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

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SOLID-STATE IMAGE SENSING 65<br />

Figure 3.12 Mobility, lifetime and diffusion length <strong>of</strong> minority carriers versus<br />

impurity concentration in silicon. [SZ1, WON].<br />

Drift in an electric field<br />

When an electric field E is applied to a semiconductor sample, each electron will<br />

experience a force -q⋅E from the field and will be accelerated along the field (in the<br />

opposite direction) until it comes to a collision <strong>with</strong> the lattice atoms or impurity<br />

atoms. An additional velocity called the drift velocity will therefore be superimposed<br />

upon the random thermal motion <strong>of</strong> electrons. For low electrical fields E this mean<br />

drift velocity vn <strong>of</strong> free electrons is given by:<br />

vn n<br />

= −µ<br />

⋅ E<br />

Equation 3.10

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