DETERMINATION OF THE ELECTRO-OPTICAL COEFFICIENTS OF BARIUM TITANATE

V. B. Shirokov; Широков В. Б.; P. E. Timoshenko; Тимошенко П. Е.; V. V. Kalinchuk; Калинчук В. В.

doi:10.31857/S2686740023030148

DETERMINATION OF THE ELECTRO-OPTICAL COEFFICIENTS OF BARIUM TITANATE

Authors: Shirokov V.B.¹^,2, Timoshenko P.E.², Kalinchuk V.V.¹
Affiliations:
1. Southern Scientific Center of the Russian Academy of Sciences
2. Southern Federal University
Issue: Vol 510, No 1 (2023)
Pages: 39-44
Section: ФИЗИКА
URL: https://journals.rcsi.science/2686-7400/article/view/135937
DOI: https://doi.org/10.31857/S2686740023030148
EDN: https://elibrary.ru/OZDZEV
ID: 135937

Cite item

Full Text

Open Access
Restricted Access

Access granted
Restricted Access

Subscription Access

Abstract
About the authors
References
Supplementary files
Statistics

Abstract

Within the framework of thermodynamic theory, a method for determining the electro-optical coefficients is proposed. It is shown that for all ferroelectrics whose symmetry admits a diagonal susceptibility, the ratio of some electro-optical coefficients is expressed in terms of the ratio of susceptibilities. For barium titanate, the dependence of the electrooptical coefficients on the electric field has been revealed and studied. It is shown that large values of the electro-optical coefficients of barium titanate are associated with a nonlinear dependence of the dielectric susceptibility on the electric field.

Keywords

electro-optic coefficient, phenomenological theory, barium titanate, Landau thermodynamic potential

References

Лайнс М., Гласс А. Сегнетоэлектрики и родственные им материалы. М.: Мир, 1981. 736 с.
Ярив А., Юх П. Оптические волны в кристаллах. М.: Мир, 1987. 616 с.
Салех Б., Тейх М. Оптика и фотоника. Принципы и применения. Т. 2. Долгопрудный: Интеллект, 2012. 784 с.
Alferness R.C. Waveguide Electrooptic Modulators // IEEE Transactions on Microwave Theory and Techniques. 1982. V. 30. P. 1121. https://doi.org/10.1109/TMTT.1982.1131213
Sinatkas G., Christopoulos T., Tsilipakos O., Kriezis E.E. Electro-optic modulation in integrated photonics // J. Appl. Phys. 2021. V. 130. P. 010901. https://doi.org/10.1063/5.0048712
Hisakado Y., Kikuchi H., Nagamura T., Kajiyama T. Large Electrooptic Kerr Effect in Polymer Stabilized Liquid Crystalline Blue Phases // Adv. Mater. 2005. V. 17. P. 96. https://doi.org/10.1063/1.4890031
Shen T.Z., Hong S.H., Song J.K. Electro-optical switching of graphene oxide liquid crystals with an extremely large Kerr coefficient // Nat. Mater. 2014. V. 13. P. 394. https://doi.org/10.1038/nmat3888
Karvounis A., Timpu F., Vogler-Neuling V.V., Savo R., Grange R. Barium Titanate Nanostructures and Thin Films for Photonics // Adv. Optical Mater. 2020. V. 8. P. 2001249. https://doi.org/10.1002/adom.202001249
Liu Y., Ren G., Cao T., Mishra R., Ravichandran J. Modeling temperature, frequency, and strain effects on the linear electro-optic coefficients of ferroelectric oxides // J. Applied Physics. 2022. V. 131. P. 163101. https://doi.org/10.1063/5.0090072
Li Y.L., Cross L.E., Chen L.Q. A phenomenological thermodynamic potential for BaTiO3 single crystals // J. Appl. Phys. 2005. V. 98. P. 064101 (1–4). https://doi.org/10.1063/1.2042528
Wang Y.L., Tagantsev A.K., Damjanovic D., Setter N., Yarmarkin V.K., Sokolov A.I., Lukyanchuk I.A. Landau thermodynamic potential for BaTiO3 // J. Appl. Phys. 2007. V. 101. P. 104115 (1–9). https://doi.org/10.1063/1.2733744
Scrymgeour D.A., Gopalan V. Phenomenological theory of a single domain wall in uniaxial trigonal ferroelectrics: lithium niobate and lithium tantalate // Physical Review B. 2005. V. 71. P. 184110. https://doi.org/10.1103/PhysRevB.71.184110
Liang L., Li Y.L., Chen L.Q., Hu S.Y., Lu G.H. A thermodynamic free energy function for potassium niobate // Appl. Phys. Lett. 2009. V. 94. P. 072904. https://doi.org/10.1063/1.3081418
Bell A.J., Cross L.E. A phenomenological Gibbs function for BaTiO3 giving correct e field dependence of all ferroelectric phase changes // Ferroelectrics. 1984. V. 59. P. 197–203. https://doi.org/10.1080/00150198408240090
Ma Z., Xi L., Liu H., Zheng F., Gao H., Chen Z., Chen H. Ferroelectric phase transition of BaTiO3 single crystal based on a tenth order Landau-Devonshire potential // Computational Materials Science. 2017. V. 135. P. 109–118. https://doi.org/10.1016/j.commatsci.2017.04.011
Berlincourt D., Jaffe H. Elastic and Piezoelectric Coefficients of Single-Crystal Barium Titanate // Phys. Rev. 1958. V. 111. P. 143. https://doi.org/10.1103/PhysRev.111.143
Shirokov V., Kalinchuk V., Shakhovoy R., Yuzyuk Y. Anomalies of piezoelectric coefficients in barium titanate thin films // EPL. 2014. V. 108. P. 47008. https://doi.org/10.1209/0295-5075/108/47008
Zgonik M., Bernasconi P., Duelli M., Schlesser R., Gunter P. Dielectric, elastic, piezoelectric, electro-optic, and elasto-optic tensors of BaTiO3 crystals // Phys. Rev. B. 1994. V. 50. P. 5941. https://doi.org/10.1103/PhysRevB.50.5941
Warner A.W., Onoe M., Coquin G.A. Determination of Elastic and Piezoelectric Constants for Crystals in Class (3m) // The Journal of the Acoustical Society of America. 1967. V. 42. P. 1223. https://doi.org/10.1121/1.1910709
Nikogosyan D.N. Nonlinear Optical Crystals: A Complete Survey. N.Y.: Springer, 2005. 427 p.
Bierlein J.D. Electrooptic and dielectric properties of KTiOPO4 // Appl. Physics Letters. 1986. V. 49. P. 917. https://doi.org/10.1063/1.97483
Wiesendanger E. Dielectric, mechanical and optical properties of orthorhombic KNbO3 // Ferroelectrics. 1974. V. 6. P. 263. https://doi.org/10.1080/00150197408243977
Широков В.Б., Мухортов В.М., Юзюк Ю.И. Релаксация поляризованных состояний в тонких пленках BST. Известия РАН. Серия физическая. 2012. Т. 76. № 7. С. 904–907. https://doi.org/10.3103/S1062873812070325