Ukrainian Journal of Physical Optics


2026 Volume 27, Issue 2


ISSN 1816-2002 (Online), ISSN 1609-1833 (Print)

EXTREME VALUES OF PHOTOELASTIC EFFECTS IN BTAS AND BTGS CRYSTALS

N. Demyanyshyn, B. Mytsyk, O. Lishchuk, P. Solomenchuk and A. Andrushchak

Author Information
1Demyanyshyn, N. ORCID logo SCOPUS logo, 1Mytsyk, B. ORCID logo SCOPUS logo, 2Lishchuk, O. SCOPUS logo, 2Solomenchuk, P. SCOPUS logo, 2Andrushchak, A. ORCID logo SCOPUS logo
1Karpenko Physico-Mechanical Institute, 5 Naukova Str., 79601, Lviv, Ukraine
2Lviv Polytechnic National University, 12 Bandery Str., 79046, Lviv, Ukraine

ABSTRACT

Abstract. Indicative surfaces (ISs) of the spatial distribution of piezo-optic and elasto-optic effects (POE and ELOE) in Ba3TaAl3Si2O14 (BTAS) and Ba3TaGa3Si2O14 (BTGS) langasite-type crystals were constructed based on piezo-optic πim and elasto-optic pin coefficient matrices obtained from first-principles calculations. We presented relations for the ISs of longitudinal and transverse POE and ELOE, as well as relations for the ELOE induced by shear strains. It is shown that the POE and ELOE properties of BTAS and BTGS crystals are essentially anisotropic, while the largest values of the transverse ELOE of BTAS and BTGS crystals (0.213 and 0.209, respectively) do not coincide with the directions of the crystallophysical axes of these crystals. According to these ELOE values, these crystals exceed other langasite-group crystals, La3Ga5SiO14 (LGS) and Сa3TaGa3Si2O14 (СTGS), by a factor of 2-3. For all the above crystals, ELOE surfaces induced by shear strains have been constructed. The maximum values of these surfaces (0.108-0.131) are nearly two times lower than the maxima of the transverse ELOE in BTAS and BTGS crystals, but the acousto-optic efficiency can be relatively high due to the low acoustic-wave velocities caused by shear strains.

Keywords: photoelasticity, quantum-mechanical calculation, langasite-group crystals, indicative surfaces

UDC: 535.551

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    Вказівні поверхні (ВП) просторового розподілу п'єзооптичнного та пружнооптичного ефектів (ПОЕ та ПрОЕ) у кристалах типу лангаситу Вa3TaAl3Si2O14 (BTAS) та Вa3TaGa3Si2O14 (ВTGS) були побудовані на основі матриць п'єзооптичних πim та пружнооптичних pin коефіцієнтів, отриманих із розрахунків з перших принципів. Ми представили співвідношення для ВП поздовжнього та поперечного ПОЕ та ПрОЕ, а також співвідношення для ПрОЕ, індукованого деформаціями зсуву. Показано, що властивості ПОЕ та ПрОЕ кристалів BTAS та BTGS є суттєво анізотропними, а найбільші значення поперечного ПрОЕ кристалів BTAS та BTGS (0,213 та 0,209 відповідно) не збігаються з напрямками кристалофізичних осей цих кристалів. Згідно із вказаними значеннями ПрОЕ ці кристали переважають інші кристали групи лангаситу, La3Ga5SiO14 (LGS) та Сa3TaGa3Si2O14 (СTGS), у 2-3 рази. Для всіх вищезазначених кристалів були побудовані поверхні ПрОЕ, індуковані зсувними деформаціями. Максимальні значення цих поверхонь (0,108-0,131) практично вдвічі поступаються максимумам поперечного ПрОЕ кристалів ВTAS та ВTGS, але акустооптична ефективність може бути відносно високою завдяки низьким швидкостям акустичних хвиль, які зумовлені зсувними деформаціями.

    Ключові слова: фотопружність, квантово-механічний розрахунок, кристали групи лангаситу, вказівні поверхні

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