Dynamical properties of mutually delayed coupled semiconductor lasers

H Erzgraber; D Lenstra; B Krauskopf; I Fischer

Dynamical properties of mutually delayed coupled semiconductor lasers

H Erzgraber, D Lenstra, B Krauskopf, I Fischer

Department of Engineering Mathematics

Research output: Working paper

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Abstract

We theoretically investigate the dynamical properties of a system of two semiconductor lasers (SLs) that are mutually coupled via their optical fields. An intrinsic feature of the coupling is its time delay which generically arises from the finite propagation time of the light form one SL to the other. In our system the coupling time is in the sub-ns range, which is of the same order of magnitude as the period of SL's internal relaxation oscillations. We model this system with Lang-Kobayashi-type rate equations where we account for the mutual coupling of the two SLs by a delay term. The resulting set of nonlinear delay differential equations, is analyzed by using recently developed numerical continuation. We consider the case of two nearly identical SLs with symmetrical coupling conditions but different frequencies, and present an analysis of the coupled laser modes (CLMs) of the system.

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Publication status	Unpublished - 2004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), 352-361. 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.

Keywords

delay differential equations
mutually coupled lasers
numerical continuation

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2004r07Submitted manuscript, 171 KB

http://hdl.handle.net/1983/97

1 Conference Contribution (Conference Proceeding)

Dynamical properties of mutually delayed coupled semiconductor lasers
Erzgraber, H., Lenstra, D., Krauskopf, B. & Fischer, I., 2004, Unknown. Vol. 5452. p. 352 - 361 10 p.
Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

Cite this

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abstract = "We theoretically investigate the dynamical properties of a system of two semiconductor lasers (SLs) that are mutually coupled via their optical fields. An intrinsic feature of the coupling is its time delay which generically arises from the finite propagation time of the light form one SL to the other. In our system the coupling time is in the sub-ns range, which is of the same order of magnitude as the period of SL's internal relaxation oscillations. We model this system with Lang-Kobayashi-type rate equations where we account for the mutual coupling of the two SLs by a delay term. The resulting set of nonlinear delay differential equations, is analyzed by using recently developed numerical continuation. We consider the case of two nearly identical SLs with symmetrical coupling conditions but different frequencies, and present an analysis of the coupled laser modes (CLMs) of the system.",

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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), 352-361. 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 - Krauskopf, B

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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), 352-361. 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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N2 - We theoretically investigate the dynamical properties of a system of two semiconductor lasers (SLs) that are mutually coupled via their optical fields. An intrinsic feature of the coupling is its time delay which generically arises from the finite propagation time of the light form one SL to the other. In our system the coupling time is in the sub-ns range, which is of the same order of magnitude as the period of SL's internal relaxation oscillations. We model this system with Lang-Kobayashi-type rate equations where we account for the mutual coupling of the two SLs by a delay term. The resulting set of nonlinear delay differential equations, is analyzed by using recently developed numerical continuation. We consider the case of two nearly identical SLs with symmetrical coupling conditions but different frequencies, and present an analysis of the coupled laser modes (CLMs) of the system.

AB - We theoretically investigate the dynamical properties of a system of two semiconductor lasers (SLs) that are mutually coupled via their optical fields. An intrinsic feature of the coupling is its time delay which generically arises from the finite propagation time of the light form one SL to the other. In our system the coupling time is in the sub-ns range, which is of the same order of magnitude as the period of SL's internal relaxation oscillations. We model this system with Lang-Kobayashi-type rate equations where we account for the mutual coupling of the two SLs by a delay term. The resulting set of nonlinear delay differential equations, is analyzed by using recently developed numerical continuation. We consider the case of two nearly identical SLs with symmetrical coupling conditions but different frequencies, and present an analysis of the coupled laser modes (CLMs) of the system.

KW - delay differential equations

KW - mutually coupled lasers

KW - numerical continuation

M3 - Working paper

BT - Dynamical properties of mutually delayed coupled semiconductor lasers

ER -

Dynamical properties of mutually delayed coupled semiconductor lasers

Abstract

Bibliographical note

Keywords

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Research output

Dynamical properties of mutually delayed coupled semiconductor lasers

Cite this