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arXiv 1507.08152physics.opticsgr-qc
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作为黑洞模拟物的各向异性超材料

Anisotropic metamaterial as an analogue of a black hole

Isabel Fernández-Núñez, Oleg Bulashenko

摘要:

研究了光在一种类似于黑洞的弯曲时空的超材料介质中的传播。我们表明,对于一个特定类型的时空和波的极化,时间膨胀表现为介电常数,而空间曲率表现为磁导率。得到了确定各向异性超材料中光线路径(零测地线)的相对论哈密顿量的光学模拟。通过应用形式主义的史瓦西度规,我们比较的光线路径与全波模拟在等效光学介质。

英文摘要:

Propagation of light in a metamaterial medium which mimics curved spacetime and acts like a black hole is studied. We show that for a particular type of spacetimes and wave polarization, the time dilation appears as dielectric permittivity, while the spatial curvature manifests as magnetic permeability. The optical analogue to the relativistic Hamiltonian which determines the ray paths (null geodesics) in the anisotropic metamaterial is obtained. By applying the formalism to the Schwarzschild metric, we compare the ray paths with full-wave simulations in the equivalent optical medium.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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