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Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements

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Statistics of random lasing modes in weakly scattering systems.

Xiaohua Wu¹, Hui Cao

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

|November 3, 2007

Summary

We studied random lasing in colloidal solutions, finding distinct statistical behaviors between laser modes and amplified spontaneous emission. This reveals fundamental differences in their underlying physical mechanisms.

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Area of Science:

Optics and Photonics
Condensed Matter Physics
Materials Science

Background:

Random lasing in colloidal solutions is a complex phenomenon.
Understanding mode statistics is crucial for controlling laser output.
Local pumping introduces unique spatial dynamics.

Purpose of the Study:

Investigate the statistical properties of random lasing modes.
Differentiate lasing modes from amplified spontaneous emission (ASE).
Elucidate the distinct physical mechanisms governing these processes.

Main Methods:

Utilized local pumping in colloidal solutions.
Analyzed single-shot emission spectra.
Calculated ensemble-averaged spectral correlation functions.
Determined statistical distributions of emission intensities.

Main Results:

Observed regular oscillations in the spectral correlation function.
Identified a power-law decay in laser emission intensity statistics.
Found an exponential decay in ASE intensity statistics.
Highlighted significant statistical differences between lasing peaks and ASE spikes.

Conclusions:

The distinct statistical distributions confirm different generation mechanisms for random lasing and ASE.
Spectral correlations provide insights into mode behavior in disordered systems.
This research contributes to a deeper understanding of light-matter interactions in random lasers.