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Large phased array antennas are widely used in many military and commercial applications. The analysis of large arrays containing many antenna or frequency-selective (FSS) surface elements is inefficient or intractable when brute force numerical methods are used. For the efficient analysis of such structures hybrid methods (analytic and numerical, numerical and numerical) can be used. In this thesis, a hybrid method combining the uniform geometrical theory of diffraction (UTD) and the moment method (MoM) used for the analysis of large, finite arrays is modified for the efficient yet accurate analysis of large printed dipole arrays. In the present hybrid UTD-MoM approach, the number of unknowns to be solved is drastically reduced as compared to the conventional MoM approach, which provides a great efficiency on the computational cost. This extreme reduction in the number of MoM unknowns is carried out by introducing a few UTD-ray type global basis functions for the unknown array element currents. In this study, this hybrid UTD-MoM method is applied to the analysis of a finite, planar periodic array of printed dipoles on a grounded dielectric substrate. The efficiency and accuracy of this hybrid method are demonstrated with some numerical results.

abstract: Two commercial blade antennas for aircraft applications are investigated. The computed results are compared with measurements performed in the ASU ElectroMagnetic Anechoic Chamber (EMAC). The antennas are modeled as mounted on a 13-inch diameter circular ground plane, which corresponds to that of the measurements. Two electromagnetic modeling codes are used in this project to model the antennas and predict their radiation and impedance characteristics: FEKO and WIPL-D Pro. A useful tool of WIPL-D Pro, referred to as WIPL-D Pro CAD, has proven to be convenient for modeling complex geometries. The classical wire monopole was also modeled using high-frequency methods, GO and GTD/UTD, mounted on both a rectangular and a circular ground plane. A good agreement between the patterns of this model and FEKO has been obtained. The final versions of the solvers used in this work are FEKO (Suit 6.2), WIPL-D Pro v11 and WIPL-D Pro CAD 2013. Features of the simulation solvers are presented and compared. Simulation results of FEKO and WIPL-D Pro have good agreements with the measurements for radiation and impedance characteristics. WIPL-D Pro has a much higher computational efficiency than FEKO. / Dissertation/Thesis / M.S. Electrical Engineering 2014

Drei numerische Feldberechnungsverfahren - die Momentenmehtode, die Einheitliche Geometrische Beugungstheorie und die Verallgemeinerte Multipoltechnik - werden schrittweise zu einer Erweiterten Hybridmethode (EHM) kombiniert. Dabei wird jeder einzelne Kombinationsschritt anschaulich anhand von Beispielen erläutert, die den Vorteil der EHM verdeutlichen: Mit diesem Verfahren lassen sich bestimmte Anordnungen äußerst effektiv analysieren.

Drei numerische Feldberechnungsverfahren - die Momentenmehtode, die Einheitliche Geometrische Beugungstheorie und die Verallgemeinerte Multipoltechnik - werden schrittweise zu einer Erweiterten Hybridmethode (EHM) kombiniert. Dabei wird jeder einzelne Kombinationsschritt anschaulich anhand von Beispielen erläutert, die den Vorteil der EHM verdeutlichen: Mit diesem Verfahren lassen sich bestimmte Anordnungen äußerst effektiv analysieren.

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No description available.

[pt] O problema do cálculo de cobertura em sistemas celulares operando em regiões urbanizadas tem sido bastante estudado por diversos autores, existindo um conjunto de métodos de previsão amplamente testados e implementados em ferramentas computacionais. Atualmente, com a aplicação da tecnologia celular a sistemas de transmissão de dados de faixa larga, o foco dos estudos nesta área deslocou-se para o cálculo de cobertura em micro e picocélulas. Este trabalho apresenta uma revisão dos principais métodos empíricos para a previsão da propagação em sistemas micro e picocelulares. A seguir é realizado o estudo de uma técnica mais precisa para estes cálculos, empregando traçado de raios e o rastreamento do campo eletromagnético ao longo dos mesmos segundo a Teoria Uniforme da Difração (UTD). É desenvolvido todo um conjunto de algoritmos para a aplicação do traçado de raios, considerados os problemas de reflexão, refração (transmissão) e difração num cenário tridimensional (problema vetorial). A difração é tratada a partir da generalização das formulações assintóticas disponíveis para tratar o espalhamento por obstáculos perfeitamente condutores. Parte destes algoritmos, referentes aos problemas de reflexão múltipla, foi implementada em linguagem C++ e alguns exemplos de aplicação são apresentados neste trabalho. / [en] The problem of the electromagnetic coverage in cellular systems designed to operate in urban regions has being massively studied by many authors, existing a set of prediction models largely tested and implemented in computational tools. Nowadays, with the application of the cellular technology in broadband data transmission systems, the focus of the research in this area has moved to the coverage computation in micro and picocells. This work presents a review of the main empirical methods for the propagation prediction in micro and picocellular systems. Following it, a study is made of a more precise technique for these computations, employing ray tracing and the tracking of the electromagnetic field in each point of the ray trajectory by using the Uniform Theory of Diffraction (UTD). It is developed a pack of algorithms for the application of the ray tracing techniques, to the problems of reflection, refraction (transmission through slabs) and diffraction in a tridimensional scene (vectorial problem). Diffraction is dealed with by extending available asymptotic formulations for scattering by perfectly conducting obstacles. A portion of these algorithms, refering to the problem of multiple reflections, has been implemented in a C++ computer code and applied herein to selected case studies. / [es] El problema del cálculo de cobertura en sistemas celulares que operan en regiones urbanizadas ha sido bastante estudiado por diversos autores. Como resultado, existe un conjunto de métodos de previsión ampliamente probados e implementados computacionalmente. Actualmente, con la aplicación de la tecnología celular a sistemas de transmisión de datos de larga faja, el foco de los estudios en esta área ha pasado a ser el cálculo de cobertura en micro e picocélulas. Este trabajo presenta una revisión de los principales métodos empíricos para la previsión de propagación en sistemas micro e picocelulares. A seguir se estudia una técnica más precisa para estos cálculos, que utiliza trazado de rayos y rastreamiento del campo eletromagnético según la Teoría Uniforme de la Difracción (UTD). Se desarrolla un conjunto de algoritmos para la aplicación del trazado de rayos, considerando los problemas de reflexión, refracción (transmisión) y difracción en un escenario tridimensional (problema vectorial). La difracción es tratada a partir de la generalización de las formulaciones asintóticas disponibles para tratar la dispersión por obstáculos perfectamente conductores. Una parte de estos algoritmos, referidos a los problemas de reflexión múltiple, fueron implementada en lenguaje C++ y algunos ejemplos de aplicación se apresentan en este trabajo.

Today there is a great need for communication between people and even between things, using systems onboard e.g. aircraft, cars, ships and satellites. As a consequence, these communications needs require antennas mounted on or integrated in the surfaces of different vehicles or platforms, i.e. conformal antennas. In order to ensure proper operation of the communication systems it is important to be able to determine the characteristics of these antennas. This thesis is about the analysis and design of conformal antennas using high frequency asymptotic methods. Commonly used eigenfunction solutions or numerical methods such as FDTD, FEM or MoM are difficult to use for arbitrarily shaped electrically large surfaces. However, the high frequency approximation approach together with an accurate ray tracing procedure offers a convenient solution for these surfaces. The geodesics (ray paths) on the surfaces are key parameters in the analysis and they are discussed in detail. In the first part of the thesis singly and doubly curved perfectly electrical conducting (PEC) surfaces are studied, with respect to the mutual coupling among aperture type elements. A synthesis problem is also considered where the effect of the mutual coupling is taken into account. As expected, the mutual coupling must be included in the synthesis procedure to be able to realize the prescribed pattern, especially in the shaped main lobe. Furthermore, the polarization of the antenna elements is very important when considering antennas on generally shaped surfaces. For such antennas the polarization must most likely be controlled in some way for a proper function. For verification of the results two experimental antennas were built at Ericsson Microwave Systems AB, Mölndal, Sweden. The first antenna is a circular cylinder with an array of rectangular waveguide fed apertures and the second antenna is a doubly curved surface (paraboloid) with circular waveguide fed apertures. It is found that it is possible to obtain very accurate results with the asymptotic method when it is combined with the Method of Moments, i.e. a hybrid method is used. The agreement compared to measurements is good at levels as low as –80 dB in many cases. The second part of the thesis is about the development of a high frequency approximation for surface field calculations on a dielectric covered PEC circular cylinder. When using conformal antennas in practice they have to be covered with a radome for protection and with the method developed here this cover can be included in the analysis. The method is a combination of two different solutions, one valid in the non-paraxial region of the cylinder and the other is valid in the paraxial region. The method is verified against measurements and reference results obtained from a spectral domain moment method code. / QC 20100616

En esta tesis se presenta un método para analizar antenas montadas sobre estructuras arbitrarias. La Optica Geométrica (GO) y la Teoría Uniforme de la difraccion (UTD), han sidoempleadas para analizar los efectos que la estructura produce sobre el diagrama de radiación de la antena emisora. Para la descripción geométrica de la estructura, han sido utilizados parches NURBS (Non Uniform Rational B-Spline), por lo que el método presentado, es compatible con la mayoría de los programas gráficos disponibles en el mercado.EL tratamiento de geometrías arbitrarias requiere un código eficiente en el análisis de tres dimensiones.Por otro lado, para obtener resultados satisfactorios, la descripción de la superficie de la estructura, debe ser muy próxima al modelo real, sin embargo, esto complica el tratamiento computacional. Aquí la estructura es modelada mediante un conjunto de parches NURBS, que unidos entre sí, describen el modelo completo. Esta descripción permite manipular superficies arbitrarias con un bajo numero de parches, lo que significa un volumen de información reducido.La descripción inicial por NURBS del modelo, es acompañada con información complemetaria como por ejemplo: la tipología de las superficies, las curvas frontera, el tipo de material, etc. Esto es imprescindible para la aplicación de criterios de selección dedicados a la aceleración del proceso.El método tras leer la descripción del modelo, descompone los parches NURBS en superficies racionales de Bezier. Un parche de Bezier es también una superficie paramétrica definida en términos de una combinación lineal de los polinomios de Bernstein.Las antenas son modeladas usando modelos numéricos simples basados en agrupaciones de dipolos infinitesimales eléctricos y magnéticos. Esta caracterización de la antena es muyventajosa ya que con un numero reducido de datos de entrada, la fuente queda definida para cualquier dirección del espacio y el valor del campo radiado puede ser calculado fácilmente.El análisis electromagnético de los efectos que contribuyen al campo dispersado por la geometría comienza con una selección rigurosa de la geometría iluminada desde la fuente.Unicamente los parches de Bezier iluminados serán almacenados por el ordenador durante el análisis. La filosofía de este proceso es descartar aquella parte de la geometría que no contribuye a los efectos de dispersión.El campo total calculado es la superposición de los siguientes efectos pertenecientes a la GO y a la UTD: campo directo procedente de la fuente, campo reflejado por los parches de Bezier, campo difractado por las aristas del modelo definidas como curvas de Bezier, ondas de superficie, dobles reflexiones, reflexione-difraccion y difraccion-reflexión. El método ha sido diseñado para analizar campo cercano y lejano. El mayor gasto computacional se debe a la búsqueda de los puntos de dispersión, por lo que antes de emplear los algoritmos de intersección es necesario aplicar un conjunto de criterios rápidos dependientes de la dirección de observación.El principio de Fermat en combinación con el Gradiente Conjugado (CGM) es usado para obtener de manera eficiente los puntos de dispersión sobre la estructura. Para cada efecto, laposible ocultación de la trayectoria completa del rayo es examinada, por ello, si el rayo corta alguno de los parches de Bezier su contribución será descartada. Los dobles efectos son tratados como una generalización de los simples efectos.El método desarrollado es eficiente ya que precisa de un numero reducido de superficies para modelar objetos complejos lo que se traduce en bajos requerimientos de memoria y reducidos tiempos de calculo. / In this thesis a method to analyze antennas on board of complex bodies is presented. The Geometrical Optics (GO) and Uniform Theory of Diffraction (UTD) have been used to analyze the effect of the structure in the radiation pattern of the antennas. The bodies are geometrically modelled by using NURBS (Non Uniform Rational B-Spline) surfaces. In addition to be accurate and efficient, the method is compatible with most of the modern CAGD (Computer Aided Geometric Design) available programs.The treatment of arbitrary geometries requires a code which can carry out an efficient 3D analysis. To obtain accurate results the description of the surface must be close to the real model, however this complicates the computational procedure. Here the structure is modeled by a collection of individual N.U.R.B.S. surface patches joined to form a complete description of the surface model. The NURBS description is able to manipulate free form surfaces with a low number of patches, and therefore, with a low amount of information. The initial description of the model by NURBS surfaces is accompanied with other complementary data for example : the topology of the surfaces, the boundary curves, the types of material and other inputs. It is very interesting to apply criteria to make the complete analysis faster.The method reads the NURBS description of the model and transforms the NURBS into the rational BEZIER surfaces. A rational BEZIER patch is also a parametric surface defined in terms of a linear combination of Bernstein polynomials.The antennas are modelled using simple numerical models based on arrays of electric and magnetic infinitesimal dipoles. This antenna modelization is very advantageous because with a little input data, the source is defined in any direction and the field value is readily accessible.The electromagnetic analysis of the contributive effects to the scattering field by the geometry, starts with the rigorous selection of the geometry illuminated from the source. Only the Bezier patches illuminated will be in memory of the computer during the analysis. The philosophy of this previous process is to discard in the process the part of the geometry which does not contribute to the scattering effects.The total field is the superposition of the following GO and UTD field components: direct field from the source, reflected fields from the Bezier patches of the model, diffracted fields from the arbitrary edges defined as a Bezier curves, creeping waves, double reflected field and diffracted-reflected and reflected-diffracted fields. The search of specular and diffraction points are the most CPU time consuming, thus before using the intersection algorithms it is necessary to apply a set of fast selection criteria which depend on the observation direction.The Fermat principle in conjunction with the Conjugate Gradient Method (CGM) is used for obtaining efficiently the reflection points and diffraction points on the structure. For each effect the complete ray path is examined to see whether or not it is interrupted by any Bezier patch of the model, in this case the field component is not computed. The double effects are treated using a generalization of the single effects algorithms. The method has been developed to analyze the near and far field cases for different frequencies.The developed method is quite efficient because it makes use of a small number of surfaces to model complex bodies, so it requires few memory and low computing time.