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Validity and Accuracy of Equivalent Circuit Models of Passive Inductive Meshes. Definition of a Novel Model for 2D Grids
Authors:R Sauleau  Ph Coquet and J-P Daniel
Institution:(1) Laboratoire Antennes Radar Télécommunications, Equipe Antennes et Technologie, FRE CNRS 2272, Avenue du Général Leclerc, Université de Rennes 1, 35042 Rennes Cedex, France;(2) Ecole Normale Supérieure de Cachan—Antenne de Bretagne, Campus de Ker Lann, 35170 Bruz, France;(3) Antennes Process, 5, rue nationale, 35235 Thorigné-Fouillard, France
Abstract:Accuracy of equivalent circuit models of periodic grids is investigated in amplitude and phase in the visible region. The grids studied here are one-dimensional (1D) and two-dimensional (2D) inductive thin metal meshes. They are located in free space and are illuminated by a plane wave under normal incidence. The range of validity and the accuracy of conventional circuit models are defined by comparison with rigorous results obtained with the Finite-Difference Time-Domain (FDTD) method. In particular, it is shown that electrical models of 1D grids are accurate, whereas equivalent circuits of 2D grids should be used very cautiously. Then, a new formulation is proposed to overcome this major drawback. In the non-diffraction region, the agreement between our model and the FDTD results is within 2% for the power reflectivity and 1° for the phase over a very wide range of strip widths.
Keywords:periodic surfaces  inductive 1D and 2D metal grids  FDTD  equivalent circuit models
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