Using finite difference time domain and band structure computer simulations,
we show that it is possible to construct optical cavities and waveguide
architectures in hyperuniform disordered photonic solids that are unattainable
in photonic crystals. The cavity modes can be classified according to the
symmetry (monopole, dipole, quadrupole,etc.) of the confined electromagnetic
wave pattern. Owing to the isotropy of the band gaps characteristic of
hyperuniform disordered solids, high-quality waveguides with freeform
geometries (e.g., arbitrary bending angles) can be constructed that have no
analogue in periodic or quasiperiodic solids. These capabilities have
implications for many photonic applications