Spatial soliton laser

A. M. Dunlop; E. M. Wright; W. J. Firth

doi:10.1016/S0030-4018(97)00579-8

Spatial soliton laser

A. M. Dunlop, E. M. Wright, W. J. Firth

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

We show that the transverse field in a laser with intra-cavity Kerr lens may be approximated by a spatial soliton, and so the laser can be thought of as a "spatial soliton laser". Using a simple perturbation approach based on the nonlinear Schrödinger equation (NLS) we find analytical solutions which are in good agreement with numerical results from our master equation. This agreement is improved when we combine the soliton solution with a Gaussian dependent on the position of the Kerr lens. We discuss the limitations to the soliton perturbation theory. With appropriate placement, either a positive or a negative Kerr lens can induce spatial soliton laser action.

Original language	English (US)
Pages (from-to)	393-401
Number of pages	9
Journal	Optics Communications
Volume	147
Issue number	4-6
DOIs	https://doi.org/10.1016/S0030-4018(97)00579-8
State	Published - Feb 15 1998

Keywords

Master equation
Nonlinear propagation
Spatial soliton

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Physical and Theoretical Chemistry
Electrical and Electronic Engineering

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10.1016/S0030-4018(97)00579-8

Cite this

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title = "Spatial soliton laser",

abstract = "We show that the transverse field in a laser with intra-cavity Kerr lens may be approximated by a spatial soliton, and so the laser can be thought of as a {"}spatial soliton laser{"}. Using a simple perturbation approach based on the nonlinear Schr{\"o}dinger equation (NLS) we find analytical solutions which are in good agreement with numerical results from our master equation. This agreement is improved when we combine the soliton solution with a Gaussian dependent on the position of the Kerr lens. We discuss the limitations to the soliton perturbation theory. With appropriate placement, either a positive or a negative Kerr lens can induce spatial soliton laser action.",

keywords = "Master equation, Nonlinear propagation, Spatial soliton",

author = "Dunlop, {A. M.} and Wright, {E. M.} and Firth, {W. J.}",

note = "Funding Information: The support of EPSRC grant number GR/L 10918 is acknowledged. WJF and EMW acknowledge the support of a NATO collaborative grant. EMW is supported in part by US Air Force Office of Scientific Research contract F49620-94-1-0144DEF and by the Joint Services Optical Program. ",

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doi = "10.1016/S0030-4018(97)00579-8",

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T1 - Spatial soliton laser

AU - Dunlop, A. M.

AU - Wright, E. M.

AU - Firth, W. J.

N1 - Funding Information: The support of EPSRC grant number GR/L 10918 is acknowledged. WJF and EMW acknowledge the support of a NATO collaborative grant. EMW is supported in part by US Air Force Office of Scientific Research contract F49620-94-1-0144DEF and by the Joint Services Optical Program.

PY - 1998/2/15

Y1 - 1998/2/15

N2 - We show that the transverse field in a laser with intra-cavity Kerr lens may be approximated by a spatial soliton, and so the laser can be thought of as a "spatial soliton laser". Using a simple perturbation approach based on the nonlinear Schrödinger equation (NLS) we find analytical solutions which are in good agreement with numerical results from our master equation. This agreement is improved when we combine the soliton solution with a Gaussian dependent on the position of the Kerr lens. We discuss the limitations to the soliton perturbation theory. With appropriate placement, either a positive or a negative Kerr lens can induce spatial soliton laser action.

AB - We show that the transverse field in a laser with intra-cavity Kerr lens may be approximated by a spatial soliton, and so the laser can be thought of as a "spatial soliton laser". Using a simple perturbation approach based on the nonlinear Schrödinger equation (NLS) we find analytical solutions which are in good agreement with numerical results from our master equation. This agreement is improved when we combine the soliton solution with a Gaussian dependent on the position of the Kerr lens. We discuss the limitations to the soliton perturbation theory. With appropriate placement, either a positive or a negative Kerr lens can induce spatial soliton laser action.

KW - Master equation

KW - Nonlinear propagation

KW - Spatial soliton

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DO - 10.1016/S0030-4018(97)00579-8

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VL - 147

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EP - 401

JO - Optics Communications

JF - Optics Communications

SN - 0030-4018

IS - 4-6

ER -

Spatial soliton laser

Abstract

Keywords

ASJC Scopus subject areas

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