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Kramers–Kronig relations in modulation polarimetry diagnostics of glass-ceramics

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Abstract

It has been found that, in an aluminosilicate glass-ceramic sample cut from a massive ingot, there is a correlation of the residual stress with the temperature gradient. The magnitude and coordinate dependence of the stress along the temperature gradient have been determined from the stress-induced linear birefringence measured by the modulation polarimetry technique. Its functional relationship has been established in the form of the Poisson equation with the heterogeneity of the composition due to the preparation conditions. It has been shown that, in the absence of a temperature gradient, the birefringence and dichroism related by the Kramers–Kronig relation play the role of thermodynamic variables.

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References

  1. J. N. Sneddon and D. S. Berry, The Classical Theory of Elasticity (Springer-Verlag, Berlin, 1958).

    MATH  Google Scholar 

  2. W. Nowacki, Dynamiczne Zagadnienia Termosprezystosti (Naukowe, Warszawa, 1966).

    Google Scholar 

  3. L. I. Berezhinsky, I. L. Berezhinsky, O. N. Grigorev, B. K. Serdega, and V. A. Ukhimchuk, J. Eur. Ceram. Soc. 27, 2513 (2007).

    Article  Google Scholar 

  4. I. E. Matyash, I. A. Minailova, O. N. Mishchuk, and B. K. Serdega, Phys. Solid State 55 (5), 1087 (2013).

    Article  ADS  Google Scholar 

  5. B. K. Serdega, Ye. F. Venger, and Ye. V. Nikitenko, Semicond. Phys., Quantum Electron. Optoelectron. 2, 153 (1999).

    Google Scholar 

  6. R. Feynman, R. Leighton, and M. Sands, The Feynman Lectures on Physics (Addison-Wesley, Reading, Massachusetts, United States, 1964), Vol. 5, p. 242.

    MATH  Google Scholar 

  7. V. R. Mastelaro and E. D. Zanotto, J. Non-Cryst. Solids 194 (1996) 297 (1996).

    Article  ADS  Google Scholar 

  8. Schott Tech. Inf. TIE-27: Stress Opt. Glass (July 2004).

  9. S. Karlsson and B. Jonson, Glass Technol.: Eur. J. Glass Sci. Technol. A 51 (2), 41 (2010).

    Google Scholar 

  10. J. R. Pinky, S. Islam, N. K. Alam, M. A. Hossain, and R. Islam, Mater. Sci. Appl. 5, 223 (2014).

    Google Scholar 

  11. E. G. Cocer and L. N. G. Filon, A Treatise on Photoelasticity (Cambridge University Press, London, 1931).

    MATH  Google Scholar 

  12. R. J. Greene and E. A. Patterson, Exp. Mech. 46, 19 (2006).

    Article  Google Scholar 

  13. B. K. Serdega, Inventors Certificate no. 19983A (1997).

  14. Colored Optical Glass and Special Glasses: A Catalog, Ed. by G. T. Petrovskii (Dom Optiki, Moscow, 1990) [in Russian].

  15. R. de L. Kronig, J. Opt. Soc. Am. 12, 547 (1926).

  16. H. A. Kramers, Atti Congr. Int. Fis. 2, 545 (1927).

    Google Scholar 

  17. ISO 7884-8. Glass–Viscosity and Viscometric Fixed Points. Determination of (Dilatometric) Transformation Temperature (American National Standards Institute (ANSI), Washington, 1987).

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Correspondence to B. K. Serdega.

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Original Russian Text © B.V. Dudar, I.E. Matyash, I.A. Minailova, O.N. Mishchuk, B.K. Serdega, 2016, published in Fizika Tverdogo Tela, 2016, Vol. 58, No. 10, pp. 1995–2000.

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Dudar, B.V., Matyash, I.E., Minailova, I.A. et al. Kramers–Kronig relations in modulation polarimetry diagnostics of glass-ceramics. Phys. Solid State 58, 2068–2073 (2016). https://doi.org/10.1134/S1063783416100140

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  • DOI: https://doi.org/10.1134/S1063783416100140

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