Photoelastic Properties of Trigonal Crystals
All possible experimental geometries of the piezo-optic effect in crystals of trigonal symmetry are studied in detail through the interferometric technique, and the corresponding expressions for the calculation of piezo-optic coefficients (POCs) <i>π<sub>im</sub></i> and some...
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MDPI AG
2021-09-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/11/9/1095 |
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| author | Bohdan Mytsyk Nataliya Demyanyshyn Anatoliy Andrushchak Oleh Buryy |
| author_facet | Bohdan Mytsyk Nataliya Demyanyshyn Anatoliy Andrushchak Oleh Buryy |
| author_sort | Bohdan Mytsyk |
| collection | DOAJ |
| description | All possible experimental geometries of the piezo-optic effect in crystals of trigonal symmetry are studied in detail through the interferometric technique, and the corresponding expressions for the calculation of piezo-optic coefficients (POCs) <i>π<sub>im</sub></i> and some sums of <i>π<sub>im</sub></i> based on experimental data obtained from the samples of direct and <i>X</i>/45°-cuts are given. The reliability of the values of POCs is proven by the convergence of <i>π<sub>im</sub></i> obtained from different experimental geometries as well as by the convergence of some sums of POCs. Because both the signs and the absolute values of POCs <i>π</i><sub>14</sub> and <i>π</i><sub>41</sub> are defined by the choice of the right crystal-physics coordinate system, we here use the system whereby the condition <i>S</i><sub>14</sub> <i>></i> 0 is fulfilled (<i>S</i><sub>14</sub> is an elastic compliance coefficient). The absolute value and the sign of <i>S</i><sub>14</sub> are determined by piezo-optic interferometric method from two experimental geometries. The errors of POCs are calculated as mean square values of the errors of the half-wave stresses and the elastic term. All components of the matrix of elasto-optic coefficients <i>p<sub>in</sub></i> are calculated based on POCs and elastic stiffness coefficients. The technique is tested on LiTaO<sub>3</sub> crystal. The obtained results are compared with the corresponding data for trigonal LiNbO<sub>3</sub> and Ca<sub>3</sub>TaGa<sub>3</sub>Si<sub>2</sub>O<sub>14</sub> crystals. |
| first_indexed | 2024-03-10T07:46:42Z |
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| id | doaj.art-aa0d013c123a44b9b21cc60205039a5a |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-10T07:46:42Z |
| publishDate | 2021-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-aa0d013c123a44b9b21cc60205039a5a2023-11-22T12:35:49ZengMDPI AGCrystals2073-43522021-09-01119109510.3390/cryst11091095Photoelastic Properties of Trigonal CrystalsBohdan Mytsyk0Nataliya Demyanyshyn1Anatoliy Andrushchak2Oleh Buryy3Optical Department, Karpenko Physico-Mechanical Institute of NAS of Ukraine, Naukova str. 5, 79060 Lviv, UkraineOptical Department, Karpenko Physico-Mechanical Institute of NAS of Ukraine, Naukova str. 5, 79060 Lviv, UkraineDepartment of Applied Physics and Nanomaterials Science, Lviv Polytechnic National University, Bandery str. 12, 79013 Lviv, UkraineDepartment of Semiconductor Electronics, Lviv Polytechnic National University, Bandery str. 12, 79013 Lviv, UkraineAll possible experimental geometries of the piezo-optic effect in crystals of trigonal symmetry are studied in detail through the interferometric technique, and the corresponding expressions for the calculation of piezo-optic coefficients (POCs) <i>π<sub>im</sub></i> and some sums of <i>π<sub>im</sub></i> based on experimental data obtained from the samples of direct and <i>X</i>/45°-cuts are given. The reliability of the values of POCs is proven by the convergence of <i>π<sub>im</sub></i> obtained from different experimental geometries as well as by the convergence of some sums of POCs. Because both the signs and the absolute values of POCs <i>π</i><sub>14</sub> and <i>π</i><sub>41</sub> are defined by the choice of the right crystal-physics coordinate system, we here use the system whereby the condition <i>S</i><sub>14</sub> <i>></i> 0 is fulfilled (<i>S</i><sub>14</sub> is an elastic compliance coefficient). The absolute value and the sign of <i>S</i><sub>14</sub> are determined by piezo-optic interferometric method from two experimental geometries. The errors of POCs are calculated as mean square values of the errors of the half-wave stresses and the elastic term. All components of the matrix of elasto-optic coefficients <i>p<sub>in</sub></i> are calculated based on POCs and elastic stiffness coefficients. The technique is tested on LiTaO<sub>3</sub> crystal. The obtained results are compared with the corresponding data for trigonal LiNbO<sub>3</sub> and Ca<sub>3</sub>TaGa<sub>3</sub>Si<sub>2</sub>O<sub>14</sub> crystals.https://www.mdpi.com/2073-4352/11/9/1095piezo-optic effectelasto-optic effectinterferometric methodlithium tantalatelithium niobatecatangasite |
| spellingShingle | Bohdan Mytsyk Nataliya Demyanyshyn Anatoliy Andrushchak Oleh Buryy Photoelastic Properties of Trigonal Crystals Crystals piezo-optic effect elasto-optic effect interferometric method lithium tantalate lithium niobate catangasite |
| title | Photoelastic Properties of Trigonal Crystals |
| title_full | Photoelastic Properties of Trigonal Crystals |
| title_fullStr | Photoelastic Properties of Trigonal Crystals |
| title_full_unstemmed | Photoelastic Properties of Trigonal Crystals |
| title_short | Photoelastic Properties of Trigonal Crystals |
| title_sort | photoelastic properties of trigonal crystals |
| topic | piezo-optic effect elasto-optic effect interferometric method lithium tantalate lithium niobate catangasite |
| url | https://www.mdpi.com/2073-4352/11/9/1095 |
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