Transverse and Longitudinal Electrodynamics

  • Ole KellerEmail author
Part of the Nano-Optics and Nanophotonics book series (NON, volume 2)


Let us consider an everywhere differentiable vector field \(\vec{W}(r)\)which vanishes at infinity. For such a vector field we shall sketch the prove of Helmholtz theorem, viz., that \(\vec{W}(r)\)may be resolved uniquely into two parts, one of which is irrotational, the other solenoidal [275, 276].

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Institut for FysikAalborg UniversitetAalborgDenmark

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