Rotating Electromagnetic Waves in Toroid-Shaped Regions

Abstract

Electromagnetic waves, solving the full set of Maxwell equationsin vacuum, are numerically computed. These waves occupy a fixedbounded region of the three dimensional space, topologicallyequivalent to a toroid. Thus, their fluid dynamics analogs arevortex rings. An analysis of the shape of the sections of therings, depending on the angular speed of rotation and the majordiameter, is carried out. Successively, spherical electromagneticvortex rings of Hill's type are taken into consideration. For someinteresting peculiar configurations, explicit numerical solutionsare exhibited