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Figure 11.12. First-order (+1) diffraction ef ciency vs. exposure time for ATE lms stretched to various strains. The period of grating is 2 mm, and the power per recording beam is 160 mW/cm2. Source: Zhao et al., 2003. Reprinted with permission.
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CHAPTER 11: TUNABLE DIFFRACTION GRATINGS BASED ON AZO MATERIALS
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However, this azobenzene grating appears unstable as Z drops after B20 s. But interestingly, another grating starts to develop at longer exposure times and Z rises again. The effect of lm deformation on the grating formation dynamics continues to amplify with the lm stretched to a strain of 400%. Two things become clear on the basis of these results: rst, the deformation enhances the diffraction ef ciency and second, two grating formation processes appear to take place upon exposure of the stretched lm to the interference pattern. Using the intensity of 160 mW/cm2 per recording beam, a long exposure time can result in a grating with very high diffraction ef ciency. Figure 11.13 shows an example, using an interference pattern of 5-mm period and a lm stretched to 400% deformation. It is seen that Z rises continuously and reaches W30% after 25-min exposure; the inset shows the grating formation dynamics for the rst 40 s, where the rst and unstable grating formation is visible. Moreover, there is a stable grating that remained in the relaxed lm 7 months after the recording, as shown by the POMs in Fig. 11.14. Because the initial grating, recorded on the lm stretched to 400% strain, has a period of 5 mm, the grating in the relaxed state has a period of 1 mm. The lm shows no signs of degradation and remains highly elastic. Subsequent stretching, in the direction perpendicular to the fringes, increases the period by an amount that is linearly proportional to the deformation, as can be noticed from the example of 150% strain that gives a period of 2.5 mm. The diffraction ef ciency Z of this remained holographic grating was measured upon extension and retraction of the lm. Figure 11.15 shows the change in Z as a function of draw ratio, G, as well as the corresponding change in index modulation
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Figure 11.13. Increase in diffraction ef ciency with exposure time for the second grating recorded on an ATE lm stretched to 400% strain. The inset shows the dynamic process of the rst 40 s. The period of grating is 5 mm, and the power per recording beam is 160 mW/cm2. Source: Zhao et al., 2003. Reprinted with permission.
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11.3. MECHANICALLY TUNABLE DIFFRACTION GRATINGS
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Figure 11.14. Polarizing optical micrographs showing the grating remained in the lm 7 months after the recording. The period in the relaxed state is 1 mm, and it increases to 2.5 mm under a strain of 150%. Source: Zhao et al., 2003. Reprinted with permission.
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Dn. Within the Raman Nath regime, the grating index modulation can be estimated from ZE(pdDn/l)2 using the measured Z and the lm thickness d calculated from d = doG 0.5 at each draw ratio (initial lm thickness do=26 mm) (Zhao et al., 2003). The results show that Z changes in a reversible fashion within experimental errors, increasing slightly with the deformation up to a strain of B50% while decreasing at larger strains. At large lm deformations, the sharp decrease in Z is caused by a diminishing index modulation and the decrease in lm thickness.
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Figure 11.15. Changes in both diffraction ef ciency and modulation of refractive index as a function of draw ratio, for the grating remained in the lm 7 months after the recording (Fig. 11.14). Source: Zhao et al., 2003. Reprinted with permission.
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