Polarization switching of light interacting with a degenerate two-level optical medium

Julie A. Byrne; Ildar R. Gabitov; Gregor Kovačič

doi:10.1016/S0167-2789(03)00245-8

Polarization switching of light interacting with a degenerate two-level optical medium

Julie A. Byrne, Ildar R. Gabitov, Gregor Kovačič

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

24 Scopus citations

Abstract

Polarization switching of light in a degenerate two-level medium, known as the Λ-configuration, is described. The polarization dynamics of light pulses is investigated by means of the inverse-scattering transform. The mathematical formalism of the inverse-scattering transform that takes into account the initial fluctuations of the medium polarization components corresponding to atomic transitions between the excited state and the two degenerate ground sub-levels in Λ-configuration atomic system is formulated. The characteristic switching length is evaluated via the physical parameters of the prepared medium and the optical pulse.

Original language	English (US)
Pages (from-to)	69-92
Number of pages	24
Journal	Physica D: Nonlinear Phenomena
Volume	186
Issue number	1-2
DOIs	https://doi.org/10.1016/S0167-2789(03)00245-8
State	Published - Dec 1 2003

Keywords

Degenerate two-level medium
Maxwell-Bloch equations
Polarization switching
Solitons

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/S0167-2789(03)00245-8

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title = "Polarization switching of light interacting with a degenerate two-level optical medium",

abstract = "Polarization switching of light in a degenerate two-level medium, known as the Λ-configuration, is described. The polarization dynamics of light pulses is investigated by means of the inverse-scattering transform. The mathematical formalism of the inverse-scattering transform that takes into account the initial fluctuations of the medium polarization components corresponding to atomic transitions between the excited state and the two degenerate ground sub-levels in Λ-configuration atomic system is formulated. The characteristic switching length is evaluated via the physical parameters of the prepared medium and the optical pulse.",

keywords = "Degenerate two-level medium, Maxwell-Bloch equations, Polarization switching, Solitons",

author = "Byrne, {Julie A.} and Gabitov, {Ildar R.} and Gregor Kova{\v c}i{\v c}",

note = "Funding Information: The authors thank D.J. Kaup, A.I. Maimistov, and A. Rahman for comments and discussions. Julie A. Byrne was partly supported by the NSF grants DMS-9502142 and DMS-9510728, and the DOE grant DE-FG02-93ER25154, Ildar R. Gabitov was partly supported by the NSF grant DMS-9510728 and the ARO-FE grant N62649-01-1-0002, Gregor Kova{\v c}i{\v c} was partly supported by the NSF grant DMS-9502142, the DOE grant DE-FG02-93ER25154, the ARO-FE grant N62649-01-1-0002, and an Alfred P. Sloan Research Fellowship. Gregor Kova{\v c}i{\v c} would like to express his gratitude to the faculty and staff of Courant Institute for hosting him during the academic year 2000/2001. ",

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doi = "10.1016/S0167-2789(03)00245-8",

language = "English (US)",

volume = "186",

pages = "69--92",

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T1 - Polarization switching of light interacting with a degenerate two-level optical medium

AU - Byrne, Julie A.

AU - Gabitov, Ildar R.

AU - Kovačič, Gregor

N1 - Funding Information: The authors thank D.J. Kaup, A.I. Maimistov, and A. Rahman for comments and discussions. Julie A. Byrne was partly supported by the NSF grants DMS-9502142 and DMS-9510728, and the DOE grant DE-FG02-93ER25154, Ildar R. Gabitov was partly supported by the NSF grant DMS-9510728 and the ARO-FE grant N62649-01-1-0002, Gregor Kovačič was partly supported by the NSF grant DMS-9502142, the DOE grant DE-FG02-93ER25154, the ARO-FE grant N62649-01-1-0002, and an Alfred P. Sloan Research Fellowship. Gregor Kovačič would like to express his gratitude to the faculty and staff of Courant Institute for hosting him during the academic year 2000/2001.

PY - 2003/12/1

Y1 - 2003/12/1

N2 - Polarization switching of light in a degenerate two-level medium, known as the Λ-configuration, is described. The polarization dynamics of light pulses is investigated by means of the inverse-scattering transform. The mathematical formalism of the inverse-scattering transform that takes into account the initial fluctuations of the medium polarization components corresponding to atomic transitions between the excited state and the two degenerate ground sub-levels in Λ-configuration atomic system is formulated. The characteristic switching length is evaluated via the physical parameters of the prepared medium and the optical pulse.

AB - Polarization switching of light in a degenerate two-level medium, known as the Λ-configuration, is described. The polarization dynamics of light pulses is investigated by means of the inverse-scattering transform. The mathematical formalism of the inverse-scattering transform that takes into account the initial fluctuations of the medium polarization components corresponding to atomic transitions between the excited state and the two degenerate ground sub-levels in Λ-configuration atomic system is formulated. The characteristic switching length is evaluated via the physical parameters of the prepared medium and the optical pulse.

KW - Degenerate two-level medium

KW - Maxwell-Bloch equations

KW - Polarization switching

KW - Solitons

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1-2

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Polarization switching of light interacting with a degenerate two-level optical medium

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