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Gordon-Haus effect on dark solitons.

Y S Kivshar, M Haelterman, P Emplit

|October 16, 2009

Summary

The Gordon-Haus effect theory is applied to dark solitons. Random frequency shifts cause time jitter that is √2 times lower than for bright solitons, offering enhanced stability.

Area of Science:

Nonlinear optics
Soliton theory

Background:

The Gordon-Haus effect describes the growth of timing jitter in optical solitons due to amplified spontaneous emission.
Understanding soliton behavior is crucial for optical communications and data transmission.

Purpose of the Study:

To present the theory of the Gordon-Haus effect specifically for dark solitons.
To analytically compare the timing jitter of dark solitons with that of bright solitons under frequency shifts.

Main Methods:

Analytical derivation of the Gordon-Haus effect for dark solitons.
Mathematical comparison of timing jitter characteristics between dark and bright solitons.

Main Results:

A fundamental dark soliton subjected to a random frequency shift exhibits a time jitter √2 times lower than that of a bright soliton.

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The analytical framework confirms the reduced susceptibility of dark solitons to timing jitter.

Conclusions:

Dark solitons demonstrate superior timing stability compared to bright solitons in the context of the Gordon-Haus effect.
These findings have implications for designing more robust optical communication systems.