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Maximizing bandgaps in two-dimensional photonic crystals: a variational algorithm

Prabasaj Paul·Francis C. Ndi
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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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Prabasaj Paul, Francis C. Ndi. 2002-05-30. Maximizing bandgaps in two-dimensional photonic crystals: a variational algorithm. https://arxiv.org/abs/physics/0205091

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