volume | PIER Journals

Abstract

By combining the work of J.R. Wait on a periodically loaded vertical wire grid and the work of D.A. Hill and J.R. Wait on a wire mesh, a novel generalized formulation, the Wait-Hill formulation, is obtained for the analysis of lumped-element periodically-loaded orthogonal wire grid generic frequency selective surfaces. The Wait-Hill formulation is simple and not restricted by the miniaturization assumption of current approximate simple methods for the analysis of loaded and unloaded wire grids. The results of the Wait-Hill formulation are shown to agree well with those of a commercial software.

1. Munk, B. A., Frequency Selective Surfaces: Theory and Design, John Wiley and Sons, 2000.
doi:10.1002/0471723770

2. Munk, B. A., "Finite Arrays and FSS," John Wiley and Sons, 2003. Google Scholar

3. Mias, C., "Frequency selective surfaces loaded with surface-mount reactive components," Electronics Letters, Vol. 39, No. 9, 724-726, 2003.
doi:10.1049/el:20030446 Google Scholar

4. Li, M. and N. Behdad, "A third-order bandpass frequency selective surface with a tunable transmission null," IEEE Trans. Antennas Propagat., Vol. 60, No. 4, 2109-2113, 2012.
doi:10.1109/TAP.2012.2186251 Google Scholar

5. Anderson, I., "On the theory of self resonant grids," The Bell System Technical Journal, Vol. 54, No. 4, 1725-1731, 1975.
doi:10.1002/j.1538-7305.1975.tb03551.x Google Scholar

6. Wait, J. R., "Theory of scattering from a periodically loaded wire grid," IEEE Trans. Antennas Propagat., Vol. 25, No. 3, 409-413, 1977.
doi:10.1109/TAP.1977.1141598 Google Scholar

7. Hill, D. A. and J. R. Wait, "Electromagnetic scattering of an arbitrary plane-wave by a wire mesh with bonded junctions," Canadian Journal of Physics, Vol. 54, No. 4, 353-361, 1976.
doi:10.1139/p76-041 Google Scholar

8. Butler, C., "The equivalent radius of a narrow conducting strip," IEEE Trans. Antennas Propag., Vol. 30, No. 4, 755-758, Jul. 1982.
doi:10.1109/TAP.1982.1142839 Google Scholar

9. Iigusa, K., H. Harada, S. Kato, J. Hirokawa, and M. Ando, "Periodically loaded straight wires for radio wave transmission control," IEEE Trans. Antennas Propag., Vol. 59, No. 1, 328-332, 2011.
doi:10.1109/TAP.2010.2090488 Google Scholar

10. Simovski, C. R., P. de Maagt, and I. V. Melchakova, "High-impedance surfaces having stable resonance with respect to polarization and incidence angle," IEEE Trans. Antennas Propag., Vol. 53, No. 3, 908-914, 2005.
doi:10.1109/TAP.2004.842598 Google Scholar

11. Luukkonen, O., C. Simovski, G. Granet, G. Goussetis, D. Lioubtchenko, A. V. Raisanen, and S. A. Tretyakov, "Simple and accurate analytical model of planar grids and high-impedance surfaces comprising metal strips or patches," IEEE Trans. Antennas Propag., Vol. 56, No. 6, 1624-1632, 2008.
doi:10.1109/TAP.2008.923327 Google Scholar

12. CST 2012 "Computer Simulation Technology," Darmstadt.
doi:www.cst.com Google Scholar

13. Luebbers, R. J. and B. A. Munk, "Cross polarization losses in periodic arrays of loaded slots," IEEE Trans. Antennas Propag. , Vol. 23, No. 2, 159-164, 1975.
doi:10.1109/TAP.1975.1141046 Google Scholar

14. Padooru, Y. R., A. B. Yakovlev, P.-Y. Chen, and A. Alu, "Analytical modeling of conformal mantle cloaks for cylindrical objects using sub-wavelength printed and slotted arrays," J. Appl. Phys., Vol. 112, 034907, 2012.
doi:10.1063/1.4745888 Google Scholar

15. Li, L., "Symmetries of cross-polarization diffraction coeffcients of gratings," Journal of the Optical Society of America A --- Optics Image Science and Vision, Vol. 17, No. 5, 881-887, May 2000.
doi:10.1364/JOSAA.17.000881 Google Scholar

16. Vincent, P. and M. Neviere, "The reciprocity theorem for corrugated surfaces used in conical diffraction mountings," Optica Acta, Vol. 26, No. 7, 889-898, 1979.
doi:10.1080/713820075 Google Scholar

Dr. Christos Mias

Professor Angelo Freni