Extended optical waveguide theory with magneto-optical effect and magnetoelectric effect

Optical waveguide theory is essential to the development of various optical devices. Although there are reports on waveguides with magneto-optical (MO) and magnetoelectric (ME) effects, a comprehensive theoretical analysis considering these two effects has not yet been published. In this study, conventional extended by constitutive relations that account for both MO ME effects. Using theory, propagation properties also analyzed in medium where metamaterials magnetic materials arranged such can be controlled independently. It confirmed interaction between occurs depending arrangement certain direction magnetization. This suggests nonreciprocal polarization control rotates only one when propagating plane wave enhances nature waves propagation.