Physics – Classical Physics
Scientific paper
2003-09-26
J. of Optics A: Pure Appl. Opt. 6, S181 (2004)
Physics
Classical Physics
NATO Workshop on Singular Optics 2003 To appear in Journal of Optics A
Scientific paper
10.1088/1464-4258/6/5/007
New method of introducing vortex lines of the electromagnetic field is outlined. The vortex lines arise when a complex Riemann-Silberstein vector $({\bm E} + i{\bm B})/\sqrt{2}$ is multiplied by a complex scalar function $\phi$. Such a multiplication may lead to new solutions of the Maxwell equations only when the electromagnetic field is null, i.e. when both relativistic invariants vanish. In general, zeroes of the $\phi$ function give rise to electromagnetic vortices. The description of these vortices benefits from the ideas of Penrose, Robinson and Trautman developed in general relativity.
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