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Electromagnetic Green Functions in Spectral Representation

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

Abstract

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
$$\vec{V }(\vec{r};\omega ) ={ \int\nolimits \nolimits }_{-\infty }^{\infty }\vec{V }(\vec{r},t)\mathrm{{e}}^{i\omega t}\,\mathrm{d}t,$$
(3.1)
and for a scalar field the transformation is the same as for a component of \(\vec{V }\).

Keywords

Scalar Field Green Function Observation Point Integral Relation Transverse Photon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Institut for FysikAalborg UniversitetAalborgDenmark

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