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Investigation of Partially Polarized Isopachics Using a Rotating Polarizer

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Abstract

The light field at the output of the Mach–Zehnder interferometer, where one of its arms contains a birefringent sample and a rotating polarizer is placed at the output, has been investigated both theoretically and experimentally. Initially unpolarized light, after passing through the interferometer, becomes partially polarized and carries information about the sample points with equal sums of principal stresses, forming the isopachic field. Depending on the relative path difference at the considered point in the output light field, the degree of polarization varies from 0 to 1. Analyzing this phenomenon allows us to establish the relationship between the intensity of the outgoing light and the azimuth of the rotating polarizer, thereby enabling the determination of the directions of the main optical axes at each point of the birefringent sample, known as the isoclinic field.

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REFERENCES

  1. Kesaev, V.V., Isopachic method with unpolarized light, Tech. Phys. Lett., 2022, vol. 48, no. 11, p. 79–82. https://doi.org/10.21883/TPL.2022.11.54898.19360

    Article  ADS  Google Scholar 

  2. Kesaev, V.V., Kiselev, A.D., and Pozhidaev, E.P., Modulation of unpolarized light in planar aligned subwavelength-pitch deformed-helix ferroelectric liquid crystals, Phys. Rev. E, 2017, vol. 95, p. 032705. https://doi.org/10.1103/PhysRevE.95.032705

  3. Coker, E.G. and Filon, L.N.G., A Treatise on Photo-Elasticity, Cambridge: Univ. Press, 1931.

    MATH  Google Scholar 

  4. Frocht, M.M., Photoelasticity, New York: Wiley, 1948, vol. 1.

  5. Yun, H., Lei, Z, and Yun, D., Numerical simulation of isopachic parameter determined by phase-stepping interferometric photoelasticity, Chin. Opt. Lett., 2006, vol. 4, no. 3, pp. 164–166.

    ADS  Google Scholar 

  6. Gasvik, K., Separation of the isochromatics-isopachics patterns by use of retarders in holographic photoelasticity, Exp. Mech., 1976, vol. 16, pp. 146–150. https://doi.org/10.1007/BF02321109

    Article  Google Scholar 

  7. Kihara T., Kubo H., and Nagata R., Isopachics measurement using immersion method polarization holography, Appl. Opt., 1976, vol. 15, pp. 3025–3028. https://doi.org/10.1364/AO.15.003025

    Article  ADS  Google Scholar 

  8. Anthony, N., Cadenazzi, G., Kirkwood, H., Huwald, E., Nugent, K., and Abbey, B., A Direct approach to inplane stress separation using photoelastic ptychography, Sci. Rep., 2016, vol. 6, p. 30541.

    Article  ADS  Google Scholar 

  9. Zuo, C., Li, J., Sun, J., Fan, Y., Zhang, J., Lu, L., Zhang, R., Wang, B., Huang, L., and Chen, Q., Transport of intensity equation: a tutorial, Opt. Laser Eng., 2020, vol. 135, p. 106187. https://doi.org/10.1016/j.optlaseng.2020.106187

  10. Vavilov, S.I., Sobranie sochinenii (Collection of Works), Moscow: AN SSSR, 1952.

  11. Kiselev, A.D. and Kesaev, V.V, Interferometric and Uhlmann phases of mixed polarization states, Phys. Rev. A, 2018, vol. 98, p. 033816. https://doi.org/10.1103/PhysRevA.98.033816

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Funding

This study was in part supported by the Russian Science Foundation no. 20-71-10103.

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Correspondence to A. N. Lobanov.

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Kesaev, V.V., Lobanov, A.N. & Ambrozevich, S.A. Investigation of Partially Polarized Isopachics Using a Rotating Polarizer. Bull. Lebedev Phys. Inst. 50, 285–289 (2023). https://doi.org/10.3103/S1068335623070060

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  • DOI: https://doi.org/10.3103/S1068335623070060

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