By Govind Agrawal

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

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12) to fit the experimental data. The nonlinear effects became quite significant at higher power levels. We turn to this issue next. 4 CW Nonlinear Effects Wave propagation in a nonlinear, one-dimensional, periodic medium has been studied in several different contexts [67]–[87]. In the case of a fiber grating, the presence of an intensity-dependent term in Eq. 1) leads to SPM and XPM of counterpropagating waves. These nonlinear effects can be included by solving the nonlinear coupled-mode equations, Eqs.

4) reduce to an effective NLS equation provided two conditions are met. First, the peak intensity of the pulse is small enough that the nonlinear index change n2 I0 in Eq. 1) is much smaller than the maximum value of δ ng . This condition is equivalent to requiring that γ P0 κ or κ LNL 1, 1 where LNL ´γ P0 µ is the nonlinear length. This requirement is easy to satisfy in practice even at peak intensity levels as high as 100 GW/cm2 . Second, the third-order dispersion β3g induced by the grating should be negligible.

In the case of low-power CW beams, both the nonlinear effects and fiberGVD effects can be neglected in Eqs. 2) by setting γj 0 and β2 0 ´ j 1 2µ. These equations then reduce to Eqs. 20 Transmitted power as a function of input peak power for (a) δ 0 and (b) 1 5 cm 1 . Experimental data (solid circles) are compared with coupled-mode theory (open circles). Dashed lines shows the behavior expected in the absence of c 1997 IEEE) nonlinear effects. (After Ref. [135] ­ with the only difference that both z derivatives have the same sign.

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Applications of Nonlinear Fiber Optics by Govind Agrawal
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