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Effective second-order nonlinearity in acentric optical crystals with low symmetry

机译：低对称性的非中心光学晶体中的有效二阶非线性

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摘要

We derive explicit expressions in the frame of the optical indicatrix for the second-order effective nonlinearity in biaxial crystals with point groups 2, m, and 1, governing the conversion efficiency in three-wave nonlinear optical interactions. The tabulated expressions for the monoclinic symmetry classes 2 and m are valid for all possible orientations of the optical indicatrix relative to the crystallographic frame and for propagation along an arbitrary direction outside the principal planes. They can be used for direct estimation of the effective nonlinearity in the same frame where the phase-matching loci are calculated. The relevant properties and conventions used for the newly emerging acentric monoclinic crystals belonging to the borate family are summarized and tabulated. The derivations are expected to help establish adherence to uniform nomenclature and conventions for these novel inorganic nonlinear crystals, and to eliminate ambiguity and increasing confusion in the literature and in the industrial specifications. The general expressions for the effective nonlinearity are reduced for triclinic crystals of point group 1 to simplified forms in the principal planes.
机译：我们在光学指标的框架中针对点组2，m和1的双轴晶体中的二阶有效非线性推导了显式表达式，从而控制了三波非线性光学相互作用中的转换效率。单斜对称等级2和m的列表表达式对于光学指示物相对于晶体框架的所有可能方向以及在主平面外沿任意方向传播均有效。它们可用于在计算相位匹配轨迹的同一帧中直接估计有效非线性。归纳并列出了用于硼酸盐族的新兴无心单斜晶体的相关特性和惯例。这些推导有望帮助建立对这些新型无机非线性晶体的统一命名法和惯例的依从性，并消除文献和工业规范中的歧义并增加混淆。对于点组1的三斜晶体，有效非线性的一般表达式被简化为主平面中的简化形式。

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