Time-domain master equation for pulse evolution and laser mode-locking

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

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Using the well-known analogy between the space and time domains we derive a temporal master equation (ME) operator which can be applied to any cavity containing dispersive and filtering elements, phase or amplitude modulators, and one nonlinear element. The cavity properties are described in terms of 2 × 2 'KIJL' matrices. We show that this ME correctly reproduces the cavity mode structure in the linear limit. Numerical simulation of an actively mode-locked Fabry-Perot laser with the nonlinear medium at an end mirror gives results in excellent agreement with those found using the more conventional Huygens' integral method. Using a simple perturbation approach based on the nonlinear Schrodinger equation (NLS) we also show that the field in this laser is soliton-like, and give analytic expressions for the soliton parameters.

Original languageEnglish (US)
Pages (from-to)1131-1146
Number of pages16
JournalOptical and Quantum Electronics
Volume32
Issue number10
DOIs
StatePublished - Oct 2000

Fingerprint

laser mode locking
Laser mode locking
Solitons
Laser pulses
Schrodinger equation
cavities
Lasers
Laser modes
solitary waves
pulses
Modulators
Mirrors
nonlinear equations
lasers
modulators
Computer simulation
mirrors
operators
perturbation
matrices

ASJC Scopus subject areas

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

Cite this

Time-domain master equation for pulse evolution and laser mode-locking. / Dunlop, A. M.; Firth, W. J.; Wright, Ewan M.

In: Optical and Quantum Electronics, Vol. 32, No. 10, 10.2000, p. 1131-1146.

Research output: Contribution to journalArticle

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