Master equation for spatio-temporal beam propagation and Kerr lens mode-locking

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

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

We present a novel spatio-temporal master equation (ME) for describing the evolution of optical fields in laser cavities. Our ME introduces a new type of propagation operator explicitly dependent on the ABCD elements of the cavity. We derive this and show that it correctly reproduces the cavity mode structure in the linear limit. We apply our ME to the problem of Kerr lens mode-locking (KLM) and show that our numerical results, in one dimension (x), are in excellent agreement with those found using the more conventional Huygens' integral method. Dispersion and other fast-time effects are then added to give a full spatio-temporal ME. Again this is applied to KLM and we show that stable soliton-like pulses result.

Original languageEnglish (US)
Pages (from-to)211-226
Number of pages16
JournalOptics Communications
Volume138
Issue number1-3
StatePublished - May 15 1997

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Laser mode locking
locking
Lenses
lenses
propagation
Laser resonators
Solitons
Laser pulses
cavities
laser cavities
solitary waves
operators
pulses

Keywords

  • ABCD
  • Kerr lens mode-locking
  • Master equation
  • Nonlinear propagation
  • Spatio-temporal

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Master equation for spatio-temporal beam propagation and Kerr lens mode-locking. / Dunlop, A. M.; Firth, W. J.; Wright, Ewan M.

In: Optics Communications, Vol. 138, No. 1-3, 15.05.1997, p. 211-226.

Research output: Contribution to journalArticle

Dunlop, A. M. ; Firth, W. J. ; Wright, Ewan M. / Master equation for spatio-temporal beam propagation and Kerr lens mode-locking. In: Optics Communications. 1997 ; Vol. 138, No. 1-3. pp. 211-226.
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