Bifurcation analysis of coupled laser modes in mutually delay coupled lasers

B Krauskopf; H. Erzgräber; D. Lenstra

Bifurcation analysis of coupled laser modes in mutually delay coupled lasers

B Krauskopf, H. Erzgräber, D. Lenstra

Department of Engineering Mathematics

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Abstract

This paper considers a system of two semiconductor lasers that are mutually coupled face to face, so that they receive each other's light after a fixed delay time. The lasers are assumed to be identical, except for a possible detuning of their free-running frequencies. The coupled laser modes of a rate equation model with delay are studied with tools from bifurcation theory, especially numerical continuation. This reveals a comprehensive geometrical picture, which is organized by the unfoldings for nonzero detuning of pitchfork bifurcations that exists for zero detuning.

Translated title of the contribution	Bifurcation analysis of coupled laser modes in mutually delay coupled lasers
Original language	English
Title of host publication	5th IFAC Workshop, Leuven, Belgium
Pages	233 - 238
Number of pages	5
Publication status	Published - 2004

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Conference Proceedings/Title of Journal: Elsevier (2005)

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Bifurcation analysis of coupled laser modes in mutually delay coupled lasers
Krauskopf, B., Erzgraber, H. & Lenstra, D., 2004, (Unpublished).
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@inproceedings{b9b1d006ac264f72983360de77e31099,

title = "Bifurcation analysis of coupled laser modes in mutually delay coupled lasers",

abstract = "This paper considers a system of two semiconductor lasers that are mutually coupled face to face, so that they receive each other's light after a fixed delay time. The lasers are assumed to be identical, except for a possible detuning of their free-running frequencies. The coupled laser modes of a rate equation model with delay are studied with tools from bifurcation theory, especially numerical continuation. This reveals a comprehensive geometrical picture, which is organized by the unfoldings for nonzero detuning of pitchfork bifurcations that exists for zero detuning.",

author = "B Krauskopf and H. Erzgr{\"a}ber and D. Lenstra",

note = "Conference Proceedings/Title of Journal: Elsevier (2005)",

year = "2004",

language = "English",

pages = "233 -- 238",

booktitle = "5th IFAC Workshop, Leuven, Belgium",

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TY - GEN

T1 - Bifurcation analysis of coupled laser modes in mutually delay coupled lasers

AU - Krauskopf, B

AU - Erzgräber, H.

AU - Lenstra, D.

N1 - Conference Proceedings/Title of Journal: Elsevier (2005)

PY - 2004

Y1 - 2004

N2 - This paper considers a system of two semiconductor lasers that are mutually coupled face to face, so that they receive each other's light after a fixed delay time. The lasers are assumed to be identical, except for a possible detuning of their free-running frequencies. The coupled laser modes of a rate equation model with delay are studied with tools from bifurcation theory, especially numerical continuation. This reveals a comprehensive geometrical picture, which is organized by the unfoldings for nonzero detuning of pitchfork bifurcations that exists for zero detuning.

AB - This paper considers a system of two semiconductor lasers that are mutually coupled face to face, so that they receive each other's light after a fixed delay time. The lasers are assumed to be identical, except for a possible detuning of their free-running frequencies. The coupled laser modes of a rate equation model with delay are studied with tools from bifurcation theory, especially numerical continuation. This reveals a comprehensive geometrical picture, which is organized by the unfoldings for nonzero detuning of pitchfork bifurcations that exists for zero detuning.

M3 - Conference Contribution (Conference Proceeding)

SP - 233

EP - 238

BT - 5th IFAC Workshop, Leuven, Belgium

ER -

Bifurcation analysis of coupled laser modes in mutually delay coupled lasers

Abstract

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Bifurcation analysis of coupled laser modes in mutually delay coupled lasers

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