Designer disordered materials with large complete photonic band gaps

Details Designer disordered materials with large complete photonic band gaps Designer disordered materials with large complete photonic band gaps

2010-07-21

arxiv.org/abs/1007.3554v1

Proceedings of the National Academy of Sciences Proceedings of the National Academy of Sciences 106, 20658 (2009)

Physics

Optics

8 pages, 6 figures

Scientific paper

10.1073/pnas.0907744106

We present designs of 2D isotropic, disordered photonic materials of arbitrary size with complete band gaps blocking all directions and polarizations. The designs with the largest gaps are obtained by a constrained optimization method that starts from a hyperuniform disordered point pattern, an array of points whose number variance within a spherical sampling window grows more slowly than the volume. We argue that hyperuniformity, combined with uniform local topology and short-range geometric order, can explain how complete photonic band gaps are possible without long-range translational order. We note the ramifications for electronic and phononic band gaps in disordered materials.

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