Journal
JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS
Volume 6, Issue 5, Pages S181-S183Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1464-4258/6/5/007
Keywords
electromagnetic vortices; singular optics; Riemann-Silberstein vector; null electromagnetic fields
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A new method of introducing vortex lines of the electromagnetic field is outlined. The vortex lines arise when a complex Riemann-Silberstein vector (E + iB)/root2 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, zeros 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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