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Phys. Rev. E 55, 3634–3646 (1997)

Theory of grating superstructures

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N. G. Raphael Broderick and C. Martijn de Sterke
School of Physics and Australian Photonics Cooperative Research Centre, Australian Technology Park, Eveleigh, 1430, Australia

We develop the theory of linear and nonlinear grating superstructures, gratings in which the parameters vary periodically with position on the scale of typically about 1 mm. Following earlier work in semiconductors, these have now been written in optical fibers. We develop the theory by introducing a set of superenvelopes: envelopes of the usual envelope functions of the grating structure. We show that under very general conditions these superenvelopes satisfy a set of supercoupled mode equations, and that these equations have solitary wave solutions.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.55.3634
DOI:
10.1103/PhysRevE.55.3634
PACS:
03.40.Kf, 42.81.Wg, 42.79.Dj