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M. SUMATHIProfessor and HeadDepartment of ECE
Dhirajlal Gandhi College of TechnologySalem
SOLITONS
CONTENTS
- Overview
Solitons – General definition
- Recorded by John Scott Russell in the
Scottish canals
- They are special kind of waves that can
propagate undistorted over long distance
and remain unaffected after collision with
each other
Optical Solitons
- In optical communication solitons are very
narrow, high intensity optical pulses that
retain their shape as they propagate due to
the interaction of
Group Velocity Dispersion (GVD) and
Self Phase Modulation (SPM)
Solitons- Principle
- Group Velocity Dispersion (GVD) causes pulse to broaden as they
propagate along the fiber
- Self Phase Modulation (SPM) is a non linear effect resulting from
Kerr nonlinearity, which causes frequency chirping
- If relative effects of GVD and SPM are controlled rightly, and the
right pulse shape chosen, compression due to SPM can compensate
the pulse broadening due to GVD, thus maintaining the shape of the
pulse
SPM
Effect of SPM on frequency
Gaussian Pulse Chirped Gaussian Pulse
Effect of SPM
Effect of SPM on frequency
Effect of GVD
Effect of GVD on a frequency chirped pulse
- Different frequency components of a pulse travel at slightly
different speeds along the fiber because of GVD
GVD parameter, β2 = (-1/Vg2) dVg / dω
i. when β2 < 0 (Anomalous region), dVg / dω is positive
- Therefore as frequency increases, velocity increases
- Leading edge is red shifted and travels slower, trailing edge travels
faster
- Hence, when narrow high intensity pulse travels in a medium with
negative GVD parameter, due to the effects of SPM and GVD the
pulse shape is retained
Effect of GVD
ii. when β2 > 0 (Normal region), dVg / dω is negative
- Therefore as frequency increases, velocity decreases
- Leading edge travels faster and trailing edge travels slower
- Hence, the pulse broadens further
Soliton pulse shape
Hyperbolic Secant function used for soliton pulses
Queries ???
THANK YOU