Sena Esen BAYER KESKİN, Ahmet Arif ERGİN

Continuity of currents across neighboring cells in PMM analysis of thin-wire grids

This article presents a new approach for the analysis of electromagnetic scattering from a rectangular wire mesh. In this sense, a basis function that considers the flow of a current from one cell to the next is proposed in light of Floquet's theorem. The proposed basis function enables the use of periodic method of moments in frequency-selective surfaces composed of thin wires in the case of a system having a connection with neighboring cells, such as thin-wire grids. The validity of the proposed solution approach is tested in 2 distinct cases (with and without a neighbor connection) for scattered fields. It is found that the results of the numerical analyses conducted with the proposed approach are in good agreement with the experimental data. Although the study presented herein focuses only on wire structures, the idea can also easily be extended to surface basis functions.

Anahtar Kelimeler:

Frequency-selective surface, periodic method of moments, reflection/transmission coefficients, thin wires

Continuity of currents across neighboring cells in PMM analysis of thin-wire grids

Keywords:

Frequency-selective surface, periodic method of moments, reflection/transmission coefficients, thin wires,

PDF

___

R. Kieburtz, A. Ishimaru, “Aperture fields of an array of rectangular apertures”, IRE Transactions on Antennas and Propagation, Vol. 10, pp. 663–671, 1962.
C.C. Chen, “Transmission through a conducting screen perforated periodically with apertures”, IEEE Transactions on Microwave Theory and Techniques, Vol. 18, pp. 627–632, 1970.
C.C. Chen, “Scattering by a two-dimensional periodic array of conducting plates”, IEEE Transactions on Antennas and Propagation, Vol. 18, pp. 660–665, 1970.
C.H. Tsao, R. Mittra, “A spectral-iteration approach for analyzing scattering from frequency selective surfaces”, IEEE Transactions on Antennas and Propagation, Vol. 30, pp. 303–308, 1982.
T. Cwik, R. Mittra, K. Lang, T. Wu, “Frequency selective screens”, IEEE Antennas and Propagation Society Newsletter, Vol. 29, pp. 5–10, 1987.
R. Mittra, C.H. Chan, T. Cwik, “Techniques for analyzing frequency selective surfaces-a review”, Proceedings of the IEEE, Vol. 76, pp. 1593–1615, 1988.
C.H. Chan, R. Mittra, “On the analysis of frequency-selective surfaces using subdomain basis functions”, IEEE Transactions on Antennas and Propagation, Vol. 38, pp. 40–50, 1990.
T. Cwik, R. Mittra, “Scattering from a periodic array of free-standing arbitrarily shaped perfectly conducting or resistive patches”, IEEE Transactions on Antennas and Propagation, Vol. 35, pp. 1226–1234, 1987.
J.P. Montgomery, K.R. Davey, “The solution of planar periodic structures using iterative methods”, Electromagnetics, Vol. 5, pp. 209–235, 1985.
C. Christodoulou, J. Kauffman, “On the electromagnetic scattering from infinite rectangular grids with finite conductivity”, IEEE Transactions on Antennas and Propagation, Vol. 34, pp. 144–154, 1986.
W.A. Imbriale, V. Galindo-Israel, Y. Rahmat-Samii, “On the reflectivity of complex mesh surfaces [spacecraft reflector antennas]”, IEEE Transactions on Antennas and Propagation, Vol. 39, pp. 1352–1365, 1991.
B. Munk, Frequency selective surfaces: Theory and design, New York, Wiley, 2000.
J. Blackburn, L.R. Arnaut, “Numerical convergence in periodic method of moments analysis of frequency-selective surfaces based on wire elements”, IEEE Transactions on Antennas Propagation, Vol. 53, pp. 3308–3315, 2005. C. Butler, “The equivalent radius of a narrow conducting strip”, IEEE Transactions on Antennas and Propagation, Vol. 30, pp. 755–758, 1982.
M.G. Floquet, “Sur les equations differentielles lineaires a coefficients periodiques”, Annale Ecole Normale Superieur, pp. 47–88, 1883.
S.E. Bayer, A. C ¸ elik, A.A. Ergin, “Reflection/transmission measurement system for planar materials and verification by thin wire grids”, The 30th General Assembly and Scientific Symposium of the International Union of Radio Science, 2011.