Electromagnetic vortex lines riding atop null solutions of the Maxwell equations
نویسنده
چکیده
New method of introducing vortex lines of the electromagnetic field is outlined. The vortex lines arise when a complex Riemann-Silberstein vector (E + iB)/ √ 2 is multiplied by a complex scalar function φ. 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 φ function give rise to electromagnetic vortices. The description of these vortices benefits from the ideas of Penrose, Robinson and Trautman developed in general relativity. PACS numbers: 03.50.De, 42.25.-p, 03.65.Vf, 41.20.Jb Electromagnetic vortex lines riding atop null solutions of the Maxwell equations 2
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