A Non-Perturbative Mode-Locking Theory of the Nyquist Laser with a Dirichlet Kernel Solution

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

A neatly repetitive train of sinc function pulses can be expressed as a Dirichlet kernel solution. By using a non-perturbative approach to derive the master equation of a Nyquist pulse laser, we succeeded in obtaining a repetitive sinc function solution with a Dirichlet kernel. A method employing non-perturbative expressions consisting of gain, loss, amplitude modulation, and a flat-top optical filter with edge enhancement was used to derive the master equation. The master equation consists of a set of integrations. We derived a new differential equation that satisfies a Dirichlet kernel function. We introduced the differential equation into the master equation as a new operator, and directly derived a Dirichlet function solution. We developed a new series method to describe the non-perturbative master equation, in which we derived the same constraints for successful mode locking as those for the integral master equation.

Original languageEnglish
Article number7498638
JournalIEEE Journal of Quantum Electronics
Volume52
Issue number8
DOIs
Publication statusPublished - 2016 Aug

Keywords

  • Dirichlet kernel
  • Mode-locked lasers
  • Nyquist pulse

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'A Non-Perturbative Mode-Locking Theory of the Nyquist Laser with a Dirichlet Kernel Solution'. Together they form a unique fingerprint.

Cite this