@inproceedings{upm49099,
author = {Rafael Florencio D{\'i}az and Rafael Rodr{\'i}guez Boix and Jose Antonio Encinar Garcinu{\~n}o},
pages = {1--2},
year = {2010},
title = {Two numerical techniques for the electromagnetic analysis of
multilayered periodic structures with application to the design of reflectarray antennas},
booktitle = {IV European Conference on Computational Mechanics (ECCM 2010)},
url = {https://oa.upm.es/49099/},
abstract = {In the whole design process of a reflectarray antenna, the part that demands more CPU time is that related with the optimization of the patches dimensions. For real reflectarrays with thousands of elements where the design of the antenna involves optimization of the dimensions of each element until the phase requirements for polarization and frequency band are fulfilled, one may have to analyze hundreds of thousands of problems of electromagnetic scattering by periodic arrays of patches embedded in a grounded multilayered substrate. Therefore, a fast and accurate electromagnetic numerical tool is needed for the solution of these problems. The Method of Moments in the spectral domain (MoM-SD) has proven to be one of these tools since it makes it possible to analyze multilayered periodic problems with both efficiency and accuracy. When applying the MoM-SD to the electromagnetic analysis of periodic multilayered problems, two different strategies have been used. The first one is based on the use of mathematically complex multilayered Green?s functions (MGF), and reduces the analysis of the periodic structure to the summation of double infinite series which may be slowly convergent. The second strategy is based on the generalized (or multi-mode) scattering matrix (GSM) approach, and reduces the multilayered problem to a set of simpler two media problems which are connected by means of a cascading process. The strategy based on MGF is mathematically cumbersome, but it makes it possible to provide stop criteria and acceleration procedures for the double series that have to be summed. The strategy based on the GSM is easy from the mathematical point of view, and makes it possible to separate a complicated problem into a set of much simpler problems. The two strategies will be compared in the conference, and the pros and cons of each strategy will be presented in the context of the design of reflectarray antennas.}
}