Our report addresses linear and nonlinear wave propagation in PBG materials, one-dimensional structures in particular. Most investigators generally address two and three-dimensional structures. We choose one-dimensional systems because in the past they have proven to be quite challenging and have pointed the way to the new physical phenomena that are the subject of this report. In addition, one-dimensional systems can be used as a blueprint for higher dimensional structures, where the work is necessarily much more computationally intensive, and the physics much less transparent as a result.
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