Green, K

Krauskopf, B

English

We study the behaviour of a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback in which the optical modes are coupled through the external round-trip. Starting from a delayed partial differential equation description of the spatial optical mode profiles and the carrier diffusion, we first use eigenfunction expansion techniques to resolve the spatial dependence. The resulting system of delay differential equations is then amenable to a full nonlinear bifurcation analysis by means of numerical continuation techniques. As illustration, we present bifurcation diagrams of a two-mode VCSEL in the plane of feedback strength versus feedback phase. In this way, we identify a number of changes in the structure and bifurcations of the VCSEL's dynamics. In particular, we find coexisting stable steady state solutions, which bifurcate to stable in-phase and anti-phase periodic solutions with vastly differing frequencies. We show how these periodic solutions give rise to quasiperiodic and chaotic laser dynamics.We study the behaviour of a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback in which the optical modes are coupled through the external round-trip. Starting from a delayed partial differential equation description of the spatial optical mode profiles and the carrier diffusion, we first use eigenfunction expansion techniques to resolve the spatial dependence. The resulting system of delay differential equations is then amenable to a full nonlinear bifurcation analysis by means of numerical continuation techniques. As illustration, we present bifurcation diagrams of a two-mode VCSEL in the plane of feedback strength versus feedback phase. In this way, we identify a number of changes in the structure and bifurcations of the VCSEL's dynamics. In particular, we find coexisting stable steady state solutions, which bifurcate to stable in-phase and anti-phase periodic solutions with vastly differing frequencies. We show how these periodic solutions give rise to quasiperiodic and chaotic laser dynamics

Green, K.

Explore Bristol Research

Bifurcation analysis of a multi-transverse-mode VCSEL

We study the behaviour of a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback in which the optical modes are coupled through the external round-trip. Starting from a delayed partial differential equation description of the spatial optical mode profiles and the carrier diffusion, we first use eigenfunction expansion techniques to resolve the spatial dependence. The resulting system of delay differential equations is then amenable to a full nonlinear bifurcation analysis by means of numerical continuation techniques. As illustration, we present bifurcation diagrams of a two-mode VCSEL in the plane of feedback strength versus feedback phase. In this way, we identify a number of changes in the structure and bifurcations of the VCSEL's dynamics. In particular, we find coexisting stable steady state solutions, which bifurcate to stable in-phase and anti-phase periodic solutions with vastly differing frequencies. We show how these periodic solutions give rise to quasiperiodic and chaotic laser dynamics

[Analysis and Design of Vertical Cavity Surface Emitting Lasers],

[Elements of Applied Bifurcation Theory], Third Edition, Springer-Verlag

[Introduction to Functional Diﬀerential Equations], Springer-Verlag

All-Optical Regeneration Using Transverse Mode Switching in Long-Wavelength Vertical-Cavity Surface-Emitting Lasers”,

Bifurcation analysis of a spatially extended laser with optical feedback”,

DDE-BIFTOOL: a Matlab package for bifurcation analysis of delay diﬀerential equations”,

External cavity mode structure of a two-mode VCSEL subject to optical feedback”

External optical feedback eﬀects on semiconductor injection laser properties”,

Lasing Mode Selection in Vertical-Cavity Surface-Emitting Lasers”

PDDE-CONT: A continuation and bifurcation software for delay-diﬀerential equations”,

Selection and modulation of high-order transverse modes in vertical-cavity surface-emitting lasers”,

Symmetry properties of lasers subject to optical feedback”,

The ECM-backbone of the Lang-Kobayashi equations: A geometric picture”,

Transverse-mode dynamics in vertical-cavity surface-emitting lasers with optical feedback”,

Transverse-mode selection in external-cavity vertical-cavity surfaceemitting laser diodes”,

https://research-information.bris.ac.uk/files/3009227/gk_feb08.pdf

Bifurcation analysis of a multi-transverse-mode VCSEL

Abstract

Similar works

Full text

Available Versions

Explore Bristol Research

Explore Bristol Research