Abstract

We theoretically investigate a setup of two mutually delay-coupled semiconductor lasers in a face to face configuration, and study the multi-stabilities and symmetry-broken one-colour and two-colour states for this system, for the development of mutually coupled lasers for integration in a Photonic Integrated Circuit (PIC).We show that the stable two-colour exist for the finite distance between lasers.

Highlights

  • A system of two mutually coupled semiconductor lasers has been widely studied, both experimentally and theoretically [1, 2]

  • In this paper the physics of mutually injection locked lasers within a photonic integrated circuit (PIC) will be investigated. It is of importance in the creation of advanced modulation formats within a PIC and has additional academic interest in terms of laser dynamics

  • For zero delay, stable symmetric and symmetry-broken one-colour and two-colour states have been recently predicted by Clerkin et al [6]

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Summary

Introduction

A system of two mutually coupled semiconductor lasers has been widely studied, both experimentally and theoretically [1, 2]. The lasers are coherently coupled via their optical fields, where the delay time τ arises from the finite propagation time of the light from one laser to the other This system, which is illustrated, is well described by single mode rate equations, which are a system of delay differential equations (DDEs) with one fixed delay. We present an overview of the rate equation model that we use to study the physics of the system of mutually coupled lasers. We solve these DDEs numerically for a given delay, coupling strength and coupling phase in § 3, when we see symmetric and symmetrybroken one-colour and two-colour states for different input parameters.

Rate equation model
Solution of the DDEs
Bifurcation diagrams
Symmetric solutions
Symmetry-broken solutions
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