By Govind Agrawal

ISBN-10: 0120451409

ISBN-13: 9780120451401

This moment version could be an account of nonlinear optical phenomena in fiber optics. It synthesizes study fabric. specific cognizance is paid to the significance of nonlinear results within the layout of optical fiber communique structures.

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16, SPM in combination with the grating-induced anomalous GVD leads to formation of Bragg solitons. 5-cm-long fiber grating. Values of δ from left to right are 3612, 1406, 1053, 935, 847, 788, and 729 m 1 . (After Ref. [66]) However, since both β2g and γg depend on the detuning parameter δ through v, a Bragg soliton can form only in a limited range of δ . With this in mind, we can understand the pulse shapes seen in Fig. 16. Detuning is so large and β g2 is so small for the leftmost trace that the pulse acquires some chirping through SPM but its shape remains nearly unchanged.

1 Bragg Solitons It was realized in 1989 that the coupled-mode equations, Eqs. 2), become identical to the well-known massive Thirring model [117] if the SPM term is set to zero. The massive Thirring model of quantum field theory is known to be integrable by the inverse scattering method [118]–[120]. When the SPM term is included, the coupled-mode equations become nonintegrable, and solitons do not exist in a strict mathematical sense. However, shape-preserving solitary waves can be obtained through a suitable transformation of the soliton supported by the massive Thirring model.

In physical terms, portions of the upper branch in Fig. 12 may become unstable. As a result, the output becomes periodic or chaotic once the beam intensity exceeds the switching threshold. 6. 5, we turn to another instability that occurs even when the CW beam is tuned outside the stop band and does not exhibit optical bistability. 5 Modulation Instability The stability issue is of paramount importance and must be addressed for the CW solutions obtained in the previous section. 1, modulation instability can destabilize the steady-state solution and produce periodic output even when a CW beam is incident on one end of the fiber grating [90]–[95].

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Applications of Nonlinear Fiber Optics by Govind Agrawal

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