  Recently we proposed the use of a single collective Mie mode of coupled
dielectric resonators arranged in metastructures designed to simultaneously
enhance the emission rate, control the direction, and propagation of emitted
photons from an embedded single photon source (SPS) [J. Opt. Soc. Am. B 33(12),
2414(2016); J. Appl. Phys.120, 243103(2016)]. Here we extend the analysis to
include the necessary additional two functions of beam splitting and controlled
combing of photons from two distinct on-chip sources for interference. Thus,
the same single Mie mode of the designed system provides all the required five
functions in different spatial regions of an on-chip integrated optical
circuit, enabling full control over photon interference for classical and
quantum optical information processing. Single photon source architectures
suited for such on-chip scalable integration are discussed.
