Analytical theory of external cavity modes of a semiconductor laser with phase conjugate feedback

Thomas Erneux; A Gavrielides; K Green; B Krauskopf

Analytical theory of external cavity modes of a semiconductor laser with phase conjugate feedback

Thomas Erneux, A Gavrielides, K Green, B Krauskopf

Department of Engineering Mathematics

Research output: Working paper

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Abstract

The rate equations describing a laser with phase conjugate feedback are analyzed in the case of non-zero detuning. For low feedback rates and detuning, the stability diagram of the steady state is similar to the laser subject to injection. A stable steady state may loose its stability through a Hopf bifurcation exhibiting a frequency close to the relaxation oscillation frequency of the solitary laser. We also construct time-periodic pulsating intensity solutions exhibiting frequencies close to an integer multiple of the external cavity frequency. These solutions have been found numerically for the zero detuning case and play an important role in the bifurcation diagram.

Original language	English
Publication status	Unpublished - 2004

Bibliographical note

Terms of use: Copyright 2004 Society of Photo-Optical Instrumentation Engineers.
This paper was later published in Semiconductor Lasers and Laser Dynamics, edited by D. Lenstra, G. Morthier, T. Erneux, M. Pessa, Proc. of SPIE 5452 (SPIE, Bellingham, WA, 2004), 263-272. and is made available as an electronic reprint (preprint) with permission of SPIE. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper
are prohibited.

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2004r17Submitted manuscript, 186 KB

http://hdl.handle.net/1983/98

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Analytical theory of external cavity modes of a semiconductor laser with phase conjugate feedback
Erneux, T., Gavrielides, A., Green, K. & Krauskopf, B., 2004, Unknown. Vol. 5452. p. 263 - 272
Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

Cite this

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title = "Analytical theory of external cavity modes of a semiconductor laser with phase conjugate feedback",

abstract = "The rate equations describing a laser with phase conjugate feedback are analyzed in the case of non-zero detuning. For low feedback rates and detuning, the stability diagram of the steady state is similar to the laser subject to injection. A stable steady state may loose its stability through a Hopf bifurcation exhibiting a frequency close to the relaxation oscillation frequency of the solitary laser. We also construct time-periodic pulsating intensity solutions exhibiting frequencies close to an integer multiple of the external cavity frequency. These solutions have been found numerically for the zero detuning case and play an important role in the bifurcation diagram.",

author = "Thomas Erneux and A Gavrielides and K Green and B Krauskopf",

note = "Terms of use: Copyright 2004 Society of Photo-Optical Instrumentation Engineers. This paper was later published in Semiconductor Lasers and Laser Dynamics, edited by D. Lenstra, G. Morthier, T. Erneux, M. Pessa, Proc. of SPIE 5452 (SPIE, Bellingham, WA, 2004), 263-272. and is made available as an electronic reprint (preprint) with permission of SPIE. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. ",

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AU - Erneux, Thomas

AU - Gavrielides, A

AU - Green, K

AU - Krauskopf, B

N1 - Terms of use: Copyright 2004 Society of Photo-Optical Instrumentation Engineers. This paper was later published in Semiconductor Lasers and Laser Dynamics, edited by D. Lenstra, G. Morthier, T. Erneux, M. Pessa, Proc. of SPIE 5452 (SPIE, Bellingham, WA, 2004), 263-272. and is made available as an electronic reprint (preprint) with permission of SPIE. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.

PY - 2004

Y1 - 2004

N2 - The rate equations describing a laser with phase conjugate feedback are analyzed in the case of non-zero detuning. For low feedback rates and detuning, the stability diagram of the steady state is similar to the laser subject to injection. A stable steady state may loose its stability through a Hopf bifurcation exhibiting a frequency close to the relaxation oscillation frequency of the solitary laser. We also construct time-periodic pulsating intensity solutions exhibiting frequencies close to an integer multiple of the external cavity frequency. These solutions have been found numerically for the zero detuning case and play an important role in the bifurcation diagram.

AB - The rate equations describing a laser with phase conjugate feedback are analyzed in the case of non-zero detuning. For low feedback rates and detuning, the stability diagram of the steady state is similar to the laser subject to injection. A stable steady state may loose its stability through a Hopf bifurcation exhibiting a frequency close to the relaxation oscillation frequency of the solitary laser. We also construct time-periodic pulsating intensity solutions exhibiting frequencies close to an integer multiple of the external cavity frequency. These solutions have been found numerically for the zero detuning case and play an important role in the bifurcation diagram.

M3 - Working paper

BT - Analytical theory of external cavity modes of a semiconductor laser with phase conjugate feedback

ER -

Analytical theory of external cavity modes of a semiconductor laser with phase conjugate feedback

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Analytical theory of external cavity modes of a semiconductor laser with phase conjugate feedback

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