Summary
International Symposium on Antennas and Propagation
2010
Session Number:2WB2
Session:
Number:2WB2-1
The Multi-Scale Method Combined to the GEC Modeling for the Study of Pre-Fractal Structures with Incorporated PIN Diodes
MILI Sonia, LARBI AGUILI Chiraz, AGUILI Taoufik,
pp.-
Publication Date:2010/11/23
Online ISSN:2188-5079
Summary:
Since 1975 when Benoit Mandelbrot has defined fractals for the first time [1], many new shapes and applications for fractals continue to emerge [2]. The most well known examples are fractal-shaped antennas and frequency selective surfaces (FSS). Recently, PIN Diodes have been integrated in active FSS to obtain tunable frequency response [3-6]. Using classical methods, the study of such complex structures requires long CPU time and huge memory resources. When these structures contain fine details, the high aspect ratio leads to badly scaled matrices and convergence problems. In this paper, a multi-scale (MS) approach combined to the Generalized Equivalent Circuit (GEC) Modeling is applied to simplify the electromagnetic study of pre-fractal structures. The idea is to split the complex structure into sub-structures which are again split into smaller substructures until the smallest one is reached. For each sub-structure is associated a scale level and scale level 1 is attributed to the smallest sub-structure. The computation starts from scale level 1: N active modes illuminate the considered level in order to compute its surface impedance Matrix from which an impedance operator is deduced. The transition to the next level is done by replacing the previous level by its impedance operator. The previous steps will be done for each level till the highest one. In this paper, the MS-GEC technique is applied to compute the surface impedance of a pre-fractal structure with incorporated PIN diodes. The results of the MS-GEC method converge to those of the MoM method when a sufficient number of active modes are used at each scale level.