Corrections to coupled mode theory for deep gratings
Takeshi IizukaDepartment of Physics, Faculty of Science, Ehime University, Ehime 790-8577, JapanC. Martijn de SterkeSchool of Physics and Optical Fiber Technology Centre, University of Sydney, Sydney 2006, Australia
2000en
ABI
Abstract
We generalize the standard coupled mode equations describing interactions between forward and backward propagating waves in a nonlinear optical Bragg grating. Including the lowest order corrections of the grating depth, we obtain a Hamiltonian system that can be regarded as an extension of the usual coupled mode equations for shallow gratings. The results are consistent with existing results based on a Bloch wave expansion. We also obtain exact traveling solitary wave solutions, that can be regarded as a generalized gap soliton, modified by the grating's depth.
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