Modos intrínsecos localizados y ondas propagatorias en una línea de transmisión pasa banda modulada en tiempo
The study of dynamic transmission lines has been of great interest in several areas of research in recent years, because of this, localized oscillations and wave propagation in transmission lines pass band with non-linear elements (varactors) in each unitary cell modulated by a harmonic voltage sour...
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| Tipo de recurso: | tesis doctoral |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2018 |
| País: | México |
| Institución: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repositorio: | Repositorio Institucional del INAOE |
| Idioma: | español |
| OAI Identifier: | oai:inaoe.repositorioinstitucional.mx:1009/1300 |
| Acceso en línea: | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/1300 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/Inspec/Breathers info:eu-repo/classification/Inspec/Non-linear transmission lines info:eu-repo/classification/Inspec/Wave propagation info:eu-repo/classification/Inspec/Band pass transmission lines info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2203 |
| Sumario: | The study of dynamic transmission lines has been of great interest in several areas of research in recent years, because of this, localized oscillations and wave propagation in transmission lines pass band with non-linear elements (varactors) in each unitary cell modulated by a harmonic voltage source have been extensively studied. In this thesis we have first simulated aspects of localized intrinsic modes (ILMs) or discrete respirators (DBs) in the presence of a defect in a single cell finding that as the inductance or capacitance of this cell is increased, a transition from instability to stability takes place having 2 threshold values in impurity. In addition, for certain modulation frequency values, as well as serial resistance values, multiple secondary ILMs can be created spontaneously where only one ILM matches the impurity site. Also, if two impurities are subcritically spaced (separation increases with the amplitude of voltaje modulation), an ILM may appear halfway between the impurities, with no ILMs at the impurity sites themselves. Finally, an ILM may approach its neighbors only to perish once these ILMs have come close enough. In the second part, the wave propagation in the linear regime has been studied for a realistic description of the elements, starting with the solution of the differential equation obtained by applying the Kirchhoff laws when there is no propagation wave. In this limit, the necessary conditions are obtained so that the voltage in the varactor is approximately (or equal to) the modulation source V(t)≈Vꭥ(t) where V(t). The Bloch-Floquet temporal theorem is then used to obtain an equation of eigenvalues for the travelling wave and its respective band diagram by studying its symmetric properties. Finally, a complete behaviour of the band diagrams has been found for a wide range of modulation frequencies where it is possible to obtain banned bands only in frequency, only in wave vector, in frequency and wave vector or no banned band. |
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