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An algorithm for direct birefringence measurements using intensities of digital photoelastic patterns of fibres

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Abstract

In this article, we present a novel algorithm for digital analysis of the photoelastic patterns to provide direct birefringence measurements of fibres based on photoelastic intensities distribution. The validity of the introduced mathematical scheme is confirmed by comparing the calculated birefringence profile to the profile measured using the two-beam Pluta polarising interference microscope. The proposed method is applied to patterns of high (and low) birefringence gradients. This algorithm, with the aid of the single-frame computed tomography, is used to measure the 3D birefringence profile of necking in polymeric fibres. Also, a dynamic study of the mechanical behaviour of polymeric fibres is given. Digital photoelastic and two-beam interference patterns are included for illustration.

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Authors and Affiliations

  1. Department of Dental Biomaterials, Faculty of Oral and Dental Medicine, Delta University for Science and Technology, Gamasa, Egypt

    M. I. Raslan

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

    T. Z. N. Sokkar & A. A. Hamza

Authors
  1. M. I. Raslan
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  2. T. Z. N. Sokkar
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  3. A. A. Hamza
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Correspondence to M. I. Raslan.

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Raslan, M.I., Sokkar, T.Z.N. & Hamza, A.A. An algorithm for direct birefringence measurements using intensities of digital photoelastic patterns of fibres. Appl. Phys. B 128, 5 (2022). https://doi.org/10.1007/s00340-021-07728-0

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  • DOI: https://doi.org/10.1007/s00340-021-07728-0

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