Download Applications of Nonlinear Fiber Optics by Govind Agrawal PDF

By Govind Agrawal

This moment version might 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 conversation platforms.

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Extra resources for Applications of Nonlinear Fiber Optics

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The reason the first term is a time derivative, rather than the z derivative, was discussed earlier. It can also be understood from a physical standpoint if we note that the variable U does not correspond to the amplitude of the forward- or backwardpropagating wave but represents the amplitude of the envelope associated with the Bloch wave formed by a superposition of Af and Ab . 8) has been written for the case in which the contribution of 1) so that the entire Bloch-wave envelope is propagating A f dominates ( f forward at the reduced group velocity VG .

However, optical pulses should be used in practice because of the high intensities required for observing SPMinduced nonlinear switching. Even then, one needs peak-intensity values in excess of 10 GW/cm2 . For this reason, bistable switching was first observed during the 1980s using DFB semiconductor amplifiers for which large carrierinduced nonlinearities reduce the switching threshold to power levels below 1 mW [122]–[124]. Nonlinear switching in a passive grating was observed in a 1992 experiment using a semiconductor waveguide grating [76].

Pulses near the leading edge have had enough propagation time within the grating to stabilize their widths. These pulses can be thought of as a gap soliton since they are formed even though the input signal is inside the photonic bandgap and would be completely reflected in the absence of the nonlinear effects. Third, pulses near the trailing edge are wider simply because the fiber grating is not long enough for them to evolve completely toward a gap soliton. This interpretation was supported by a later experiment in which the grating length was increased to 20 cm [114].

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