## Sammanfattning

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.

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.

Originalspråk | engelska |
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Sidor | 1-4 |

Status | Published - 2008 |

Evenemang | XXIXth URSI General Assembly 2008 - Chicago, Chicago, Illinois, USA Varaktighet: 2008 aug. 7 → 2008 aug. 16 |

### Konferens

Konferens | XXIXth URSI General Assembly 2008 |
---|---|

Land/Territorium | USA |

Ort | Chicago, Illinois |

Period | 2008/08/07 → 2008/08/16 |

## Ämnesklassifikation (UKÄ)

- Elektroteknik och elektronik