A 3D Finite Element Boundary Integral technique (FE-BI) using mixed-order tangential vector finite elements (TVFE?s) is presented. This technique is used to design two wide band antennas and an ultra wideband (UWB) antenna array. Tetrahedral elements are used for domain discretization because they offer higher flexibility when simulating complex structures. A set of hierarchical mixed-order TVFE?s up to and including order 2.5 is implemented. Hierarchical mixed-order TVFE?s accurately simulate regions with high and low field variations. They also guarantee tangential field continuity across element boundaries and suppress spurious modes. The efficacy of the technique has been tested on two different wide band antennas and an UWB array. The first antenna is designed for automotive applications and covers GPS, GSM, XM, and PCS bands (0.8?3.35 GHz). The second antenna is a double sided rounded bowtie antenna (DSRBA) for UWB communication (3.1-10.6 GHz). The third design is a DSRBA array. For validation purposes, the antennas are also simulated using a commercially available high frequency electromagnetic simulation software, HFSS. Results regarding antenna parameters such as return loss, radiation pattern, and gain are also given.

[pt] O estudo de equaçõe semi-lineares do tipo Ambrosetti-Prodi frequentemente usa regularidade da não linearidade. Nesse texto, consideramos nãoo linearidades Lipschitz. Os argumentos geométricos baseados em teoremas de função implícita são substituidos pelo uso de contrações adequadas. / [en] The study of semi-linear equations of Ambrosetti-Prodi type frequently makes use of some smoothness of the nonlinearity. In this text, we consider Lipschitz nonlinearities. The geometric arguments based on implicit functions thoerems are replaced by appropriate contractive mappings.

The development of wireless communications increases the challenges on antenna performance to improve the capability of the whole system. New fabrication technologies are emerging that not only can improve the performance of components but also provide more options for materials and geometries. One of the advanced technologies, referred to as deep X-ray lithography (XRL), can improve the performance of RF components while providing interesting opportunities for fabrication. Since this fabrication technology enables the objects of high aspect ratio (tall) structure with high accuracy, it offers RF/microwave components some unique advantages, such as higher coupling energy and compacted size. The research presented in that thesis investigates the properties of deep XRL fabricated tall microstrip transmission line and describes some important features such as characteristic impedance, attenuation, and electromagnetic field distribution. Furthermore, since most of traditional feeding structure cannot supply enough coupling energy to excite the low permittivity DRA element (εr≤10), three novel feeding schemes composed by tall microstrip line on exciting dielectric resonator antennas (DRA) with low permittivity are proposed and analyzed in this research. Both simulation and experimental measured results exhibit excellent performance. Additionally, a new simulation approach to realize Dolph-Chebyshev linear series-fed DRA arrays by using the advantages of tall microstrip line feeding structure is proposed. By using a novel T shape feeding scheme, the array exhibits wide band operation due to the low permittivity (εr=5) DRA elements and good radiation pattern due to the novel feeding structure. The tall metal transmission line feed structure and the polymer-based DRA elements could be fabricated in a common process by the deep XRL technology. This thesis firstly illustrates properties and knowledge for both DRA element and the tall transmission line. Then the three novel feeding schemes by using the tall transmission line on exciting the low permittivity DRA are proposed and one of the feeding structures, side coupling feeding, is analyzed through the simulation and experiments. Finally, the T shape feeding structure is applied into low permittivity linear DRA array design work. A novel method on designing the Dolph-Chebyshev array is proposed making the design work more efficient.