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Finite-element analysis of infinite and finite arrays

Published online by Cambridge University Press:  24 May 2012

John B. Manges ,
John W. Silvestro  and
Kezhong Zhao
John B. Manges*
Affiliation:
Ansys Inc., Electronic Business Unit, 225 Station Square Drive, Pittsburgh, PA 15219, USA
John W. Silvestro
Affiliation:
Ansys Inc., Electronic Business Unit, 225 Station Square Drive, Pittsburgh, PA 15219, USA
Kezhong Zhao
Affiliation:
Ansys Inc., Electronic Business Unit, 225 Station Square Drive, Pittsburgh, PA 15219, USA
*
Corresponding author: John B. Manges Email: [email protected]
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Abstract

This paper considers and compares the numerical characterization of regular planar antenna arrays from two viewpoints. In the case where the array is sufficiently large, the well-known infinite array idealization applies and a very efficient simulation method is presented which combines array theory with a specialized form of the finite-element method called the transfinite element method (TFEM). Alternatively, a more direct approach is discussed in which the entire antenna array is simulated as a finite structure using recent advances in the domain decomposition method (DDM). Taken together, the two methods provide a comprehensive simulation method for regular arrays from small order to very large order.

Keywords

EM field theory and numerical techniquesAntenna designModeling and measurements
Type
Research Papers
Information
International Journal of Microwave and Wireless Technologies , Volume 4 , Special Issue 3: European Microwave Week 2011 , June 2012 , pp. 357 - 364
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2012

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References

REFERENCES

[1]McGrath, D.T.; Pyati, V.P.: Phased array analysis with the hybrid finite element method. IEEE Trans. Antennas Propag., 42 (12) (1994), 1625–1630.Google Scholar
[2]Jin, J.-M.; Lour, Z.; Li, Y.-J.; Riley, N.W.; Riley, D.J.: Finite element analysis of complex antennas and arrays. IEEE Trans. Antennas Propag., 56 (8) (2008), 2222–2240.Google Scholar
[3]Zhao, K.; Rawat, V.; Lee, S.-C.; Lee, J.-F.: A domain decomposition method with nonconformal meshes for finite periodic and semi-periodic structures. IEEE Trans. Antennas Propag., 55 (9) (2007), 2559–2570.Google Scholar
[4]Vouvakis, M.N.; Cendes, Z.; Lee, J.-F.: A FEM domain decomposition method for photonic and electromagnetic band gap structures. IEEE Trans. Antennas Propag., 54 (2) (2006), 721–733.Google Scholar
[5]Benamou, J.D.; Després, B.: A domain decomposition method for the Helmholtz equation and related optimal control problems. J. Comput. Phys., 136 ( 1997), 68–82.Google Scholar
[6]Manges, J.B.; Silvestro, J.W.; Petersson, R.: Accurate and efficient extraction of antenna array performance from numerical unit-cell data, Proceedings of the 41st European Microwave Conference, Manchester, UK, 2011, pp. 1019–1022.Google Scholar
[7]Cendes, Z.J.; Lee, J.-F.: The transfinite element method for modeling MMIC devices. IEEE Trans. Microw. Theory Tech., 36 (12) (1988), 1639–1649.Google Scholar
[8]Galindo, V.; Wu, C.P.: The relation between the far-zone pattern of the singly excited element and the transmission coefficient of the principle lobe in an infinite array. IEEE Trans. Antennas Propag., AP-14 (1966), 397–398.CrossRefGoogle Scholar
[9]Stutzman, W.L.; Thiele, G.A.: Antenna Theory and Design, 2nd ed., John Wiley & Sons Inc., New York, 1998, pp. 88–107.Google Scholar
[10]Wu, C.P.; Galindo, V.: Properties of a phased array of rectangular waveguides with thin walls. IEEE Trans. Antennas Propag., AP-14 (1966), 163–172.Google Scholar
[11]Bhattacharyya, A.K.: Phased Array Antennas, John Wiley & Sons, Inc., Hoboken, NJ, 2006.Google Scholar