Relativistic Rotating Electromagnetic Fields

Figure 2

Revolution profiles around the vertical axis of light surfaces, , corresponding, respectively, to Equations (55), (58), and (61). On these surfaces, both electromagnetic invariants vanish and the electromagnetic field is rotating with the speed of light in agreement with Equation (16). Hence, two different sets of corotating observers are required on each side to describe the motion of the electromagnetic field. (a) The light cylinder. (b) A cylinder with an equatorial bulge. (c) A light torus is displayed. The electromagnetic field is of the pure magnetic type inside the light surfaces (a) and (b) and of the pure electric type outside of them; this situation is inverted in (c). Figures were plotted using , , and .

(a)

(b)

(c)