A two parameter study near the locking region of a semiconductor laser with phase-conjugate feedback

B Krauskopf; K Green

A two parameter study near the locking region of a semiconductor laser with phase-conjugate feedback

B Krauskopf
, K Green

Research output: Working paper

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Abstract

A semiconductor laser subject to phase-conjugate optical feedback can be described by rate equations, which are mathematically delay differential equations (DDEs) with an infinite-dimensional phase space. We employ new numerical continuation techniques for DDEs to study the exact nature of the locking region in the parameter plane given by the feedback strength and the pump current. This reveals interesting dynamics, including heteroclinic bifurcations, near the locking region, leading to different scenarios of possible transitions into and out of locking. We show how several special points act as organizing centers for the dynamics.

Original language	English
Publication status	Published - 2002

Bibliographical note

Additional information: Preprint of a paper later published by Siam Publications (2003), Siam Journal on Applied Dynamical Systems, 2(2), pp.254-276, ISSN 1536-0040

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http://hdl.handle.net/1983/516

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1 Conference Contribution (Conference Proceeding)

A two parameter study near the locking region of a semiconductor laser with phase-conjugate feedback
Krauskopf, B. & Green, K., 2003, Proc of SPIE. Vol. 4986. p. 513 - 520
Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

Cite this

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title = "A two parameter study near the locking region of a semiconductor laser with phase-conjugate feedback",

abstract = "A semiconductor laser subject to phase-conjugate optical feedback can be described by rate equations, which are mathematically delay differential equations (DDEs) with an infinite-dimensional phase space. We employ new numerical continuation techniques for DDEs to study the exact nature of the locking region in the parameter plane given by the feedback strength and the pump current. This reveals interesting dynamics, including heteroclinic bifurcations, near the locking region, leading to different scenarios of possible transitions into and out of locking. We show how several special points act as organizing centers for the dynamics.",

author = "B Krauskopf and K Green",

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AU - Green, K

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Y1 - 2002

N2 - A semiconductor laser subject to phase-conjugate optical feedback can be described by rate equations, which are mathematically delay differential equations (DDEs) with an infinite-dimensional phase space. We employ new numerical continuation techniques for DDEs to study the exact nature of the locking region in the parameter plane given by the feedback strength and the pump current. This reveals interesting dynamics, including heteroclinic bifurcations, near the locking region, leading to different scenarios of possible transitions into and out of locking. We show how several special points act as organizing centers for the dynamics.

AB - A semiconductor laser subject to phase-conjugate optical feedback can be described by rate equations, which are mathematically delay differential equations (DDEs) with an infinite-dimensional phase space. We employ new numerical continuation techniques for DDEs to study the exact nature of the locking region in the parameter plane given by the feedback strength and the pump current. This reveals interesting dynamics, including heteroclinic bifurcations, near the locking region, leading to different scenarios of possible transitions into and out of locking. We show how several special points act as organizing centers for the dynamics.

M3 - Working paper

BT - A two parameter study near the locking region of a semiconductor laser with phase-conjugate feedback

ER -

A two parameter study near the locking region of a semiconductor laser with phase-conjugate feedback

Abstract

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Research output

A two parameter study near the locking region of a semiconductor laser with phase-conjugate feedback

Cite this