Precise determination of full matrix of piezo-optic coefficients with a four-point bending technique: the example of lithium niobate crystals

Abstract

A recently proposed technique representing a combination of digital imaging laser interferometry with a classical four-point bending method is applied to a canonical nonlinear optical crystal, LiNbO₃, to precisely determine a full matrix of its piezo-optic coefficients (POCs). The contribution of a secondary piezo-optic effect to the POCs is investigated experimentally and analyzed theoretically. Based on the POCs thus obtained, a full matrix of strain-optic coefficients (SOCs) is calculated and the appropriate errors are estimated. A comparison of our experimental errors for the POCs and SOCs with the known reference data allows us to claim the present technique as the most precise.

Refined measurements of piezooptic coefficient pi66 for the lithium niobate crystals, using a crystalline disk compressed along its diameter

“…We have calculated the mean POC and the corresponding error from the four values given above:  66  = -0.5080.049 B. The confidence interval [-0.459; -0.557] complies well with both the result reported in the work by Mytsyk et al [19] ( 66 = -0.47 B) and the value measured by means of the four-point bending method [17] ( 66 = -0.5730.079 B). This implies that the experimental technique for measuring POCs based upon diametrically compressed disks is reliable and could be successfully used to study crystalline and amorphous (glass) optical materials.…”

“…They make use of the loading methods which give rise to non-uniform, though known in advance, stress distributions in a sample. These are a measuring technique based on crystal torsion [12][13][14], a combination of digital imaging laser interferometry with a classical four-point bending method [15][16][17], and a technique based on compressing of crystalline disks along their diameters [18].…”

“…[19] (~ 15%), as well as some peculiarities of their experimental procedures concerned with accounting for the Poisson strain in a sample and piezoelectric contribution into the optical retardation. However, some time later a full POC matrix for the LN has been measured with the method based on the four-point bending [17]. According to that study performed also by our scientific group, the POC under interest is equal to…”

Piezooptic coefficients and acoustooptic efficiency of TGS crystals

“…At the same time, the data of Table 1 testifies that the coefficients π 13 , π 22 and π 33 are relatively large. These POCs are higher than those measured for such well-known AO materials as GaP (the maximal POC being equal to 1.44 Br [15]), LiNbO 3 ( 2.1 Br [14,19]), β-BaB 2 O 4 (3.7 Br [20]) and crystalline quartz (3.11 Br [21]). Now we consider the piezooptic efficiency of TGS, which determines practical possibilities for its applications for photoelastic light modulation cells and photoelastic pressure sensors [14,15].…”

Адаптивный Фотоприемник На Основе Эффекта Нестационарной Фото-Эдс В Задачах Регистрации Упругих Деформаций И Напряжений

“…Так как тензоры упругих деформаций и напряжений связаны друг с другом посредством зако-на Гука, дополнительный набег фазы света полностью определяется полем механических напряжений (дефор-маций). Различают две задачи: вычисление компонент тензора пьезооптических коэффициентов по известному полю напряжений в кристалле [35] и расчет напряжений в веществе с известными свойствами [33]. В зависимости от выбора задачи может потребоваться измерение двух и более распределений фазы, аналогичных представлен-ному на рис.…”