A New Asymptotic Theory for the Periodically Forced Laser

Abstract

Sustained relaxation oscillations and irregular spiking have been observed in many periodically modulated lasers. These observations have been substantiated numerically by recent studies of the laser rate equations. In this paper, we propose a new asymptotic analysis of the laser equations which assumes that the laser oscillations correspond to relaxation oscillations. We identify a large parameter and construct these periodic solutions using perturbation techniques. We obtain the equations for the Poincare map and determine the first period doubling bifurcation.

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Document Details

Document Type
Technical Report
Publication Date
Feb 19, 1991
Accession Number
ADA232633

Entities

People

  • Ira B. Schwartz
  • Thomas Erneux

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Amplitude
  • Applied Mathematics
  • Differential Equations
  • Equations
  • Information Operations
  • Intensity
  • Lasers
  • Mathematics
  • Military Research
  • Nonlinear Dynamics
  • Nonlinear Optics
  • Observation
  • Oscillation
  • Perturbations
  • Steady State

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Pulsed Power and Plasma Physics.
  • Theoretical Analysis.

Technology Areas

  • Directed Energy