Solve the following problem:
Q: Thermal imagers have radiation detectors that are sensitive to a spectral region and provide white-black or color images with shading to indicate relative temperature differences in the scene. The imagers, which have appearances similar to a video camcorder, have numerous applications, such as for equipment maintenance to identify overheated motors or electrical transformers and for fire-fighting service to determine the direction of fire spread and to aid search and rescue for victims. The most common operating spectral regions are 3 to 5µm and 8 to 14µm. The selection of a particular region typically depends on the temperature of the scene, although the atmospheric conditions (water vapor, smoke. etc.) may also be important.
(a) Determine the band emission fractions for each of the spectral regions, 3 to 5µm and 8 to 14µm, for temperatures of 300 and 900 K.
(b) Using the IHT model builder Tools/Radiation/Band Emission Factor, calculate and plot the band emission factors for each of the spectral regions for the temperature range 300 to 1000 K. Identify the temperatures at which the fractions are a maximum. What conclusions can you draw from this graph concerning the choice of an imager for an application?
(c) The noise-equivalent temperature (NET) is a specification of the imager that indicates the minimum temperature change that can be resolved in the image scene. Consider imagers operating at the maximum-fraction temperatures identified in part (b). For each of these conditions, determine the sensitivity (%) required of the radiation detector in order to provide a NET of 5°C. Explain the significance of your results. Note: The sensitivity (% units) can be defined as the difference in the band emission fraction for two temperatures differing by the NET, divided by the band emission fraction at one of the temperatures.