The characteristics of a polygon scan wheel in a thermal imaging system will be derived from equations involving system optical requirements. Quantities such as scan wheel radius, number of facets, wheel position, and resulting beam wander will be related to system characteristics such as aperture diameter, field of view, and scan efficiency. This will lead to a methodology whereby, for a given set of system requirements, a small set of optimal candidate designs can be generated. The packaging and cost requirements can then determine which candidate is most suitable for the application.
Richard R. Smith,
"Characterization of rotary scan wheels in thermal imaging systems", Proc. SPIE 3482, International Optical Design Conference 1998, (21 September 1998); doi: 10.1117/12.322060; https://doi.org/10.1117/12.322060