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Fiber Nonlinearities and Their Impact on Transmission Systems

Fiber Nonlinearities and Their Impact on Transmission Systems

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An Overview of <str<strong>on</strong>g>Fiber</str<strong>on</strong>g> <str<strong>on</strong>g>N<strong>on</strong>linearities</str<strong>on</strong>g><br />

• N<strong>on</strong>linear interacti<strong>on</strong>s between two signals in a<br />

fiber can be expressed by the change in the<br />

electric field of <strong>on</strong>e of the signals caused by the<br />

other<br />

E ( z + dz)<br />

= E1(<br />

z)exp[(<br />

−α<br />

/ 2 + ik)<br />

dz + gP2<br />

( z)<br />

dz / 2A<br />

1 e<br />

Where α is the loss coefficient, g is the frequency-<br />

dependent gain coefficient of the n<strong>on</strong>linear<br />

process, <str<strong>on</strong>g>and</str<strong>on</strong>g> A e is the effective area of the fiber<br />

• For more complex situati<strong>on</strong>s the n<strong>on</strong>linear<br />

Schrödinger equati<strong>on</strong> needs to be solved<br />

]<br />

Tuesday, March 22, 2005<br />

7(32)

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