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Applications of Nonlinear Fiber Optics by Govind Agrawal

By Govind Agrawal

This moment variation can be an account of nonlinear optical phenomena in fiber optics. It synthesizes study fabric. specific awareness is paid to the significance of nonlinear results within the layout of optical fiber verbal exchange structures.

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9) are noteworthy when this equation is compared with the standard NLS equations. First, the variable U represents the amplitude of the envelope associated with the Bloch wave formed by a superposition of A f and Ab . Second, the parameters β2g and γg are not constants but 32 Fiber Gratings depend on the speed-reduction factor v. Both increase as v decreases and become infinite at the edges of the stop band where v 0. Clearly, Eq. 9) is not valid at that point. However, it remains valid close to but outside the stop 1), β2g becomes quite small ( 1 ps2 /km band.

Their use for fiber gratings was suggested in 1994 [89]. The π 2 phase shift opens a narrow transmission window within the stop band of the grating. 13(a) compares the transmission spectra for the uniform and phase-shifted gratings at low powers. At high powers, the central peak bends toward left, as seen in the traces in Fig. 13(b). 13 (a) Transmission spectrum of a fiber grating with (solid curve) and without (dashed curve) π 2 phase shift. (b) Bending of the central transmission peak with increasing power (normalized to the critical power).

3 µ m. (After Ref. 93. The condition κ L 2 with κ 2πδ n1 λ can be used to estimate the grating length required for high reflectivity inside the stop band. For δ n1 10 4 and λ 1 55 µ m, L should exceed 5 mm to yield κ L 2. These requirements are easily met in practice. 5 cm [34]. 5 Experimental Verification The coupled-mode theory has been quite successful in explaining the observed features of fiber gratings. 3 µ m [33]. The fitted curve was calculated using Eq. 29). The 94% peak reflectivity indicates κ L 2 for this grating.

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