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Scattering from frequency selective surfaces: An efficient set of V-dipole basis functions

Poulsen, Sören LU (2000) In Technical Report LUTEDX/(TEAT-7083)/1-17/(2000)
Abstract
In this paper a novel set of V-dipole basis functions is introduced. These

basis functions are used to approximate the induced surface current density

on an infinite, plane frequency selective surface (FSS). The elements of the

FSS are supposed to consist of straight sections and bends. Two groups of

elements which the present V-dipole basis functions can be applied to are

identified, namely the center connected elements and the loop type elements.

Using the established spectral Galerkin method, where the method of moment

(MoM) procedure is carried out in the spectral domain, we determine the

reflection and transmission coefficients of the FSS. The convergence of... (More)
In this paper a novel set of V-dipole basis functions is introduced. These

basis functions are used to approximate the induced surface current density

on an infinite, plane frequency selective surface (FSS). The elements of the

FSS are supposed to consist of straight sections and bends. Two groups of

elements which the present V-dipole basis functions can be applied to are

identified, namely the center connected elements and the loop type elements.

Using the established spectral Galerkin method, where the method of moment

(MoM) procedure is carried out in the spectral domain, we determine the

reflection and transmission coefficients of the FSS. The convergence of the

solution is demonstrated both for existing bases and the present V-dipole

basis functions. It is found that the double infinite Floquet sum diverges

when existing, discontinuous, basis functions are used, but that convergence is

obtained for the present basis functions. Therefore, care needs to be exercised

and it would seem discontinuous bases should be avoided. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7083)/1-17/(2000)
pages
17 pages
publisher
[Publisher information missing]
report number
TEAT-7083
language
English
LU publication?
yes
additional info
Published version: IEEE Trans. Antennas Propagat. 51(3), 540-548, 2003.
id
55a05586-967f-4991-b8fd-738d1e027644 (old id 530591)
date added to LUP
2016-04-04 14:04:16
date last changed
2018-11-21 21:18:07
@techreport{55a05586-967f-4991-b8fd-738d1e027644,
  abstract     = {{In this paper a novel set of V-dipole basis functions is introduced. These<br/><br>
basis functions are used to approximate the induced surface current density<br/><br>
on an infinite, plane frequency selective surface (FSS). The elements of the<br/><br>
FSS are supposed to consist of straight sections and bends. Two groups of<br/><br>
elements which the present V-dipole basis functions can be applied to are<br/><br>
identified, namely the center connected elements and the loop type elements.<br/><br>
Using the established spectral Galerkin method, where the method of moment<br/><br>
(MoM) procedure is carried out in the spectral domain, we determine the<br/><br>
reflection and transmission coefficients of the FSS. The convergence of the<br/><br>
solution is demonstrated both for existing bases and the present V-dipole<br/><br>
basis functions. It is found that the double infinite Floquet sum diverges<br/><br>
when existing, discontinuous, basis functions are used, but that convergence is<br/><br>
obtained for the present basis functions. Therefore, care needs to be exercised<br/><br>
and it would seem discontinuous bases should be avoided.}},
  author       = {{Poulsen, Sören}},
  institution  = {{[Publisher information missing]}},
  language     = {{eng}},
  number       = {{TEAT-7083}},
  series       = {{Technical Report LUTEDX/(TEAT-7083)/1-17/(2000)}},
  title        = {{Scattering from frequency selective surfaces: An efficient set of V-dipole basis functions}},
  url          = {{https://lup.lub.lu.se/search/files/6273421/624958.pdf}},
  year         = {{2000}},
}