Abstract
A twisting shear free solution of Maxwell's equations is obtained by transforming to a complex coordinate system in which the corresponding solution is complex but twist free. The equations in this system are easily solved, and, by transforming back to the original coordinates, a twisting shear free solution of Maxwell's equations is obtained.
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Ludvigsen, M. Shear free solutions of Maxwell's equations. Gen Relat Gravit 6, 165–173 (1975). https://doi.org/10.1007/BF00769984
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DOI: https://doi.org/10.1007/BF00769984