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handbook of modern sensors

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248 6 Occupancy and Motion Detectors<br />

(A)<br />

(B)<br />

Fig. 6.15. Far-infrared motion detector with a curved Fresnel lens and a pyroelectric PVDF<br />

film: (A) internal structure <strong>of</strong> the sensor; (B) external appearance <strong>of</strong> the sensor.<br />

sensor, first we must calculate the infrared power (flux), which is converted into an<br />

electric charge by the sensing element. The optical device focuses thermal radiation<br />

into a miniature thermal image on the surface <strong>of</strong> the sensor. The energy <strong>of</strong> an image<br />

is absorbed by the sensing element and is converted into heat. That heat, in turn, is<br />

converted by the pyroelectric crystalline element into a minute electric current.<br />

To estimate a power level at the sensor’s surface, let us make some assumptions.<br />

We assume that the moving object is a person whose effective surface area is b (Fig.<br />

6.16) and the temperature along this surface (T b ) is distributed uniformly and is<br />

expressed in Kelvin. The object is assumed to be a diffuse emitter (radiates uniformly<br />

within the hemisphere having a surface area <strong>of</strong> A = 2πL 2 ). Also, we assume that the<br />

focusing device makes a sharp image <strong>of</strong> an object at any distance. For this calculation,

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