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arXiv 0912.2649physics.optics
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变换光学中的负index of refraction、时空折叠与完全成像

Negative index of refraction, spacetime folding and perfect imaging in transformation optics

L. Bergamin

摘要:

负折射率已经成为变换光学的一个公认部分,这是在改变流形方向的变换中遇到的。基于这一概念,人们提出了各种完美透镜的设计,它们都依赖于空间或时空的折叠,其中从电磁空间到实验室空间的映射是多值的。最近,Leonhardt和Philbin提出了一种新的完美成像概念,它也使用多值映射,但既不包括负折射率,也不包括渐逝模的放大。在这种情况下,据推测,多值映射应被视为完美成像的基础,而不是放大倏逝模式。从这个角度来看,基于负折射率的标准镜片可能是有用的。在本文中,我们表明,一个负折射率不是一个固有的特性的变换光学,而是出现作为一个特定的选择的一个符号的歧义。此外,我们指出,变换设计的透镜不放大倏逝模,与Pendry-Veselago透镜。相反,像点处的倏逝模由复制源产生,因此不发生近场的成像。

英文摘要:

Negative index of refraction has become an accepted part of transformation optics, which is encountered in transformations that change the orientation of the manifold. Based on this concept, various designs of perfect lenses have been proposed, which all rely on a folding of space or spacetime, where the maps from electromagnetic space to laboratory space are multi-valued. Recently, a new concept for perfect imaging has been proposed by Leonhardt and Philbin, which also uses multi-valued maps, but does neither include negative index of refraction nor an amplification of evanescent modes. In this context it was speculated that multi-valued maps should be seen as the basis of perfect imaging rather than amplification of evanescent modes. It might be useful to review the standard lens based on negative index of refraction from this point of view. In this paper we show that a negative index of refraction is not an inherent characteristic of transformation optics, but rather appears as a specific choice of a sign ambiguity. Furthermore, we point out that the transformation designed lens does not amplify evanescent modes, in contrast to the Pendry-Veselago lens. Instead, evanescent modes at the image point are produced by a duplicated source and thus no imaging of the near field takes place.

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