Broderick, N.G.Raphael and de Sterke, C.Martijn
Theory of grating superstructures
Physical Review E, 55, (3), . (doi:10.1103/PhysRevE.55.3634).
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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 'super envelopes': envelopes of the usual envelope functions of the grating structure. We show that under very general conditions these super envelopes satisfy a set of super coupled mode equations, and that these equations have solitary wave solutions
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