Page 230 - Fiber Bragg Gratings
P. 230

5.2 Basic principles and methodology                            207

        discussed. The principle of this method is to write short (4-mm) gratings
        that are overlapped, so that at each printing only a few new periods are
        printed [16]. This is possible with a pulsed UV laser system but requires
        extreme precision in positioning the fiber. To overcome this problem, the
        fiber is supported over the entire length of the grating to be fabricated
        in a long glass vee-groove. The vee-groove is fabricated using two pieces
        of glass assembled together with a small gap at the apex of the vee. This
        allows a vacuum system to be used to hold the fiber precisely in position
        as it is translated. Figure 3.21 shows the overall fabrication equipment.
        Other important issues are the smoothness of the fiber translation system
        and the precise timing of the laser pulse. The former problem is overcome
        by translating the fiber continuously at a constant speed on an air bearing,
        during fabrication, using a linear motor capable of long translation (500
        mm). The location of a point on the fiber carriage is measured continuously
        by an interferometer, which is modulated by a Pockels cell. This tracking
        interferometer has a resolution of —0.3 nm over the translation distance.
        Part of the tracking signal is fed back to maintain a constant speed and
        to compensate for vibrations. The position of the interferometer is fixed,
        and the fiber is translated across the fringes, both backward and forward.
        The process is entirely controlled by a computer, which is programmed
        to generate a particular function in the firing sequence of the laser, move-
        ment direction, and speed of translation.
            The schematic of the printing is shown in Figure 5.7. Overlapping
        fringes are shown in a sequence. The center shows the first printing of a
        grating; the bottom shows the position of the second printing relative to
        the first arranged to arrive just ahead of a fringe maximum already
        printed by a distance + 8, and the top is the position of the third printing,
        which arrives immediately after the second pulse to write on top of the
        same fringe maximum but delayed by a distance —8. Also shown is the
        fringe in the fiber core at the third pulse, being a combination of the
        fringes due to the second and the third pulses only. As can be seen, the
        fringe spreads symmetrically around the original maximum. By altering
        the sequence of pulses, the fringes can be filled in so that the grating
        gradually disappears toward the edges.
            Using this method, unapodized gratings with a FWHM bandwidth
        of 4.6 pm (L g = 200 mm) and apodised gratings with a bandwidth of 27
        pm (L g = 50 mm) have been demonstrated [17], both close to theoretically
        predicted values for low-reflectivity gratings (2-3%). The method natu-
        rally allows any type of apodization to be programmed in.
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