Analytical Approximation For Photonic Array Modes In 2d Photonic Devices

We present a new, coupled-mode formalism based, Analytical approximation for photonic array modes in 2D electro-optical components, based on photonic crystal lattices (arrays of identical coupled waveguides / lasers) and superlattices (periodic sequences of different coupled waveguides / lasers). The two most popular configurations (square and hexagonal lattices and superlattices) are considered. Our approximation is applicable for the components, in which light propagates along the optical axis of the device. This approach allows for a very fast, simple and accurate analytical evaluation of the EM fields in 2D photonic devices.