Non-Hermitian engineering of single mode two dimensional laser arrays

TL;DR

This paper proposes a novel spectral engineering scheme using pseudo-isospectral chains and mathematical transformations to achieve single-mode operation in two-dimensional laser arrays, applicable across various photonic platforms.

Contribution

It introduces a new method combining Householder transformation and discrete supersymmetry to suppress unwanted modes in laser arrays, enabling stable single-mode operation.

Findings

Successful suppression of supermodes in simulations

Applicable to VCSEL and photonic crystal laser arrays

Potential for improved laser coherence and stability

Abstract

A new scheme for building two dimensional laser arrays that operate in the single supermode regime is proposed. This is done by introducing an optical coupling between the laser array and a lossy pseudo-isospectral chain of photonic resonators. The spectrum of this discrete reservoir is tailored to suppress all the supermodes of the main array except the fundamental one. This spectral engineering is facilitated by employing the Householder transformation in conjunction with discrete supersymmetry. The proposed scheme is general and can in principle be used in different platforms such as VCSEL arrays and photonic crystal laser arrays.