Multilevel maxwell-bloch-equation description of ultrashort laser pulse amplification in inhomogeneously broadened XeCl media

Fumihiko Kannari, Minoru Obara

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Abstract

Coherent amplification of short-pulse XeCl lasers is studied theoretically by using multilevel Maxwell-Bloch equations in which the vibrational-rotational structures of a XeCl gain spectrum are included. The model used considers 100 transitions each in the P and R branches for six different vibrational transitions of XeCl(B, v = 0) → XeCl(X, v’ = 0-5). Coherence components between sublevels in the B and X states are also properly calculated. The model can successfully predict coherent effects such as a quantum beat caused by the spectrum overlap of the several vibrational-rotational transitions involved in a short-pulse laser spectrum. During amplification, laser pulses experience some nonlinear effects caused by the complex gain spectrum structure and by the coherent interactions; thus a considerable change in the laser pulse shape and a substantial reduction in the duration of the amplified laser pulse are predicted. The Frantz-Nodvik equation in the rate-equation limit and even single-level Maxwell-Bloch equations are not applicable for short-pulse propagation analyses in inhomogeneously broadened gain media.

Original languageEnglish
Pages (from-to)1493-1506
Number of pages14
JournalJournal of the Optical Society of America B: Optical Physics
Volume7
Issue number8
DOIs
Publication statusPublished - 1990

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pulses
lasers
synchronism
propagation
interactions

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Statistical and Nonlinear Physics

Cite this

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title = "Multilevel maxwell-bloch-equation description of ultrashort laser pulse amplification in inhomogeneously broadened XeCl media",
abstract = "Coherent amplification of short-pulse XeCl lasers is studied theoretically by using multilevel Maxwell-Bloch equations in which the vibrational-rotational structures of a XeCl gain spectrum are included. The model used considers 100 transitions each in the P and R branches for six different vibrational transitions of XeCl(B, v = 0) → XeCl(X, v’ = 0-5). Coherence components between sublevels in the B and X states are also properly calculated. The model can successfully predict coherent effects such as a quantum beat caused by the spectrum overlap of the several vibrational-rotational transitions involved in a short-pulse laser spectrum. During amplification, laser pulses experience some nonlinear effects caused by the complex gain spectrum structure and by the coherent interactions; thus a considerable change in the laser pulse shape and a substantial reduction in the duration of the amplified laser pulse are predicted. The Frantz-Nodvik equation in the rate-equation limit and even single-level Maxwell-Bloch equations are not applicable for short-pulse propagation analyses in inhomogeneously broadened gain media.",
author = "Fumihiko Kannari and Minoru Obara",
year = "1990",
doi = "10.1364/JOSAB.7.001493",
language = "English",
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journal = "Journal of the Optical Society of America B: Optical Physics",
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TY - JOUR

T1 - Multilevel maxwell-bloch-equation description of ultrashort laser pulse amplification in inhomogeneously broadened XeCl media

AU - Kannari, Fumihiko

AU - Obara, Minoru

PY - 1990

Y1 - 1990

N2 - Coherent amplification of short-pulse XeCl lasers is studied theoretically by using multilevel Maxwell-Bloch equations in which the vibrational-rotational structures of a XeCl gain spectrum are included. The model used considers 100 transitions each in the P and R branches for six different vibrational transitions of XeCl(B, v = 0) → XeCl(X, v’ = 0-5). Coherence components between sublevels in the B and X states are also properly calculated. The model can successfully predict coherent effects such as a quantum beat caused by the spectrum overlap of the several vibrational-rotational transitions involved in a short-pulse laser spectrum. During amplification, laser pulses experience some nonlinear effects caused by the complex gain spectrum structure and by the coherent interactions; thus a considerable change in the laser pulse shape and a substantial reduction in the duration of the amplified laser pulse are predicted. The Frantz-Nodvik equation in the rate-equation limit and even single-level Maxwell-Bloch equations are not applicable for short-pulse propagation analyses in inhomogeneously broadened gain media.

AB - Coherent amplification of short-pulse XeCl lasers is studied theoretically by using multilevel Maxwell-Bloch equations in which the vibrational-rotational structures of a XeCl gain spectrum are included. The model used considers 100 transitions each in the P and R branches for six different vibrational transitions of XeCl(B, v = 0) → XeCl(X, v’ = 0-5). Coherence components between sublevels in the B and X states are also properly calculated. The model can successfully predict coherent effects such as a quantum beat caused by the spectrum overlap of the several vibrational-rotational transitions involved in a short-pulse laser spectrum. During amplification, laser pulses experience some nonlinear effects caused by the complex gain spectrum structure and by the coherent interactions; thus a considerable change in the laser pulse shape and a substantial reduction in the duration of the amplified laser pulse are predicted. The Frantz-Nodvik equation in the rate-equation limit and even single-level Maxwell-Bloch equations are not applicable for short-pulse propagation analyses in inhomogeneously broadened gain media.

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