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Dispersion relations for extinction of acoustic and electromagnetic waves

Sohl, Christian LU (2007)
Abstract
This thesis deals with physical limitations on scattering and absorption of acoustic and electromagnetic waves. A general dispersion relation for the extinction cross section of such waves is derived from the holomorphic properties of the scattering amplitude in the forward direction. The result states that for a given volume, there is only a limited amount of scattering and absorption available in the entire frequency range. The dispersion relation is shown to be valuable for a broad range of problems in theoretical physics involving wave interaction with matter over a frequency interval.



The theory of broadband extinction of electromagnetic waves is also applied to a large class of causal and reciprocal antennas to... (More)
This thesis deals with physical limitations on scattering and absorption of acoustic and electromagnetic waves. A general dispersion relation for the extinction cross section of such waves is derived from the holomorphic properties of the scattering amplitude in the forward direction. The result states that for a given volume, there is only a limited amount of scattering and absorption available in the entire frequency range. The dispersion relation is shown to be valuable for a broad range of problems in theoretical physics involving wave interaction with matter over a frequency interval.



The theory of broadband extinction of electromagnetic waves is also applied to a large class of causal and reciprocal antennas to establish physical realizability and upper bounds on bandwidth and directive properties. The results are compared with classical limitations based on eigenfunction expansions, and shown to provide sharper inequalities and, more importantly, a new fundamental understanding of antenna dynamics solely based on static properties. In modeling of metamaterials, the theory implies that for a narrow frequency band, engineered composite materials may possess extraordinary characteristics, but tradeoffs are necessary to increase its bandwidth. (Less)
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author
supervisor
organization
publishing date
type
Thesis
publication status
published
subject
pages
159 pages
language
English
LU publication?
yes
id
a7be91f5-dbba-4087-af67-abae59feafcc (old id 610188)
date added to LUP
2007-12-12 11:19:17
date last changed
2016-09-19 08:45:00
@misc{a7be91f5-dbba-4087-af67-abae59feafcc,
  abstract     = {This thesis deals with physical limitations on scattering and absorption of acoustic and electromagnetic waves. A general dispersion relation for the extinction cross section of such waves is derived from the holomorphic properties of the scattering amplitude in the forward direction. The result states that for a given volume, there is only a limited amount of scattering and absorption available in the entire frequency range. The dispersion relation is shown to be valuable for a broad range of problems in theoretical physics involving wave interaction with matter over a frequency interval.<br/><br>
<br/><br>
The theory of broadband extinction of electromagnetic waves is also applied to a large class of causal and reciprocal antennas to establish physical realizability and upper bounds on bandwidth and directive properties. The results are compared with classical limitations based on eigenfunction expansions, and shown to provide sharper inequalities and, more importantly, a new fundamental understanding of antenna dynamics solely based on static properties. In modeling of metamaterials, the theory implies that for a narrow frequency band, engineered composite materials may possess extraordinary characteristics, but tradeoffs are necessary to increase its bandwidth.},
  author       = {Sohl, Christian},
  language     = {eng},
  note         = {Licentiate Thesis},
  pages        = {159},
  title        = {Dispersion relations for extinction of acoustic and electromagnetic waves},
  year         = {2007},
}