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Studies of piezooptic coefficients in LiNbO3 crystals using a crystalline disk compressed along its diameter 

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Vasylkiv Yu., Savaryn V., Smaga I., Krupych O., Skab I. and Vlokh R.

Abstract. We have suggested a highly precise method for determining piezooptic coefficients, which relies on a knowledge of 2D spatial distribution of mechanical stresses in a crystalline disk compressed along its diameter. Relevant theoretical relations that describe piezooptic effect in the crystals belonging to the point symmetry group 3m have been derived. The method has been successfully verified in the experiment dealing with LiNbO3 crystals.

Keywords: piezooptic effect, 2D distribution of mechanical stresses, crystalline disks, lithium niobate

PACS: 78.20.H-, 78.20.Ci, 07.10.Lw
UDC: 535.012
Ukr. J. Phys. Opt. 12 180-190
doi: 10.3116/16091833/12/4/180/2011
Received:  02.11.2011

Анотація. Ми запропонували новий, високоточний метод вимірювання п’єзооптичних коефіцієнтів, який базується на відомому 2D розподілі механічного напруження в кристалічному диску, стиснутому вздовж діаметра. Отримані відповідні теоретичні співвідношення, що описують п’єзооптичний ефект в кристалах, що належать до точкової групи симетрії 3m. Даний метод був експериментально перевірений з використанням кристалів LiNbO3. 
REFERENCES
  1. Narasimhamurty T S, Photoelastic and electrooptic properties of crystals. New York: Plenum Press (1981). 
  2. Brewster D, 1815. Experiments on the depolarization of light as exhibited by various mineral, animal and vegetable bodies with a reference of the phenomena to the general principle of polarization. Phil. Trans. Roy. Soc. Lond. 105: 29–53. doi:10.1098/rstl.1815.0004
  3. Brewster D, 1816. On the communication of the structure of doubly-refracting crystals to glass, murite of soda, flour spar, and other substances by mechanical compression and dilation. Phil. Trans. Roy. Soc. Lond. 106: 156–178.  doi:10.1098/rstl.1816.0011
  4. Vasylkiv Yu, Kvasnyuk O, Krupych O, Mys O, Maksymuk O and Vlokh R, 2009. Reconstruction of 3D stress fields basing on piezooptic experiment. Ukr. J. Phys. Opt. 10: 22–37. doi:10.3116/16091833/10/1/22/2009
  5. Mytsyk B, 2003. Methods for the studies of the piezo-optical effect in crystals and the analysis of experimental data. I. Methodology for the studies of piezo-optical effect. Ukr. J. Phys. Opt. 4: 1–26. doi:10.3116/16091833/4/1/1/2003
  6. Mytsyk B, 2003. Methods for the studies of piezooptic effect in crystals and analysis of the experimental data. II. Analysis of the experimental data. Ukr. J. Phys. Opt. 4: 105–118. doi:10.3116/16091833/4/3/105/2003
  7. Shaskolskaya M P, Acoustic crystals. Moscow: Nauka (1982). 
  8. Vasylkiv Yu, Savaryn V, Smaga I, Skab I and Vokh R, 2010. Determination of piezooptic coefficient   of LiNbO3 crystals under torsion loading. Ukr. J. Phys. Opt. 11: 156–164. doi:10.3116/16091833/11/3/156/2010
  9. Skab I, Vasylkiv Yu, Savaryn V and Vlokh R, 2010. Relations for optical indicatrix parameters in the conditions of crystal torsion. Ukr. J. Phys. Opt. 11: 193–240. doi:10.3116/16091833/11/4/193/2010
  10. Krupych O, Savaryn V, Skab I and Vlokh R, 2011. Interferometric measurements of piezooptic coefficients by means of four-point bending method. Ukr. J. Phys. Opt. 12: 150–159. doi:10.3116/16091833/12/3/150/2011
  11. Skab I, Smaga I, Savaryn V, Vasylkiv Y and Vlokh R, 2011. Torsion method for measuring piezooptic coefficients. Cryst. Res. Techn. 46: 23–36. doi:10.1002/crat.201000495
  12. Frocht M M, Photoelasticity. London: J. Wiley and Sons (1965). 
  13. Mytsyk D G, Andrushchak A S, Demyanyshyn N, Kost’ Ya P, Kityk A V, Mandracci P and Schranz W, 2009. Piezooptic coefficients of MgO-doped LiNbO3 crystals. Appl. Opt. 48: 1904–1911. doi:10.1364/AO.48.001904PMid:19340145
  14. Weis R S and Gaylord T K, 1985. Lithium niobate: summary of physical properties and crystal structure. Appl. Phys. A. 37: 191–203. doi:10.1007/BF00614817
  15. Skab I, Vasylkiv Y, Savaryn V and Vlokh R, 2011. Optical anisotropy induced by torsion stresses in LiNbO3 crystals: appearance of an optical vortex. J. Opt. Soc. Amer. A. 28: 633–640. doi:10.1364/JOSAA.28.000633
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