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Boundary Value Problem of an Infinite Array of Loaded Apertures
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Boundary Value Problem of an Infinite Array of Loaded Apertures

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Abstract:

A mathematical model of the scattering by a periodically arranged apertures in conducting plates is presented. The boundary value problem of an infinite array of loaded apertures is formulated for an arbitrary incident plane wave. The reflection coefficient for some array geometries is obtained and the calculated values are in good agreement with the measurements in a previously published researches. All the rectangular apertures in the array are assumed to be identical and infinitesimally thin. The mathematical model is based on Floquet’s theorem that specifies the requirement of periodicity by the electromagnetic fields.

Info:

Periodical:
International Frontier Science Letters (Volume 3)
Pages:
11-15
DOI:
https://doi.org/10.18052/www.scipress.com/IFSL.3.11
Citation:
L. A. Iturri-Hinojosa et al., "Boundary Value Problem of an Infinite Array of Loaded Apertures", International Frontier Science Letters, Vol. 3, pp. 11-15, 2015
Online since:
Jan 2015
Authors:
Luis Alejandro Iturri-Hinojosa, Alexander E. Martynyuk, Mohamed Badaoui
Keywords:
Floquet’s Theorem, Loaded-Aperture Cells, Phased Array Antennas, RADANT Principle
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Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

[1] Lau, J.Y. and Hum, S.V., Reconfigurable Transmit array Design Approaches for Beam forming Applications, IEEE Transactions on Antennas and Propagation, vol. 60, No. 12, Dec. (2012).

[2] C. Chekroun, D. Herric, Y. Michel, R. Pauchard, and P. Vidal, Radant: New method of electronic scanning, Microw. J., vol. 24, No. 2, p.45–53, Feb. (1981).

[3] Benedikt A. Munk, Robert G. Kouyoujian, and Leon Peters, Reflection Properties of Periodic Surfaces of Loaded Dipoles, IEEE Trans. on Antennas and Propagation, vol. AP-19, No. 5, Sept. (1971).

DOI: https://doi.org/10.1109/tap.1971.1139995