%0 Journal Article %A Gómez Molina, Celia %T Investigations on Integral Equation techniques applied to the analysis of radiofrequency circuits for satellite applications %D 2016 %U http://hdl.handle.net/10317/6134 %X This project addresses the investigation on integral equation techniques applied to the analysis of radiofrequency circuits [1]. This investigation consists of two di erent lines of research. The rst one deals with the study and computation of Green's functions for sources in two dimensions (2-D) with one-dimensional periodicity (1-D) and two-dimensional periodicity (2-D) [2, 3]. For this aim, we rst revise the formulation of the 2-D Green's function with 1-D and 2-D periodicity in the spatial and spectral domain. We also obtain their gradients in both domains. Once we know the formulations, numerical techniques that permit an e cient computation of these Green's functions will be described. These techniques are based on convergence acceleration methods such as Ewald's method [4] and Kummer's transformation [3]. In order to compare the computational e ciency of the proposed methods, we program the outlined formulations. Thus, results and conclusions about the convergence rate of each applied technique are proved. The second line of investigation is based on the use of the simulation software FEST3D for the analysis of planar radiofrequency circuits. We will focus on the convergence of the implemented algorithms and the precision that can be obtained in the analysis of this type of circuits. To conclude, future research lines will be presented. %K Teoría de la Señal y las Comunicaciones %K Ecuaciones %K Equations %K Telemática %K Telematics %K 1202.15 Ecuaciones Integrales %K 3325 Tecnología de las Telecomunicaciones %~ GOEDOC, SUB GOETTINGEN