We scrutinize the geometrical properties of light propagation inside a nonlinear medium modeled by a fully covariant electromagnetic theory in 2 + 1-dimensions. After setting the nonlinear constitutive relations, the phase velocity and the polarization of waves are derived and three special cases are analyzed in details. In spite of the dimensional reduction, our model still presents phenomena like one-way propagation, controlled opacity among others for a large class of dielectric and magneto-electric parameters.I.
We scrutinize the geometrical properties of light propagation inside a hypothetical
nonlinear medium modeled by a fully covariant electromagnetic theory in (2+1)-dimensions.
After setting the local and nonlinear constitutive relations, the phase velocity and the
polarization of the waves are derived and three special cases are analyzed in detail. In
particular, we show that this version of electromagnetism in low dimensions may present
phenomena such as one-way propagation and controlled opacity, among others, for a large
class of dielectric and magneto-electric parameters.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.