Electromagnetic Green Functions in Spectral Representation

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


A spectral representation of the Maxwell–Lorentz equations can be obtained subjecting the various vector fields (\(\vec{E}\), \(\vec{B}\), and \(\vec{J}\)) and the scalar field (ρ) to a timely Fourier integral transformation. For a vector field \(\vec{V }\) the transformation is defined by
$$\vec{V }(\vec{r};\omega ) ={ \int\nolimits \nolimits }_{-\infty }^{\infty }\vec{V }(\vec{r},t)\mathrm{{e}}^{i\omega t}\,\mathrm{d}t,$$
and for a scalar field the transformation is the same as for a component of \(\vec{V }\).


Scalar Field Green Function Observation Point Integral Relation Transverse Photon 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Institut for FysikAalborg UniversitetAalborgDenmark

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