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

TL;DR

This paper derives explicit formulas linking magnetoelectric optical coefficients to refractive indices, enabling direct experimental measurement and advancing the understanding of nonlinear optical effects in magnetoelectric materials.

Contribution

It provides the first complete derivation of expressions connecting magnetoelectric coefficients to refractive indices, facilitating optical characterization of these effects.

Findings

Derived explicit relations between magnetoelectric coefficients and refractive indices.

Enabled direct measurement of nonlinear magnetoelectric coefficients.

Bridged theoretical models with experimental optical characterization.

Abstract

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.