By Govind Agrawal
Because the box grew, Agrawal determined to separate this article off from his Nonlinear Fiber Optics, that is extra taken with the discipline's basics. This variation is meant for senior undergraduates, graduate scholars, engineers and technicians within the telecommunications undefined, and scientists operating with fiber optics and optical communications. It covers the development blocks of light-wave know-how - fiber-based gratings, couplers, and interferometers - in addition to amplifiers and lasers made utilizing rare-earth-doped fibers; pulse-compression options; fiber-optic verbal exchange structures; and soliton-based transmission schemes.
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Extra info for Applications of Nonlinear Fiber Optics
In a variation of the chirping idea, it is the coupling coefficient κ that becomes nonuniform along the grating length. This occurs when the parameter δ n1 in Eq. 8) is made a function of z. In practice, variations in the intensity of the ultraviolet laser beam used to make the grating translate into axial variations of κ . From a physical standpoint, since the width of the photonic 49 8 7 Spectral Intensity Intensity (GW/cm2) Related Periodic Structures 6 5 4 3 2 1 0 0 50 100 150 1. 2 1. 0 0. 8 0.
Indeed, under certain conditions, Eqs. 4) can be reduced formally to an effective NLS equation –. A multiple-scale method is commonly used to prove this equivalence; details can be found in Ref. . The analysis used to reduce the nonlinear coupled-mode equations to an effective NLS equation makes use of the Bloch formalism well known in solidstate physics. Even in the absence of nonlinear effects, the eigenfunctions associated with the photonic bands, corresponding to the dispersion relation q2 δ 2 κ 2 , are not A f and Ab but the Bloch waves formed by a linear combination of A f and Ab .
One should then include fiber GVD and replace β g2 by β2 . Noting that γg γ when v 1, Eq. 9) reduces to the standard NLS equation, and U corresponds to the forward-wave amplitude since no backward wave is generated under such conditions. Before we can use Eq. 9) for predicting the modulation-instability gain and the frequency at which the gain peaks, we need to know the total power P0 inside the grating when a CW beam with power Pin is incident at the input end of the grating located at z 0. This is a complicated issue for apodized fiber gratings because κ is not constant in the transition or buffer zone.
Applications of Nonlinear Fiber Optics by Govind Agrawal