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Investigation of Cross-Phase Modulation in WDM Systems with AM ...

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(a)<br />

Normalised Standard Deviation (%)<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

1.7 0.9 0.6 0.5 0.4 0.32 Dl (nm)<br />

NRZ Duob<strong>in</strong>ary PSBT Dicode<br />

(b)<br />

Normalised Standard Deviation (%)<br />

4<br />

3<br />

2<br />

1<br />

0<br />

1.7 0.9 0.6 0.5 0.4 0.32 Dl (nm)<br />

NRZ Duob<strong>in</strong>ary PSBT Dicode<br />

Figure 1: XPM as function <strong>of</strong> wavelength separation <strong>with</strong> pump power <strong>of</strong> 10 dBm (note the 1/Dl scal<strong>in</strong>g<br />

<strong>of</strong> the horizontal axis).<br />

It is clearly seen that the <strong>in</strong>terference is almost proportional to 1/∆λ over the entire simulated<br />

wavelength range. The m<strong>in</strong>imum wavelength spac<strong>in</strong>g considered was 0. 3 nm. Note the significative<br />

decrease observed for NRZ, duob<strong>in</strong>ary and dicode signals when a rise and fall time was considered.<br />

Assum<strong>in</strong>g rise and fall times is equivalent to a strong attenuation <strong>of</strong> the secondaire lobes <strong>of</strong> the signal<br />

spectrum – a k<strong>in</strong>d <strong>of</strong> bandlimit<strong>in</strong>g effect that it is effective <strong>in</strong> extend<strong>in</strong>g the dispersion limit. The<br />

PSBT due to the fact that was generated by filter<strong>in</strong>g, which resulted <strong>in</strong> rounded signals, was<br />

unaffected <strong>in</strong> both situations. This latter modulation format yields a marg<strong>in</strong>al reduction <strong>of</strong> XPM<br />

impact compar<strong>in</strong>g to the other signals.<br />

Fig. 2 plots the dependence <strong>of</strong> XPM-<strong>in</strong>duced <strong>in</strong>tensity <strong>in</strong>terference on the pump signal power. Aga<strong>in</strong>,<br />

the standard deviation σ <strong>of</strong> the probe output <strong>in</strong>tensity, normalised to the average probe <strong>in</strong>tensity at the<br />

receiver, is the parameter considered as function <strong>of</strong> the signal <strong>in</strong>terfer<strong>in</strong>g average power.<br />

Normalised Standard Deviation<br />

(%)<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

(a)<br />

0 2 4 6 8 10 12 14 16<br />

Ppump (dBm)<br />

NRZ Duob<strong>in</strong>ary PSBT Dicode<br />

(b)<br />

Normalised Standard Deviation (%)<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

0 2 4 6 8 10 12 14 16<br />

Ppump (dBm)<br />

Figure 2: XPM as function <strong>of</strong> pump average power.<br />

NRZ Duob<strong>in</strong>ary PSBT Dicode

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