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Edwin Jan Klein - Universiteit Twente

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Chapter 4<br />

complex than the interaction at a wavelength of 3965 nm, as can be concluded from<br />

the many oscillations in this figure.<br />

Power/P In (dB)<br />

0<br />

-5<br />

-10<br />

-15<br />

Reflected<br />

Transmitted<br />

-20<br />

0 2 4 6 8<br />

Time (ps)<br />

Figure 4.41. Step responses of the transmitted and reflected light outside the bandgap at<br />

3965 nm.<br />

Power/P In (dB)<br />

0<br />

-20<br />

-40<br />

-60<br />

Power/P In (dB)<br />

2<br />

0<br />

-2<br />

-4<br />

-6<br />

-8<br />

-10<br />

1.4 1.6 1.8<br />

Time (ps)<br />

2.0 2.2<br />

0 2 4 6 8 10<br />

Time (ps)<br />

Figure 4.42. Step responses of the transmitted and reflected light in the middle of the<br />

bandgap at 4455 nm. Inset: a close-up of the reflected step response showing a slight signal<br />

overshoot.<br />

108<br />

Reflected<br />

Reflected<br />

Transmitted<br />

Interestingly the reflected light reflects more power than is put into the grating for a<br />

short duration, as is shown in the inset. This might be an actual physical effect as it<br />

was for instance also seen in a different simulation that used grating indices of 1.5 and<br />

4. However, none of the results of the time-domain simulations have currently been<br />

compared with the results of other simulation methods. The effect might therefore<br />

also be caused by unpredictable behavior of the simulation method used by Aurora,<br />

although this is not very likely.<br />

For reasons of simplicity only the time domain responses at the in- and output of the<br />

grating have been recorded using the two probes placed in these locations. However,<br />

the probes are just as easily inserted at different locations in the grating. This could be<br />

used for instance, to analyze slow light or other phenomena within the grating. As<br />

such Aurora might prove to be a valuable tool in examining this particular class of<br />

complex optical devices.

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