The ECM-backbone of the Lang-Kobayashi equations: a geometric picture

V Rottschaefer; B Krauskopf

doi:10.1142/S0218127407017914

The ECM-backbone of the Lang-Kobayashi equations: a geometric picture

V Rottschaefer, B Krauskopf

Research output: Contribution to journal › Article (Academic Journal) › peer-review

35 Citations (Scopus)

Abstract

We perform an analytical study of the external cavity modes of a semiconductor laser subject to conventional optical feedback as modeled by the well-known Lang–Kobayashi equations. Specifically, the bifurcation set is derived in the three-dimensional parameter space of feedback phase, feedback strength and pump current of the laser. Different open regions in this space correspond to different numbers of physically relevant external cavity modes of the laser. Some of their stability properties are determined from the characteristic equation.

Translated title of the contribution	The ECM-backbone of the Lang-Kobayashi equations: a geometric picture
Original language	English
Journal	International Journal of Bifurcation and Chaos
Volume	17(5)
DOIs	https://doi.org/10.1142/S0218127407017914
Publication status	Published - 2007

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title = "The ECM-backbone of the Lang-Kobayashi equations: a geometric picture",

abstract = "We perform an analytical study of the external cavity modes of a semiconductor laser subject to conventional optical feedback as modeled by the well-known Lang–Kobayashi equations. Specifically, the bifurcation set is derived in the three-dimensional parameter space of feedback phase, feedback strength and pump current of the laser. Different open regions in this space correspond to different numbers of physically relevant external cavity modes of the laser. Some of their stability properties are determined from the characteristic equation.",

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T1 - The ECM-backbone of the Lang-Kobayashi equations: a geometric picture

AU - Rottschaefer, V

AU - Krauskopf, B

PY - 2007

Y1 - 2007

N2 - We perform an analytical study of the external cavity modes of a semiconductor laser subject to conventional optical feedback as modeled by the well-known Lang–Kobayashi equations. Specifically, the bifurcation set is derived in the three-dimensional parameter space of feedback phase, feedback strength and pump current of the laser. Different open regions in this space correspond to different numbers of physically relevant external cavity modes of the laser. Some of their stability properties are determined from the characteristic equation.

AB - We perform an analytical study of the external cavity modes of a semiconductor laser subject to conventional optical feedback as modeled by the well-known Lang–Kobayashi equations. Specifically, the bifurcation set is derived in the three-dimensional parameter space of feedback phase, feedback strength and pump current of the laser. Different open regions in this space correspond to different numbers of physically relevant external cavity modes of the laser. Some of their stability properties are determined from the characteristic equation.

U2 - 10.1142/S0218127407017914

DO - 10.1142/S0218127407017914

M3 - Article (Academic Journal)

SN - 1793-6551

VL - 17(5)

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

ER -

The ECM-backbone of the Lang-Kobayashi equations: a geometric picture

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