标题： 磁电材料中的光传播：光学系数在折射率调制中的作用 显示英文标题

标题： Light propagation in magnetoelectric materials: The role of optical coefficients in refractive index modulation

摘要： 对与非线性磁电效应相关的光学现象的研究正在科学界引起越来越多的关注。 技术不断要求新材料能够对外部电磁场产生精确且可控制的响应。 在此背景下，这类材料的光学特性具有重要意义。 在这里，我们在无损耗和非色散的条件下，研究具有线性和非线性光学系数的材料中的电磁波传播。 我们通过考察特殊情况来扩展对非线性系数作用的讨论，在这些情况下，磁电光学系数$\alpha_{ij}$、$\beta_{ijk}$和$\gamma_{ijk}$对双折射和非互易现象的贡献得到了阐明。 值得注意的是，直接将磁电系数与介质折射率联系起来的表达式被完全推导出来。 这些表达式使得可以直接测量每个非线性磁电系数的所有分量，这比以前的工作有所进步。 这一进展将理论模型与实验应用联系起来，为磁电效应的光学表征提供了可能性。 显示英文摘要

摘要： Investigations into optical phenomena associated with nonlinear magnetoelectric effects are attracting growing attention within the scientific community. Technologies constantly demand new materials capable of exhibiting precise and controllable responses to external electromagnetic fields. In this context, the optics of such materials is of remarkable importance. Here, working in a lossless and non-dispersive regime, electromagnetic wave propagation in materials presenting linear and nonlinear optical coefficients is investigated. We expand the discussion of the roles of nonlinear coefficients by examining special cases in which the contribution of the magnetoelectric optical coefficients $\alpha_{ij}$, $\beta_{ijk}$, and $\gamma_{ijk}$ to birefringence and nonreciprocal phenomena is elucidated. Notably, expressions that directly connect the magnetoelectric coefficients to the refractive indices of the medium are fully derived. These expressions enable the direct measurement of all components of each nonlinear magnetoelectric coefficient, providing an advancement over previous works. This development bridges theoretical models with experimental applications, offering possibilities for the optical characterization of magnetoelectric effects.