## Abstract

Limitations on the scattering matrix are derived for a

wide class of objects, restricting their broadband interaction

with electromagnetic vector spherical waves in terms

of their size, shape and static material properties. In particular,

it is seen that the order of the dominating term

for electrically small objects increases with the order of

the spherical wave. The results are applicable to many

areas concerned with electromagnetic waves interacting

with matter. For instance, they open up a new approach

to derive bounds on antenna performance. They can also

be generalized to acoustic and elastodynamic scattering.

Two intermediate results presented are a set of sum rules

for and the low-frequency asymptotic expansions of the

scattering and transition matrices of a general scatterer.

wide class of objects, restricting their broadband interaction

with electromagnetic vector spherical waves in terms

of their size, shape and static material properties. In particular,

it is seen that the order of the dominating term

for electrically small objects increases with the order of

the spherical wave. The results are applicable to many

areas concerned with electromagnetic waves interacting

with matter. For instance, they open up a new approach

to derive bounds on antenna performance. They can also

be generalized to acoustic and elastodynamic scattering.

Two intermediate results presented are a set of sum rules

for and the low-frequency asymptotic expansions of the

scattering and transition matrices of a general scatterer.

Original language | English |
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Title of host publication | [Host publication title missing] |

Publisher | The Pacific Institute for the Mathematical Sciences, Canada |

Pages | 619-622 |

Number of pages | 4 |

Publication status | Published - 2011 |

Event | 10th International Conference on Mathematical and Numerical Aspects of Waves - Vancouver, BC, Canada Duration: 2011 Jul 25 → 2011 Jul 29 |

### Conference

Conference | 10th International Conference on Mathematical and Numerical Aspects of Waves |
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Country/Territory | Canada |

City | Vancouver, BC |

Period | 2011/07/25 → 2011/07/29 |

## Subject classification (UKÄ)

- Electrical Engineering, Electronic Engineering, Information Engineering