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首页> 外文期刊>Journal of inverse and ill-posed problems >Born non-scattering electromagnetic media
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Born non-scattering electromagnetic media

机译：出生的非散射电磁介质

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摘要

We consider the propagation of electromagnetic waves in an anisotropic medium. A local perturbation of the vacuum media that does not produce a detectable change in the far field is called non-scattering. Through testing by plane waves,we derive a variational equation characterizing non-scattering perturbations of permittivities and permeabilities to first order, i.e. in the Born approximation. We show that these perturbations can be characterized exactly by four functions. Three of these functions correspond to linearizations of known non-scattering media constructed by diffeomorphisms in transformation optics. The role of the fourth function is not yet understood, although some analytic properties can be derived.
机译：我们考虑电磁波在各向异性介质中的传播。真空介质的局部扰动在远场中不会产生可检测的变化，称为非散射。通过平面波测试，我们导出了一个变分方程，该方程描述了一阶介电常数和磁导率的非散射扰动，即Born近似。我们证明了这些扰动可以用四个函数来精确描述。其中三个函数对应于变换光学中由微分同胚构造的已知非散射介质的线性化。第四个函数的作用还不清楚，尽管可以推导出一些分析性质。

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