Abstract

We present a new stochastic differential equation model for the spontaneous emission noise and carrier noise in semiconductor lasers. The correlations between these two types of noise have often been neglected in recent studies of the effects of the noise on the laser dynamics. However, the classic results of Henry show that the intensity noise and the carrier noise are strongly negatively correlated. Our model demonstrates how to properly account for these correlations since the corresponding diffusion coefficients agree exactly with those derived by Henry. We show that in fact in the correct model the spontaneous emission noise and the carrier noise are driven by the same Wiener processes. Furthermore, we demonstrate that the nonzero correlation time of the physical noise affects the mean dynamics of both the electric field amplitude and the carrier number. We show that these are systematic corrections that can be described by additional drift terms in the model.

Original languageEnglish (US)
JournalIEEE Journal of Quantum Electronics
DOIs
StateAccepted/In press - Dec 29 2017

Fingerprint

Spontaneous emission
spontaneous emission
Semiconductor lasers
Differential equations
differential equations
semiconductor lasers
Electric fields
Lasers
noise intensity
diffusion coefficient
electric fields

Keywords

  • Correlation
  • Laser feedback
  • Laser modes
  • laser noise
  • Mathematical model
  • Semiconductor lasers
  • Semiconductor lasers
  • Spontaneous emission
  • stochastic processes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

Cite this

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title = "Stochastic Differential Equation Model for Spontaneous Emission and Carrier Noise in Semiconductor Lasers",
abstract = "We present a new stochastic differential equation model for the spontaneous emission noise and carrier noise in semiconductor lasers. The correlations between these two types of noise have often been neglected in recent studies of the effects of the noise on the laser dynamics. However, the classic results of Henry show that the intensity noise and the carrier noise are strongly negatively correlated. Our model demonstrates how to properly account for these correlations since the corresponding diffusion coefficients agree exactly with those derived by Henry. We show that in fact in the correct model the spontaneous emission noise and the carrier noise are driven by the same Wiener processes. Furthermore, we demonstrate that the nonzero correlation time of the physical noise affects the mean dynamics of both the electric field amplitude and the carrier number. We show that these are systematic corrections that can be described by additional drift terms in the model.",
keywords = "Correlation, Laser feedback, Laser modes, laser noise, Mathematical model, Semiconductor lasers, Semiconductor lasers, Spontaneous emission, stochastic processes",
author = "Austin McDaniel and Alex Mahalov",
year = "2017",
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day = "29",
doi = "10.1109/JQE.2017.2788415",
language = "English (US)",
journal = "IEEE Journal of Quantum Electronics",
issn = "0018-9197",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - Stochastic Differential Equation Model for Spontaneous Emission and Carrier Noise in Semiconductor Lasers

AU - McDaniel, Austin

AU - Mahalov, Alex

PY - 2017/12/29

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N2 - We present a new stochastic differential equation model for the spontaneous emission noise and carrier noise in semiconductor lasers. The correlations between these two types of noise have often been neglected in recent studies of the effects of the noise on the laser dynamics. However, the classic results of Henry show that the intensity noise and the carrier noise are strongly negatively correlated. Our model demonstrates how to properly account for these correlations since the corresponding diffusion coefficients agree exactly with those derived by Henry. We show that in fact in the correct model the spontaneous emission noise and the carrier noise are driven by the same Wiener processes. Furthermore, we demonstrate that the nonzero correlation time of the physical noise affects the mean dynamics of both the electric field amplitude and the carrier number. We show that these are systematic corrections that can be described by additional drift terms in the model.

AB - We present a new stochastic differential equation model for the spontaneous emission noise and carrier noise in semiconductor lasers. The correlations between these two types of noise have often been neglected in recent studies of the effects of the noise on the laser dynamics. However, the classic results of Henry show that the intensity noise and the carrier noise are strongly negatively correlated. Our model demonstrates how to properly account for these correlations since the corresponding diffusion coefficients agree exactly with those derived by Henry. We show that in fact in the correct model the spontaneous emission noise and the carrier noise are driven by the same Wiener processes. Furthermore, we demonstrate that the nonzero correlation time of the physical noise affects the mean dynamics of both the electric field amplitude and the carrier number. We show that these are systematic corrections that can be described by additional drift terms in the model.

KW - Correlation

KW - Laser feedback

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KW - Semiconductor lasers

KW - Spontaneous emission

KW - stochastic processes

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