111 citations · 292 across the 20 of their papers we have counts for
20 papers
Light propagation in (2+1)-dimensional electrodynamics: the case of nonlinear constitutive laws
Eduardo Bittencourt, Elliton O. S. Brandão, Érico Goulart
We scrutinize the geometrical properties of light propagation inside a nonlinear medium modeled by a fully covariant electromagnetic theory in -dimensions. After setting the n…
Light propagation in (2+1)-dimensional electrodynamics: the case of linear constitutive laws
Érico Goulart, Eduardo Bittencourt, Elliton O. S. Brandão
In this paper, we turn our attention to light propagation in three-dimensional electrodynamics. More specifically, we investigate the behavior of light rays in a continuous bi-dime…
Spherical symmetry and nonmagnetic dielectrics in analogue models of gravity
Eduardo Bittencourt, Diego Renan Da Silva, Érico Goulart +1
Nonmagnetic and spherically symmetric dielectric material media are investigated in their generality as analogue models, in the domains of geometrical optics, for a few relevant st…
Space and time ambiguities in vacuum electrodynamics
Érico Goulart, Eduardo Bittencourt
It is shown that every regular electromagnetic field in vacuum identically satisfy Maxwell equations in a new manifold where the roles of space and time have been exchanged. The ne…
Towards a unified description of knotted light
E. Goulart, J. E. Ottoni
Several complementary approaches to investigate knotted solutions of Maxwell's equations in vacuum are now available in literature. However, only partial results towards a unified…
On the geometrical hypotheses underlying wave functions and their emerging dynamics
Erico Goulart, Nelson Pinto-Neto
Classical mechanics for individual physical systems and quantum mechanics of non-relativistic particles are shown to be exceptional cases of a generalized dynamics described in ter…