Comparative Study on Efficiency of Mirror Retroreflectors
Here we study retroreflectors based on specular reflections. Two kinds of asymptotically perfect specular retroreflectors in two dimensions, Notched angle and Tube, are known at present. We conduct comparative study of their efficiency, assuming that the reflection coefficient is slightly less than 1. We also compare their efficiency with the one of the retroreflector Square corner (the 2D analogue of the well-known and widely used Cube corner). The study is partly analytic and partly uses numerical simulations. We conclude that the retro-reflectivity ratio ofNotched angle is normally much greater than those of Tube and the Square corner. Additionally, simple Notched angle shapes are constructed, whose efficiency is significantly higher than that of the Square corner.
KeywordsRetroreflectors Geometric optics Shape optimization Billiards
Mathematics subject classifications49Q10 49M25 78A05
This work was supported by Portuguese funds through CIDMA– Center for Research and Development in Mathematics and Applications and FCT – Portuguese Foundation for Science and Technology, within the project PEst-OE/ MAT/ UI4106/ 2014, as well as by the FCT research project PTDC/ MAT/ 113470/ 2009.
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