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

V. Rottschafer; B. Krauskopf

doi:10.1142/S0218127407017914

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

V. Rottschafer
, B. Krauskopf

Quantum Metrology & Laser Applications

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

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.

Original language	English
Pages (from-to)	1575-1588
Number of pages	14
Journal	International Journal of Bifurcation and Chaos
Volume	17
Issue number	5
DOIs	https://doi.org/10.1142/S0218127407017914
Publication status	Published - 2007

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10.1142/S0218127407017914

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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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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

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JF - International Journal of Bifurcation and Chaos

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

Abstract

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