Solitons Mar. 1, 2018

+ Solitons (pp. 735-739): The effect of anomalous dispersion and positive nonlinearity cancel exactly.
Model by nonlinear [equation] equation (NSE)


Note: [equation] and [equation] is an envelope created by modulation & [equation] = power.
Soliton [equation] where dispersion length [equation] & [equation] (rad/W-m).
Soliton condition -- [equation].
Example on calculating soliton width

Soliton can be generated in a fiber system with any pulse providing that soliton condition is roughly satisfied. The outcome will be soliton plus noise which is detrimental to the system.
If a pulse with peak amplitude of [equation] is input to a system, an Nth order soliton will be generated. An Nth order soliton does not have a constant envelope, instead [equation] is periodically evolving.

+ Recap important soliton parameters: [equation] should be constant (enemy: attenuation)
Soliton should move steadily (enemy: timing jitter from soliton collisions)
Soliton should have constant phase and energy (enemy: soliton interaction within collision length)

Last Modified: February 26, 2018
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