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Some paradoxes associated with a recent sum rule in scattering theory

Publiceringsår: 2008
Språk: Engelska
Sidor: 1-4
Dokumenttyp: Konferensbidrag


This paper reports on some peculiarities associated with a recently published summation rule for scattering of electromagnetic

waves. The summation rule states that the extinction cross section integrated over all frequencies is equal to

the low-frequency response of the target. Although the summation rule is intriguing by itself, it becomes even more

paradoxical when a static conductivity model or the PEC boundary condition is introduced. The paradoxical character

lies in the fact that the extinction cross section integrated over all frequencies is independent of the static conductivity

as long as it is non-zero. This puzzling result is explained by rejecting the static conductivity model at zero frequency

as suggested by numerical simulations of a homogeneous and isotropic sphere. In addition, the low-frequency behavior

of diamagnetic materials is investigated using Herglotz functions and arguments from the theory of special relativity.


  • Electrical Engineering, Electronic Engineering, Information Engineering


XXIXth URSI General Assembly 2008
  • Electromagnetic theory-lup-obsolete

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