavelengths to be filtered. This


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