Non-orthogonality and $\kappa$-dependence eccentricity of polarized electromagnetic waves in CPT-even Lorentz violation

TL;DR

This paper explores how CPT-even Lorentz violation modifies electromagnetic wave behavior, causing non-orthogonality and eccentricity dependence on Lorentz-violating parameters, with numerical analysis of polarization effects.

Contribution

It provides analytical solutions for polarized electromagnetic waves in Lorentz-violating vacuum, revealing non-orthogonality and eccentricity dependence on Lorentz-violating parameters.

Findings

Lorentz violation alters magnetic field amplitude without affecting electric field.

Electromagnetic waves exhibit non-orthogonal propagation due to Lorentz violation.

Eccentricity of elliptical polarization depends on the Lorentz-violating parameter κ.

Abstract

We discuss the modified Maxwell action of a $K_{F}$-type Lorentz symmetry breaking theory and present a solution of Maxwell equations derived in the cases of linear and elliptically polarized electromagnetic waves in the vacuum of CPT-even Lorentz violation. We show in this case the Lorentz violation has the effect of changing the amplitude of one component of the magnetic field, while leaving the electric field unchanged, leading to non-orthogonal propagation of eletromagnetic fields and dependence of the eccentricity on $\kappa$-term. Further, we exhibit numerically the consequences of this effect in the cases of linear and elliptical polarization, in particular, the regimes of non-orthogonality of the electromagnetic wave fields and the eccentricity of the elliptical polarization of the magnetic field with dependence on the $\kappa$-term.