Scalar beam propagation in a Lorentz-violating background

Abstract We investigate the propagation characteristics of apertured Gaussian and Bessel beams in a nontrivial spacetime background characterized by a constant 4-vector. Such 4-vector introduces a privileged direction in spacetime, thus breaking Lorentz invariance. The scalar beam is modeled by a massless scalar field theory, which corresponds to the scalar sector of the standard model extension. Assuming an axially symmetric Lorentz-violating background, we employ the Green’s function method to investigate the propagated field for particular input fields. We investigate the impact of the Lorentz-violating parameter upon the intensity and focalization of the beams. Finally, we discuss possible realizations in optically transparent multiferroic materials.