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Random laser in one dimension.

A L Burin1, Mark A Ratner, H Cao

  • 1Department of Physics and Astronomy, Northwestern University, Evanston, IL 60208-3113, USA.

Physical Review Letters
|February 28, 2002
PubMed
Summary
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We developed an analytical method for random lasing in one-dimensional systems. The lasing threshold depends exponentially on system size due to transmission, with predicted strong fluctuations.

Area of Science:

  • Optics and Photonics
  • Condensed Matter Physics

Background:

  • Random lasing is a phenomenon observed in disordered media, crucial for developing novel laser sources.
  • Understanding the factors influencing the lasing threshold is key to optimizing laser performance.

Purpose of the Study:

  • To present an analytical approach for random lasing in one-dimensional systems.
  • To investigate the dependence of the lasing threshold on system size and light localization.
  • To explain the anomalous fluctuations in the lasing threshold observed in experiments.

Main Methods:

  • Analytical modeling of random lasing.
  • Transfer matrix numerical simulations.
  • Analysis of light transmission and localization in disordered media.

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Main Results:

  • The lasing threshold is determined by the transmission through the passive medium.
  • The threshold exhibits exponential dependence on the system size.
  • Strong three-dimensional localization of light can enhance lasing efficiency.
  • Anomalously strong fluctuations in the lasing threshold are predicted.

Conclusions:

  • The analytical approach accurately describes random lasing in one-dimensional systems.
  • System size and light transmission are critical factors for the lasing threshold.
  • The findings align with experimental observations of threshold fluctuations.