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Corrections to coupled mode theory for deep gratings
1Optical Sciences Centre, Research School of Physical Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia and Department of Physics, Faculty of Science, Ehime University, Ehime 790-8577, Japan*.
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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