THEORY OF GRATING SUPERSTRUCTURES

Citation
Ngr. Broderick et Cm. Desterke, THEORY OF GRATING SUPERSTRUCTURES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(3), 1997, pp. 3634-3646
Citations number
30
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
55
Issue
3
Year of publication
1997
Part
B
Pages
3634 - 3646
Database
ISI
SICI code
1063-651X(1997)55:3<3634:TOGS>2.0.ZU;2-L
Abstract
We develop the theory of linear and nonlinear grating superstructures, gratings in which the parameters vary periodically with position on t he scale of typically about 1 mm. Following earlier work in semiconduc tors, these have now been written in optical fibers. We develop the th eory by introducing a set of superenvelopes: envelopes of the usual en velope functions of the grating structure. We show that under very gen eral conditions these superenvelopes satisfy a set of supercoupled mod e equations, and that these equations have solitary wave solutions.