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Geometric-optical studies for metamaterial representations of curved spacetime

机译:弯曲时空的超材料表示的几何光学研究

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摘要

Metamaterials offer opportunities to explore curved-spacetime scenarios which would otherwise be impractical or impossible to study. These opportunities arise from the formal analogy that exists between light propagation in vacuous curved spacetime and in a certain nonhomogeneous bianisotropic medium, called a Tamm medium. As the science and technology of nanostructured metamaterials continues its rapid development, the practical realization of Tamm mediums is edging ever closer. We considered two particular curved spacetimes associated with: (a) spinning cosmic strings, and (b) the Alcubierre drive. For both examples, a Tamm medium formulation was developed which is asymptotically identical to vacuum and is therefore amenable to physical realization. A study of ray trajectories for both Tamm mediums was undertaken, within the geometric optics regime. For the spinning cosmic string, it was observed that: (i) rays do not cross the string's boundary; (ii) evanescent waves are supported in regions of phase space that correspond to those regions of the string's spacetime wherein closed timelike curves may arise; and (iii) a non-spinning string is nearly invisible whereas a spinning string may be rather more visible. For the Alcubierre drive, it was observed that: (i) ray trajectories are highly sensitive to the magnitude and direction of the warp bubble's velocity, but less sensitive to the thickness of the transition zone between the warp bubble and its background; and (ii) the warp bubble acts as a focusing lens for rays which travel in the same direction as the bubble, especially at high speeds.
机译:超材料为探索弯曲的时空场景提供了机会,否则将是不切实际或不可能进行研究的。这些机会来自形式上的类比,形式类比存在于空泡弯曲的时空和某种非均质的各向异性介质(称为Tamm介质)之间。随着纳米结构超材料的科学技术的持续快速发展,Tamm介质的实际实现越来越紧密。我们考虑了两个特定的弯曲时空:(a)旋转宇宙弦,(b)Alcubierre驱动器。对于两个实施例,开发了Tamm培养基制剂,其渐进地与真空相同,因此适合物理实现。在几何光学范围内,对两种Tamm介质的射线轨迹进行了研究。对于旋转的宇宙弦,观察到:(i)射线未越过弦的边界; (ii)van逝波被支持在相空间的区域中,该区域对应于弦的时空区域,在该区域中可能会出现类似闭合的时态曲线; (iii)非旋转的字符串几乎不可见,而旋转的字符串则更明显。对于Alcubierre驱动器,观察到:(i)射线轨迹对经向气泡速度的大小和方向高度敏感,但对经向气泡与背景之间过渡区域的厚度较不敏感; (ii)经线气泡充当射线的聚焦透镜,这些光线的方向与气泡相同,尤其是在高速时。

著录项

  • 来源
    《Metamaterials: Fundamentals and applications IV》|2011年|p.80931N.1-80931N.6|共6页
  • 会议地点 San Diego CA(US)
  • 作者单位

    School of Mathematics and Maxwell Institute for Mathematical Sciences,University of Edinburgh, Edinburgh EH9 3JZ, UK;

    School of Mathematics and Maxwell Institute for Mathematical Sciences,University of Edinburgh, Edinburgh EH9 3JZ, UK,NanoMM-Nanoengineered Metamaterials Group, Department of Engineering Science and Mechanics, Pennsylvania State University, University Park, PA 16802, USA;

    NanoMM-Nanoengineered Metamaterials Group, Department of Engineering Science and Mechanics, Pennsylvania State University, University Park, PA 16802, USA,Materials Research Institute, Pennsylvania State University, University Park, PA 16802, USA;

  • 会议组织
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 材料;
  • 关键词

    tamm medium; geometric optics; cosmic spinning string; alcubierre drive;

    机译:tamm培养基;几何光学宇宙纺丝;盘驱动器;

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