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

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

2002-05-30

arxiv.org/abs/physics/0205091v1

Physics

Optics

4 pages

Scientific paper

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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