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Sum rules and physical bounds for a particulate slab --- transmission

Kristensson, Gerhard LU (2023) In Technical Report LUTEDX/(TEAT-7279)/1-29/(2023)
Abstract
Two different sum rules for transmission of the coherent electromagnetic field
by a particulate slab are established. The particles are assumed spherical
and randomly located, and the slab is illuminated by a plane wave at normal
incidence. These sum rules are obtained assuming the particles are passive
scatterers, and satisfy energy conservation and causality conditions. The sum
rules are then employed to generate physical bounds on a combination of the
bandwidth and a given transmission level. A potential check of the accuracy
of the numerical computations is also admitted by the exact sum rules. A
series of numerical computations illustrates the results obtained in the paper.
Abstract (Swedish)
Two different sum rules for transmission of the coherent electromagnetic field by a particulate slab are established. The particles are assumed spherical and randomly located, and the slab is illuminated by a plane wave at normal incidence. These sum rules are obtained assuming the particles are passive scatterers, and satisfy energy conservation and causality conditions. The sum rules are then employed to generate physical bounds on a combination of the bandwidth and a given transmission level. A potential check of the accuracy of the numerical computations is also admitted by the exact sum rules. A series of numerical computations illustrates the results obtained in the paper.
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organization
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type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7279)/1-29/(2023)
report number
TEAT-7279
language
English
LU publication?
yes
id
f9778045-df40-4e2a-bdd4-2856ac2b4341
date added to LUP
2023-12-06 10:52:36
date last changed
2024-03-25 08:48:02
@techreport{f9778045-df40-4e2a-bdd4-2856ac2b4341,
  abstract     = {{Two different sum rules for transmission of the coherent electromagnetic field<br/>by a particulate slab are established. The particles are assumed spherical<br/>and randomly located, and the slab is illuminated by a plane wave at normal<br/>incidence. These sum rules are obtained assuming the particles are passive<br/>scatterers, and satisfy energy conservation and causality conditions. The sum<br/>rules are then employed to generate physical bounds on a combination of the<br/>bandwidth and a given transmission level. A potential check of the accuracy<br/>of the numerical computations is also admitted by the exact sum rules. A<br/>series of numerical computations illustrates the results obtained in the paper.}},
  author       = {{Kristensson, Gerhard}},
  language     = {{eng}},
  number       = {{TEAT-7279}},
  series       = {{Technical Report LUTEDX/(TEAT-7279)/1-29/(2023)}},
  title        = {{Sum rules and physical bounds for a particulate slab --- transmission}},
  url          = {{https://lup.lub.lu.se/search/files/177905644/TEAT-7279.pdf}},
  year         = {{2023}},
}