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To-date, despite remarkable applications in optoelectronics and tremendousamount of theoretical, computational and experimental efforts, there is notechnological pathway enabling the fabrication of 3D photonic band gaps in thevisible range. The resolution of advanced 3D printing technology does not allowto fabricate such materials and the current silica-based nanofabricationapproaches do not permit the structuring of the desired optical material.Materials based on colloidal self-assembly of polymer spheres open 3D completeband gaps in the infrared range, but, owing to their critical index, not in thevisible range. More complex systems, based on oriented tetrahedrons, are stillprospected. Here we show, numerically, that FCC foams (Kepler structure) open a3D complete band gap with a critical index of 2.80, thus compatible with theuse of rutile TiO2. We produce monodisperse solid Kepler foams includingthousands of pores, down to 10 um, and present a technological pathway, basedon standard technologies, enabling the downsizing of such foams down to 400 nm,a size enabling the opening of a complete band gap centered at 500 nm.

Complete photonic band gaps in 3D foams