Time-domain ABCD matrix formalism for laser mode-locking and optical pulse transmission

Masataka Nakazawa, Hirokazu Kubota, Akio Sahara, Kohichi Tamura

Research output: Contribution to journalArticlepeer-review

45 Citations (Scopus)


ABCD matrix formalism in the time domain has ben newly developed on the basis of laser beam and resonator analyses which were developed under a Gaussian paraxial approximation. We derive matrix elements for amplitude and frequency modulations, group velocity dispersion, optical bandpass filter dispersion, and lumped self-phase modulation under a parabolic approximation. Applications to AM, FM, and stretched-pulse laser mode-locking are described by using these time-domain matrices. An application to pulse transmission in a dispersion-allocated system is also described.

Original languageEnglish
Pages (from-to)1075-1081
Number of pages7
JournalIEEE Journal of Quantum Electronics
Issue number7
Publication statusPublished - 1998 Jul
Externally publishedYes


  • ABCD matrix
  • Gauss beam propagation
  • Gaussian pulse propagation
  • Laser mode-locknig
  • Optical pulse transmission

ASJC Scopus subject areas

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


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