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Reconstruction of Equivalent currents Using the Scalar Surface Integral Representation

Persson, Kristin LU and Gustafsson, Mats LU (2005) In Technical Report LUTEDX/(TEAT-7131)/1-25/(2005) TEAT-7131.
Abstract
Knowledge of the current distribution on a radome can be used to improve

radome design, detect manufacturing errors, and to verify numerical simulations.

In this paper, the transformation from near-field data to its equivalent

current distribution on a surface of arbitrary material, i.e., the radome, is

analyzed. The transformation is based on the scalar surface integral representation

that relates the equivalent currents to the near-field data. The presence

of axial symmetry enables usage of the fast Fourier transform (FFT) to reduce

the computational complexity. Furthermore, the problem is regularized using

the singular value decomposition (SVD). Both synthetic and... (More)
Knowledge of the current distribution on a radome can be used to improve

radome design, detect manufacturing errors, and to verify numerical simulations.

In this paper, the transformation from near-field data to its equivalent

current distribution on a surface of arbitrary material, i.e., the radome, is

analyzed. The transformation is based on the scalar surface integral representation

that relates the equivalent currents to the near-field data. The presence

of axial symmetry enables usage of the fast Fourier transform (FFT) to reduce

the computational complexity. Furthermore, the problem is regularized using

the singular value decomposition (SVD). Both synthetic and measured data

are used to verify the method. The quantity of data is large since the height

of the radome corresponds to 29 − 43wavelengths in the frequency interval

8.0 − 12.0GHz. It is shown that the method gives an accurate description

of the field radiated from an antenna, on a surface enclosing it. Moreover,

disturbances introduced by copper plates attached to the radome surface, not

localized in the measured near field, are focused and detectable in the equivalent

currents. The method also enables us to determine the phase shift of the

field due to the passage of the radome, cf. the insertion phase delay. (Less)
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author
organization
publishing date
type
Book/Report
publication status
published
subject
keywords
arbitrary geometric structures, surface integral equation, singular value decomposition, near field to equivalent currents transformation, radome applications
in
Technical Report LUTEDX/(TEAT-7131)/1-25/(2005)
volume
TEAT-7131
pages
25 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
9e9738f9-fbd4-4d4f-a457-25fafbf136a3 (old id 530316)
date added to LUP
2007-09-12 11:34:51
date last changed
2016-04-16 10:54:08
@techreport{9e9738f9-fbd4-4d4f-a457-25fafbf136a3,
  abstract     = {Knowledge of the current distribution on a radome can be used to improve<br/><br>
radome design, detect manufacturing errors, and to verify numerical simulations.<br/><br>
In this paper, the transformation from near-field data to its equivalent<br/><br>
current distribution on a surface of arbitrary material, i.e., the radome, is<br/><br>
analyzed. The transformation is based on the scalar surface integral representation<br/><br>
that relates the equivalent currents to the near-field data. The presence<br/><br>
of axial symmetry enables usage of the fast Fourier transform (FFT) to reduce<br/><br>
the computational complexity. Furthermore, the problem is regularized using<br/><br>
the singular value decomposition (SVD). Both synthetic and measured data<br/><br>
are used to verify the method. The quantity of data is large since the height<br/><br>
of the radome corresponds to 29 − 43wavelengths in the frequency interval<br/><br>
8.0 − 12.0GHz. It is shown that the method gives an accurate description<br/><br>
of the field radiated from an antenna, on a surface enclosing it. Moreover,<br/><br>
disturbances introduced by copper plates attached to the radome surface, not<br/><br>
localized in the measured near field, are focused and detectable in the equivalent<br/><br>
currents. The method also enables us to determine the phase shift of the<br/><br>
field due to the passage of the radome, cf. the insertion phase delay.},
  author       = {Persson, Kristin and Gustafsson, Mats},
  institution  = {[Publisher information missing]},
  keyword      = {arbitrary geometric structures,surface integral equation,singular value decomposition,near field to equivalent currents transformation,radome applications},
  language     = {eng},
  pages        = {25},
  series       = {Technical Report LUTEDX/(TEAT-7131)/1-25/(2005)},
  title        = {Reconstruction of Equivalent currents Using the Scalar Surface Integral Representation},
  volume       = {TEAT-7131},
  year         = {2005},
}