Maximizing bandgaps in two-dimensional photonic crystals: a variational algorithm
Optics
2007-05-23 v1
Abstract
We present an algorithm for the maximization of photonic bandgaps in two-dimensional crystals. Once the translational symmetries of the underlying structure have been imposed, our algorithm finds a global maximal (and complete, if one exists) bandgap. Additionally, we prove two remarkable results related to maximal bandgaps: the so-called `maximum contrast' rule, and about the location in the Brillouin zone of band edges.
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Cite
@article{arxiv.physics/0205091,
title = {Maximizing bandgaps in two-dimensional photonic crystals: a variational algorithm},
author = {Prabasaj Paul and Francis C. Ndi},
journal= {arXiv preprint arXiv:physics/0205091},
year = {2007}
}
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4 pages