A position sensitive device and/or position sensitive detector (PSD) is an optical position sensor (OPS) that can measure a position of a light spot in one or two-dimensions on a sensor surface.
Principles PSDs can be divided into two classes which work according to different principles: In the first class, the sensors have an isotropic sensor surface that supplies continuous position data. The second class has discrete sensors in an raster-like structure on the sensor surface that supply local discrete data.
Isotropic Sensors
The technical term PSD was first used in a 1957 publication by J.T. Wallmark for lateral photoelectric effect used for local measurements. On a laminar semiconductor, a so-called PIN diode is exposed to a tiny spot of light. This exposure causes a change in local resistance and thus electron flow in four electrodes. From the currents I a {\displaystyle I_{a}} , I b {\displaystyle I_{b}} , I c {\displaystyle I_{c}} and I d {\displaystyle I_{d}} in the electrodes, the location of the light spot is computed using the following equations.
x = k x ⋅ I b − I d I b + I d {\displaystyle x=k_{x}\cdot {\frac {I_{b}-I_{d}}{I_{b}+I_{d}}}}
and
y = k y ⋅ I a − I c I a + I c {\displaystyle y=k_{y}\cdot {\frac {I_{a}-I_{c}}{I_{a}+I_{c}}}}
The k x {\displaystyle k_{x}} and k y {\displaystyle k_{y}} are simple scaling factors, which permit transformation into coordinates. An advantage of this process is the continuous measurement of the light spot position with measuring rates up to over 100 kHz. The dependence of local measurement on form and size of the light spot as well as the nonlinear connection are a disadvantage that can be partly compensated by special electrode shapes.
2-D tetra-lateral Position Sensitive Device (PSD)
A 2-D tetra-lateral PSD is capable of providing continuous position measurement of the incident light spot in 2-D. It consists of a single square PIN diode with a resistive layer. When there is an incident light on the active area of the sensor, photocurrents are generated and collected from four electrodes placed along each side of the square near the boundary. The incident light position can be estimated based on currents collected from the electrodes:
x = k x ⋅ I 4 − I 3 I 4 + I 3 {\displaystyle x=k_{x}\cdot {\frac {I_{4}-I_{3}}{I_{4}+I_{3}}}}
and
y = k y ⋅ I 2 − I 1 I 2 + I 1 {\displaystyle y=k_{y}\cdot {\frac {I_{2}-I_{1}}{I_{2}+I_{1}}}}
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