Comparative Study on Efficiency of Mirror Retroreflectors

  • João Pedro CruzEmail author
  • Alexander Plakhov
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 499)


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.


Retroreflectors Geometric optics Shape optimization Billiards 

Mathematics subject classifications

49Q10 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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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Universidade de AveiroAveiroPortugal

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