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3D Time-of-flight distance measurement with custom - Universität ...

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DEMODULATION PIXELS IN CMOS/CCD 133<br />

potential<br />

potential<br />

INTG PGL PGM PGR<br />

10V 0V<br />

5V<br />

0V<br />

5V 0V<br />

0V 5V 0V 5V<br />

5V 4V<br />

4V<br />

0V<br />

5V<br />

0V<br />

PGM=4V<br />

potential<br />

potential<br />

INTG PGL PGM PGR<br />

10V 0V<br />

5V<br />

0V<br />

5V 0V<br />

PGM=0V PGM=0V<br />

PGM=4V<br />

BCCD SCCD<br />

Figure 5.18 Influence <strong>of</strong> the PGM voltage on the demodulation contrast for BCCD<br />

and SCCD realizations.<br />

Saturation velocity<br />

We know that the velocity <strong>of</strong> charge carriers increases linearly <strong>with</strong> the applied<br />

electrical field only for small electrical fields. For higher fields the velocity reaches a<br />

saturation value (10 7 cm/s in silicon). Now we want to examine if the saturation<br />

velocity is already reached for a potential difference <strong>of</strong> 10 V between two adjacent<br />

gates.<br />

Estimation:<br />

Gate length: 6 µm<br />

Potential difference: 10 V<br />

Electrical field: 1.7⋅10 4 V/cm<br />

Doping concentration (BCCD): 4⋅10 16 cm -3 .<br />

Electron mobility @ doping concentration 10 3 cm 2 /Vs<br />

Saturation velocity vs<br />

10 7 cm/s<br />

µ ⋅E<br />

Drift velocity: v =<br />

µ ⋅E<br />

1+<br />

v<br />

0.63 ⋅ 10 7 cm/s = 0.63 ⋅ vs<br />

s

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