Andrushchak Anatoliy S, Yurkevych Oleh V, Strychalyuk Bogdan M, Klymash Mykhailo M, Rusek Andrzej, Kityk Andriy V
Faculty of Electrical Engineering, Institute for Computer Science, Czestochowa University of Technology, Czestochowa, Poland.
Appl Opt. 2013 Jun 1;52(16):3757-63. doi: 10.1364/AO.52.003757.
In this paper we describe the methodology behind the calculation of the indicative surfaces (ISs) of the electric-field-induced optical path length change (EFIOPC) in anisotropic crystal materials accounting for the piezoelectric deformation. It is considered in detail for a particular case of 3m point group symmetry and applied to LiNbO(3) single crystals doped with 7 mol. % MgO (hereafter LiNbO(3):MgO). The contribution of the inverse piezoelectricity into EFIOPC appears to be considerable and, in many cases, modifying, for instance, the spherical coordinates of the extreme directions or even leading to the appearance of new directional maxima on relevant ISs. The ISs of EFIOPC are of considerable practical importance as they allow us to determine an optimal geometry for electro-optic coupling. The spatial anisotropic analysis of EFIOPC in LiNbO(3):MgO crystals suggests that the lowest effective driving voltage is provided by electro-optic cells representing the rectangular slabs of X/50° crystal cut. The modulation efficiency of such electro-optic cells is about 1.5 times better than ones fabricated in the usual way (i.e., as rectangular crystal slabs with the faces parallel to the principal crystallographic directions).
在本文中，我们描述了计算各向异性晶体材料中考虑压电变形的电场诱导光程长度变化（EFIOPC）指示面（ISs）背后的方法。针对3m点群对称性的特定情况进行了详细考虑，并应用于掺杂7摩尔％MgO的LiNbO(3) 单晶（以下简称LiNbO(3):MgO）。逆压电性对EFIOPC的贡献似乎相当大，并且在许多情况下会产生影响，例如改变极值方向的球坐标，甚至导致相关ISs上出现新的方向最大值。EFIOPC的ISs具有相当大的实际重要性，因为它们使我们能够确定电光耦合的最佳几何形状。对LiNbO(3):MgO晶体中EFIOPC的空间各向异性分析表明，代表X/50°晶体切割矩形板的电光单元提供了最低的有效驱动电压。这种电光单元的调制效率比以常规方式制造的电光单元（即作为面平行于主晶向的矩形晶体板）高出约1.5倍。
