Quantum optics as a tool for photonic lattice design

Abstract

We present the theoretical basis needed to work in the field of photonic lattices. We start by studying the field modes inside and outside a single waveguide. Then we use perturbation theory to deal with an array of coupled waveguides and construct a mode-coupling theory. Finally, we show how quantum optics models can be used as a toolbox to design photonic integrated circuits that behave as multiplexors, optical couplers, and optical oscillators.