Activity: Talk or presentation › Oral presentation
We study the unconventional propagation of light through a three-dimensional (3D) superstructure of resonant cavities in a 3D photonic band gap crystal. Such a 3D crystal of cavities is the photonic analogue of the Anderson model that describes electronic and spin excitations . Here, we calculate the coupled-cavity modes. We find that the dispersion is accurately described by a hopping Hamiltonian, wherein the light only hops in the Cartesian x-y-z directions and in the xz diagonal directions, which strongly differs from the usual Bloch wave propagation. The bandwidth of the dispersion depends strongly on direction, which is explained by negative xz-couplings.
Recently, our group has started to fabricate 3D crystals of cavities in inverse woodpile crystals . We predict how these unconventional modes of light can be excited in our optical experiments, by employing wavefront shaping.  Anderson, Phys. Rev. 109, 1492 (1958)  Grishina et al., Nanotechnology 26, 505302 (2015)