Abstract

Electric and magnetic waveguides are considered in planar Dirac materials like graphene as well as their classical version for relativistic particles of zero mass and electric charge. In order to deal with analytical solutions of the Dirac-Weyl equation, we have assumed the displacement symmetry of the system along a direction. Afterwards, we have examined the rest of symmetries relevant to each type of waveguide, magnetic or electric, which will determine their main differences. We have worked out waveguides with square profile in detail to show up some of the most interesting features. This is made much more clear in the light of a background classical analog. By means of a systematic comparison of both types of waveguides it has been possible to elucidate their more relevant aspects. Most results have been visualized along a series of representative graphics.

Abstract

Electric and magnetic waveguides are considered in planar Dirac materials like graphene as well as their classical version for relativistic particles of zero mass and electric charge. In order to deal with analytical solutions of the Dirac-Weyl equation, we have assumed the displacement symmetry of the system along a direction. Afterwards, we have examined the rest of symmetries relevant to each type of waveguide, magnetic or electric, which will determine their main differences. We have worked out waveguides with square profile in detail to show up some of the most interesting features. This is made much more clear in the light of a background classical analog. By means of a systematic comparison of both types of waveguides it has been possible to elucidate their more relevant aspects. Most results have been visualized along a series of representative graphics.

Abstract

Electric and magnetic waveguides are considered in planar Dirac materials like graphene as well as their classical version for relativistic particles of zero mass and electric charge. In order to deal with analytical solutions of the Dirac-Weyl equation, we have assumed the displacement symmetry of the system along a direction. Afterwards, we have examined the rest of symmetries relevant to each type of waveguide, magnetic or electric, which will determine their main differences. We have worked out waveguides with square profile in detail to show up some of the most interesting features. This is made much more clear in the light of a background classical analog. By means of a systematic comparison of both types of waveguides it has been possible to elucidate their more relevant aspects. Most results have been visualized along a series of representative graphics.

Abstract

Electric and magnetic waveguides are considered in planar Dirac materials like graphene as well as their classical version for relativistic particles of zero mass and electric charge. In order to deal with analytical solutions of the Dirac-Weyl equation, we have assumed the displacement symmetry of the system along a direction. Afterwards, we have examined the rest of symmetries relevant to each type of waveguide, magnetic or electric, which will determine their main differences. We have worked out waveguides with square profile in detail to show up some of the most interesting features. This is made much more clear in the light of a background classical analog. By means of a systematic comparison of both types of waveguides it has been possible to elucidate their more relevant aspects. Most results have been visualized along a series of representative graphics.