Electromagnetic-Energy Flow in Anisotropic Metamaterials: The Proper Choice of Poynting’s Vector
Electromagnetic-Energy Flow in Anisotropic Metamaterials: The Proper Choice of Poynting’s Vector作者机构：Instituto de Física Universidad Nacional Autónoma de México México
出 版 物：《Journal of Modern Physics》 (现代物理（英文）)
年 卷 期：2016年第7卷第12期
页 面：1519-1539页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Poynting Vector Eikonal Electromagnetic-Energy Flux Anisotropic Metamaterials Geometrical Optics
摘 要：We study the controversy about the proper determination of the electromagnetic energy-flux field in anisotropic materials, which has been revived due to the relatively recent experiments on negative refraction in metamaterials. Rather than analyzing energy-balance arguments, we use a pragmatic approach inspired by geometrical optics, and compare the predictions on angles of refraction at a flat interface of two possible choices on the energy flux: and . We carry out this comparison for a monochromatic Gaussian beam propagating in an anisotropic non-dissipative anisotropic metamaterial, in which the spatial localization of the electromagnetic field allows a more natural assignment of directions, in contrast to the usual study of plane waves. We compare our approach with the formalism of geometrical optics, which we generalize and analyze numerically the consequences of either choice.
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