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Lens–fibre interference proposed to monitor a transparent sheet’s thickness variations

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Abstract

The lens–fibre interference (LFI) technique is used for monitoring thickness variations of a known refractive index transparent sheet. The sheet is inserted in the light path between the cylindrical lens and the fibre, in the LFI optical arrangement. A phase change and a geometrical shift for the beam passed through the sheet are observed. The presence of the sheet is considered in the ray tracing model which explained LFI (J. Opt. A: Pure Appl. Opt. 2:234–238, 2000). So, we are able to reproduce the interference pattern, in the presence of the sheet, theoretically. Depending on the width of the incident light spot on the cylindrical lens, a three beams interference could be observed. A development of the previous model is presented taking into account the third interfered beam. The produced interference pattern is a good indicator to the sheet’s thickness variations, especially when we considered the occurred three beams interference. Some investigations about the uncertainty analyses in our measurements are presented.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, Damietta University, Damietta, Egypt

    W. A. Ramadan, M. A. Shams El-Din, H. H. Wahba & A. S. El-Tawargy

  2. Department of Physics, Faculty of Science, Mansoura University, Mansoura, Egypt

    A. A. Hamza

Authors
  1. W. A. Ramadan
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  2. M. A. Shams El-Din
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  3. H. H. Wahba
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  4. A. S. El-Tawargy
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  5. A. A. Hamza
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Correspondence to A. S. El-Tawargy.

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Ramadan, W.A., Shams El-Din, M.A., Wahba, H.H. et al. Lens–fibre interference proposed to monitor a transparent sheet’s thickness variations. Appl. Phys. B 117, 1073–1080 (2014). https://doi.org/10.1007/s00340-014-5928-5

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  • DOI: https://doi.org/10.1007/s00340-014-5928-5

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