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.
"Generalized Wait-Hill Formulation Analysis of Lumpedelement Periodically-Loaded Orthogonal Wire Grid Generic Frequency Selective Surfaces," Progress In Electromagnetics Research,
Vol. 143, 47-66, 2013. doi:10.2528/PIER13073003
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.
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
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
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
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
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
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
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
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
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
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
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