Based on the concept of drawing equivalence between different configurations in transformation optics, we introduce a conceptual framework to investigate radiation from accelerating particles using chains of metamaterial atoms with SOI on a metasurface. The framework allows a global geometric picture in visualizing different one-dimensional space-times in general relativity using our two-dimensional metasurface. In particular, chains of metamaterial atoms along different curved lines in generating a common SPP caustic represent the same particle motions observed in difference reference frames, with relative motion through a general-relativistic transformation, such as a Rindler transformation from a reference Minkowski space-time. Such a tool allows us to study particle motions in different space-times in general while the particular geometric understanding provides us unique ways in generating SPP.
Hui Liu, "Mimicking general relativity through plasmonic spin hall effect (Conference Presentation)," Proc. SPIE 10346, Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XV, 103460M (Presented at SPIE Nanoscience + Engineering: August 07, 2017; Published: 29 September 2017); https://doi.org/10.1117/12.2273656.5593138341001.
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