We present a systematic study of photonic band gaps (PBGs) inthree-dimensional (3D) photonic amorphous structures (PAS) with short-rangeorder. From calculations of the density of optical states (DOS) for PAS withdifferent topologies, we find that tetrahedrally connected dielectric networksproduce the largest isotropic PBGs. Local uniformity and tetrahedral order areessential to the formation of PBGs in PAS, in addition to short-range geometricorder. This work demonstrates that it is possible to create broad, isotropicPBGs for vector light fields in 3D PAS without long-range order.
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