Microwave and Optical Technology Letters

Numerical aspects in the analysis of infinite regular and random helix arrays

Corresponding Author

Christian Meiners

[email protected]

Institut für Hochfrequenztechnik, Technische Universität Hamburg-Harburg, Denickestr. 22, 21073 Hamburg, Germany

Institut für Hochfrequenztechnik, Technische Universität Hamburg-Harburg, Denickestr. 22, 21073 Hamburg, GermanySearch for more papers by this author

Arne F. Jacob,

Arne F. Jacob

Institut für Hochfrequenztechnik, Technische Universität Hamburg-Harburg, Denickestr. 22, 21073 Hamburg, Germany

Search for more papers by this author

Christian Meiners,

Corresponding Author

Christian Meiners

[email protected]

Institut für Hochfrequenztechnik, Technische Universität Hamburg-Harburg, Denickestr. 22, 21073 Hamburg, Germany

Institut für Hochfrequenztechnik, Technische Universität Hamburg-Harburg, Denickestr. 22, 21073 Hamburg, GermanySearch for more papers by this author

Arne F. Jacob,

Arne F. Jacob

Institut für Hochfrequenztechnik, Technische Universität Hamburg-Harburg, Denickestr. 22, 21073 Hamburg, Germany

Search for more papers by this author

First published: 27 July 2007

https://doi.org/10.1002/mop.22788

Citations: 1

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Abstract

This contribution focuses on a scattering description of infinite arrays of small metallic helices. The latter are assumed to scatter like dipoles. A numerical approach is extended to account for the influence of the lattice with more precision. This is done by a simple extrapolation scheme, which accelerates the convergence of the arising series. For regular arrays, a comparison with a commercial software tool reveals a good agreement, at least as long as the distance between the particles is large enough for the dipole assumption to be valid. This also applies at resonance, the most critical case. The effects on random arrays are also investigated. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 2609–2613, 2007; Published online in Wiley InterScience (www.interscience.wiley.com) DOI 10.1002/mop.22788

REFERENCES

1 B.A. Munk, Frequency selective surfaces: Theory and design, Wiley, New York, 2000.
10.1002/0471723770
Google Scholar
2 J. Blackburn and L.R. Arnaut, Numerical convergence in periodic method of moments of frequency-selective surfaces based on wire elements, IEEE Trans Antennas Propag 53 (2005), 3308–3315.
10.1109/TAP.2005.856336
Web of Science® Google Scholar
3 R.W. Ziolkowski, Design, fabrication, and testing of double negative metamaterials, IEEE Trans Antennas Propag 51 (2003), 1516–1529.
10.1109/TAP.2003.813622
Web of Science® Google Scholar
4 R.F. Harrington, Field computation by moment methods, IEEE Press, Piscataway, NY, 1993.
10.1109/9780470544631
Google Scholar
5 R.E. Jorgenson and R. Mittra, Efficient calculation of the free-space periodic Green's function, IEEE Trans Antennas Propag 38 (1990), 633–642.
10.1109/8.53491
Web of Science® Google Scholar
6 S. Enoch, R.C. McPhedran, N.A. Nicorovici, L.C. Botten, and J.N. Nixon, Sums of spherical waves for lattices, layers, and lines, J Math Phys 42 (2001), 5860–5870.
10.1063/1.1409348
Web of Science® Google Scholar
7 C. Craeye, A. Bart Smolders, D.H. Schaubert, and A.G. Tijhuis, An efficient computation scheme for the free space Green's function of a two-dimensional semiinfinite phased array, IEEE Trans Antennas Propag 51 (2003), 766–771.
10.1109/TAP.2003.811056
Web of Science® Google Scholar
8 C. Meiners and A.F. Jacob, Fast numerical analysis of infinite helix layers, IEEE Trans Antennas Propag 55 (2007), 154–161.
10.1109/TAP.2006.888428
Web of Science® Google Scholar
9 J. Reinert and A.F. Jacob, Multipolarizability tensors of thin-wire scatterers: A direct calculation approach, IEEE Trans Antennas Propag 49 (2001), 1532–1538.
10.1109/8.964088
Web of Science® Google Scholar
10 C. Meiners and A.F. Jacob, Full-wave analysis of composite absorbing layers, In Proceedings of 36th European Microwave Conference, Manchester, UK, 2006, pp. 1011–1014.
Google Scholar
11 J. Psilopoulos, C. Meiners, and A.F. Jacob, A scattering approach for the characterization of composite materials, IEEE Trans Antennas Propag 53 (2005), 1507–1513.
10.1109/TAP.2005.844407
Web of Science® Google Scholar
12 W.C. Chew, Waves and fields in inhomogeneous media, Van Nostrand Reinhold, New York, 1990.
Google Scholar
13 A.C. Aitken, On Bernoulli's numerical solution of algebraic equations, Proc R Soc Edinburgh 46 (1926), 289–305.
10.1017/S0370164600022070
Google Scholar
14 C. Brezinski and M. Redivo Zaglia, Extrapolation methods. Theory and practice, Springer, North-Holland, Amsterdam, 1991.
Google Scholar
15 U. van Rienen, Numerical methods in computational electrodynamics: Linear systems in practical applications, Springer, Berlin, 2001.
10.1007/978-3-642-56802-2
Google Scholar
16 High frequency structure simulator, HFSS™v10, Ansoft corporation, www.hfss.com, Pittsburgh, PA 15219.
Google Scholar

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Volume49, Issue10

October 2007

Pages 2609-2613

Numerical aspects in the analysis of infinite regular and random helix arrays

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Numerical aspects in the analysis of infinite regular and random helix arrays

Abstract

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