We present designs of 2D isotropic, disordered photonic materials ofarbitrary size with complete band gaps blocking all directions andpolarizations. The designs with the largest gaps are obtained by a constrainedoptimization method that starts from a hyperuniform disordered point pattern,an array of points whose number variance within a spherical sampling windowgrows more slowly than the volume. We argue that hyperuniformity, combined withuniform local topology and short-range geometric order, can explain howcomplete photonic band gaps are possible without long-range translationalorder. We note the ramifications for electronic and phononic band gaps indisordered materials.
展开▼
