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Fiber Nonlinearities and Their Impact on Transmission Systems

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Four-Phot<strong>on</strong> Mixing (FPM)<br />

• FPM is a third-order n<strong>on</strong>linearity caused<br />

by the n<strong>on</strong>linear refractive index of the<br />

fiber<br />

• Example: If two signals with the<br />

frequencies f 1 <str<strong>on</strong>g>and</str<strong>on</strong>g> f 2 are traveling in the<br />

fiber, two new cross products will appear,<br />

2f 1 -f 2 <str<strong>on</strong>g>and</str<strong>on</strong>g> 2f 2 -f 1 . (Compare with IM3 <str<strong>on</strong>g>and</str<strong>on</strong>g> IP3<br />

for electrical circuits)<br />

• The number of interfering products<br />

increase rapidly with the number of<br />

signals (N) as ½(N<br />

3 -N 2 )<br />

Tuesday, March 22, 2005<br />

17(32)

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