By Govind Agrawal
This moment version should be an account of nonlinear optical phenomena in fiber optics. It synthesizes learn fabric. specific cognizance is paid to the significance of nonlinear results within the layout of optical fiber verbal exchange platforms.
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Additional info for Applications of Nonlinear Fiber Optics
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 . 5 Experimental Verification The coupled-mode theory has been quite successful in explaining the observed features of fiber gratings. 3 µ m . The fitted curve was calculated using Eq. 29). The 94% peak reflectivity indicates κ L 2 for this grating. 7-nm wide. 84 mm and an index change of 1 2 ¢ 10 3 . The coupled-mode theory explains the observed reflection and transmission spectra of fiber gratings quite well.
However, the same power enhancement occurs at the end of the transition region. From a practical standpoint, one needs to know the amount of peak power Pin required to excite the fundamental Bragg soliton. The soliton period z0 is another important parameter relevant for soliton formation since it sets the length scale over which optical solitons evolve. We can use Eq. 8) with N 1 to estimate both of them. Using the expressions for β g2 and γg from Eq. 9) where T0 is related to the FWHM as TFWHM 1 76 T0 .
In the case of equal amplitudes, the soliton does not move at all since VG becomes zero. This case corresponds to the stationary gap solitons predicted in the 1, Bragg context of superlattices . In the opposite limit in which v solitons cease to exist since the grating becomes ineffective. Another family of solitary waves is obtained by looking for the shapepreserving solutions of the nonlinear coupled-mode equations . Such solitary waves exist both inside and outside the stop band. They reduce to the Bragg solitons described by Eqs.