Self-Assembled Triply Periodic Minimal Surfaces as Molds for Photonic Band Gap Materials

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Abstract
We propose systems with structures defined by self-assembled triply periodic minimal surfaces (STPMS) as candidates for photonic band gap materials. To support our proposal we have calculated the photonic bands for different STPMS and we have found that, at least, the double diamond and gyroid structures present full photonic band gaps. Given the great variety of systems which crystallize in these structures, the diversity of possible materials that form them, and the range of lattice constants they present, the construction of photonic band gap materials with gaps in the visible range may be presently within reach.
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