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Physical limits to broadening compensation in a linear slow light system
Miguel Gonzalez-Herraez1, Luc Thévenaz
1Department of Electronics, University of Alcalá, Alcalá de Henares 28805 Spain. miguelg@depeca.uah.es
Optics Express
|March 19, 2009
Summary
Pulse broadening in slow light systems limits signal delay. This study proves gain and dispersion cannot compensate, and low-pass filtering inherently causes broadening, setting physical limits to compensation.
Area of Science:
- Photonics and Optical Engineering
- Signal Processing
- Quantum Optics
Background:
- Slow light systems offer significant signal delay but suffer from pulse broadening due to dispersion.
- Existing research aims to mitigate distortion in linear slow light systems, with some claiming zero-broadening.
- Pulse broadening limits the achievable delay in slow light applications.
Purpose of the Study:
- To establish fundamental physical limits to pulse broadening compensation in linear slow light systems.
- To analyze the interplay between gain, dispersion, and spectral filtering on pulse width.
- To rigorously demonstrate inherent limitations using time-frequency analysis.
Main Methods:
- Fourier analysis was employed to investigate signal dispersion and broadening.
- A shape-independent definition of pulse width (root-mean-square temporal width) was utilized.
- Time-frequency analysis principles were applied to derive theoretical limitations.
Main Results:
- Gain and dispersion broadening cannot be fully compensated in linear slow light systems.
- Linear slow light systems exhibiting low-pass filtering inevitably lead to pulse broadening.
- The spectral width reduction (low-pass filtering) is shown to be a fundamental cause of broadening.
Conclusions:
- Fundamental physical limitations exist for achieving distortion-free slow light.
- Gain and dispersion compensation strategies are insufficient to overcome inherent broadening mechanisms.
- Signal processing techniques that reduce spectral width will always result in pulse broadening in these systems.
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