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Fiber Nonlinearities and Their Impact on Transmission Systems

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Self-Phase Modulati<strong>on</strong> (SPM)<br />

• The refracti<strong>on</strong> index of silica is weakly intensity<br />

dependent<br />

P<br />

n n + n ⋅<br />

• n 2 =2.6x10 -20<br />

m 2 /W for silica fibers<br />

• The n<strong>on</strong>linear refracti<strong>on</strong> index results in a phase<br />

change for the propagating light<br />

ΦNL = γPL e<br />

• γ is the n<strong>on</strong>linear coefficient. The phase change<br />

becomes significant when the power times the<br />

length of the system equals 1W-km<br />

2πn<br />

2<br />

γ =<br />

λ<br />

Tuesday, March 22, 2005<br />

=<br />

1 2<br />

A e<br />

A e<br />

12(32)

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