رسالة جامعية
Wave propagation in metamaterials mimicking spacetime geometry: black holes and cosmic strings
| العنوان: | Wave propagation in metamaterials mimicking spacetime geometry: black holes and cosmic strings |
|---|---|
| المؤلفون: | Fernández Núñez, Isabel |
| المساهمون: | Verdaguer Oms, Enric, 1950-, Bulashenko, Oleg, Universitat de Barcelona. Departament de Física Quàntica i Astrofísica |
| المصدر: | Tesis Doctorals - Departament - Física Quàntica i Astrofísica |
| بيانات النشر: | Universitat de Barcelona |
| سنة النشر: | 2018 |
| المجموعة: | Dipòsit Digital de la Universitat de Barcelona |
| مصطلحات موضوعية: | Forats negres (Astronomia), Astrofísica, Difracció, Propagació d'ones, Black holes (Astronomy), Astrophysics, Diffraction, Wave propagation |
| الوصف: | [eng] In physics, it is common to find different phenomena being described by similar equations. A good analogy can make us look at a problem from a different point of view. In that way, ideas may be transferred from one field of science to another, allowing to model new phenomena after previous, well-studied ones. In the case of the field of analogue gravity, systems that mimic certain aspects of the physics of curved spacetimes are studied. In this thesis, we are interested in the analogy between geometry and media. It has been known for several decades that light propagation in a gravitational field is formally equivalent to that in a bianisotropic medium. On the one hand, ray paths are bent due to spacetime curvature. On the other hand, spatial variations of the permittivity and permeability of a material can make light follow curved trajectories. These two phenomena can be related mathematically in the context of transformation optics, which provides the tools to determine the medium parameters necessary to mimic a certain coordinate transformation. Materials with these specific properties are not naturally occurring, therefore, the emergence of metamaterial science at the beginning of the century was needed to realize them. Metamaterials are artificial composite materials with sub-wavelength constitutive elements that exhibit exotic properties. They have been one of the hot topics of the past years given the variety of opportunities they offer: negative refraction, superlenses, indefinite dispersion, invisibility, among many others. In this thesis we study the analogues of two static spacetimes from the point of view of transformation optics: one with spherical symmetry and one with conical geometry. Both cases are inspired by solutions to Einstein’s equations: the Schwarzschild black hole and the cosmic string, respectively. For each case, we derive the permittivity and permeability of the analogous material using Plebanski’s formulation of the electromagnetic constitutive equations. We solve numerically ... |
| نوع الوثيقة: | doctoral or postdoctoral thesis |
| وصف الملف: | 100 p.; application/pdf |
| اللغة: | English |
| العلاقة: | http://hdl.handle.net/2445/125630Test; http://hdl.handle.net/10803/663393Test |
| الإتاحة: | http://hdl.handle.net/2445/125630Test http://hdl.handle.net/10803/663393Test |
| حقوق: | cc-by-nc, (c) Fernández, 2018 ; http://creativecommons.org/licenses/by-nc/3.0Test/ ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.9CED58E4 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |