# Robust topology optimization of three-dimensional photonic-crystal band-gap structures.

@article{Men2014RobustTO, title={Robust topology optimization of three-dimensional photonic-crystal band-gap structures.}, author={Han Men and Karen Ka Yan Lee and Robert M. Freund and Jaime Peraire and S. G. Johnson}, journal={Optics express}, year={2014}, volume={22 19}, pages={ 22632-48 } }

We perform full 3D topology optimization (in which "every voxel" of the unit cell is a degree of freedom) of photonic-crystal structures in order to find optimal omnidirectional band gaps for various symmetry groups, including fcc (including diamond), bcc, and simple-cubic lattices. Even without imposing the constraints of any fabrication process, the resulting optimal gaps are only slightly larger than previous hand designs, suggesting that current photonic crystals are nearly optimal in this…

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