Excitability and self-pulsations near homoclinic bifurcations in semiconductor laser systems

B Krauskopf; Klaus Schneider; J Sieber; Sebastian Wieczorek; M Wolfrum

Excitability and self-pulsations near homoclinic bifurcations in semiconductor laser systems

B Krauskopf, Klaus Schneider, J Sieber, Sebastian Wieczorek, M Wolfrum

Department of Engineering Mathematics

Research output: Working paper › Working paper and Preprints

177 Downloads (Pure)

Abstract

Many laser systems show self-pulsations with a large amplitude that are born suddenly in a homoclinic bifurcation. Just before the onset of these self-pulsations the laser is excitable where the excitability threshold is formed by the stable manifold of a saddle point. We show that there exists a special configuration, a codimension-two bifurcation called a non-central saddle-node homoclinic orbit, that acts as an organizing center of excitability in lasers. It is the key to understanding excitability in laser systems as diverse as lasers with saturable absorbers, lasers with optical injection and lasers with optical feedback.

Original language	English
Publication status	Published - 2002

Bibliographical note

Additional information: Preprint of a paper later published by Elsevier Science (2003), Optics Communications, 215 (4-6), pp.367-379, ISSN 0030-4018

Access to Document

Bcanm 2002r09Submitted manuscript, 1.67 MB
WarningSubmitted manuscript, 176 bytes

http://hdl.handle.net/1983/529

Fingerprint Dive into the research topics of 'Excitability and self-pulsations near homoclinic bifurcations in semiconductor laser systems'. Together they form a unique fingerprint.

Cite this

@techreport{e31ce89125c14298b1237b1b6cee4f23,

title = "Excitability and self-pulsations near homoclinic bifurcations in semiconductor laser systems",

abstract = "Many laser systems show self-pulsations with a large amplitude that are born suddenly in a homoclinic bifurcation. Just before the onset of these self-pulsations the laser is excitable where the excitability threshold is formed by the stable manifold of a saddle point. We show that there exists a special configuration, a codimension-two bifurcation called a non-central saddle-node homoclinic orbit, that acts as an organizing center of excitability in lasers. It is the key to understanding excitability in laser systems as diverse as lasers with saturable absorbers, lasers with optical injection and lasers with optical feedback.",

author = "B Krauskopf and Klaus Schneider and J Sieber and Sebastian Wieczorek and M Wolfrum",

note = "Additional information: Preprint of a paper later published by Elsevier Science (2003), Optics Communications, 215 (4-6), pp.367-379, ISSN 0030-4018 ",

year = "2002",

language = "English",

type = "WorkingPaper",

}

TY - UNPB

T1 - Excitability and self-pulsations near homoclinic bifurcations in semiconductor laser systems

AU - Krauskopf, B

AU - Schneider, Klaus

AU - Sieber, J

AU - Wieczorek, Sebastian

AU - Wolfrum, M

N1 - Additional information: Preprint of a paper later published by Elsevier Science (2003), Optics Communications, 215 (4-6), pp.367-379, ISSN 0030-4018

PY - 2002

Y1 - 2002

N2 - Many laser systems show self-pulsations with a large amplitude that are born suddenly in a homoclinic bifurcation. Just before the onset of these self-pulsations the laser is excitable where the excitability threshold is formed by the stable manifold of a saddle point. We show that there exists a special configuration, a codimension-two bifurcation called a non-central saddle-node homoclinic orbit, that acts as an organizing center of excitability in lasers. It is the key to understanding excitability in laser systems as diverse as lasers with saturable absorbers, lasers with optical injection and lasers with optical feedback.

AB - Many laser systems show self-pulsations with a large amplitude that are born suddenly in a homoclinic bifurcation. Just before the onset of these self-pulsations the laser is excitable where the excitability threshold is formed by the stable manifold of a saddle point. We show that there exists a special configuration, a codimension-two bifurcation called a non-central saddle-node homoclinic orbit, that acts as an organizing center of excitability in lasers. It is the key to understanding excitability in laser systems as diverse as lasers with saturable absorbers, lasers with optical injection and lasers with optical feedback.

M3 - Working paper and Preprints

BT - Excitability and self-pulsations near homoclinic bifurcations in semiconductor laser systems

ER -