Model of Trough-Beam Laser Sensor for Determining the Real Position and Real Response Time

  • Mirosław WolskiEmail author
  • Tomasz Piątkowski
  • Przemysław Osowski
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 934)


In almost all industries the use of non-contact sensors to detect objects and their position has become necessary. The laser through-beam sensors is resistant to electromagnetic interference, inexpensive and relatively accurate. The only parameters of trough-beam laser sensor provided by the manufacturer to estimate the object position measurement error are maximal response time and laser beam spot dimension. With such data, the device allows for order of accuracy of 10−3 m, which is not sufficient for precision machines. With that in mind, this paper presents a model of laser through beam sensor using a transistor hybrid model developed to improve location detection accuracy. An object in motion was detected in the experiment at the velocity ranging from 0.5 to 10 m/s. The results of the experiment showed good compatibility of the experimental and model output characteristics. The actual object location was determined at the accuracy of 2.5 ∙ 10−5 m (0.5 m/s) to 2.6 ∙ 10−4 m (10 m/s).


Hybrid transistor equivalent circuit Object detection Convolution integral 


  1. 1.
    Omron, Notation and Terminology for Phototransistor Output. Accessed 30 May 2017
  2. 2.
    Panov, Y.: Small-signal analysis and control design of isolated power supplies with optocoupler feedback. IEEE Trans. Power Electron. 20(4), 823–832 (2005). Scholar
  3. 3.
    Vishay manufacturer. Accessed 30 May 2017
  4. 4.
    Hänsch, T.W., Träger, F.: Springer Handbook of Lasers and Optics. Springer, Heidelberg (2007). Scholar
  5. 5.
    Bakhsi, U.A., Godse, A.P.: Electronic circuits. Technical Publications Pune, Amit Residency, 412, Shaniwar Peth, Pune 411 030, India (2008)Google Scholar
  6. 6.
    Mayergoyz, I., Lawson, W.: Basic Electric Circuit Theory, 1st edn. Academic Press Hardcover (2012). ISBN: 9780124808652, eBook ISBN: 9780080572284Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Mirosław Wolski
    • 1
    Email author
  • Tomasz Piątkowski
    • 1
  • Przemysław Osowski
    • 1
  1. 1.Faculty of Mechanical EngineeringUTP University of Science and TechnologyBydgoszczPoland

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