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arXiv 0705.3266physics.optics
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平面透镜的远场成像:衍射与超分辨

Far field imaging by a planar lens: diffraction versus superresolution

Nicholas A. Kuhta, Viktor A. Podolskiy, Alexei L. Efros

摘要:

我们解决了长期存在的争议,关于由左手介质制成的平面透镜的成像,并从理论上证明,其远场图像有一个根本不同的起源取决于损失之间的关系{内}的镜头和光的波长$λ$。在足够小的$λ$下,图像总是由衍射理论控制,并且如果Im $ε\ll 1$和Im $μ\ll 1$都是,则分辨率与吸收无关。然而,对于任何有限的$λ$,存在一个临界吸收,低于该临界吸收,超分辨机制发生,尽管该吸收非常低并且几乎不能实现。我们证明了衍射极限和超分辨率制度之间的过渡是由{的}通用参数相结合的吸收,波长和透镜厚度。最后,我们表明,这个参数是有关的表面等离子体波的共振激发。

英文摘要:

We resolve the long standing controversy regarding the imaging by a planar lens made of left-handed media and demonstrate theoretically that its far field image has a fundamentally different origin depending on the relationship between losses {inside} the lens and the wavelength of the light $λ$. At small enough $λ$ the image is always governed by diffraction theory, and the resolution is independent of the absorption if both Im$ε\ll 1$ and Im$μ\ll 1$. For any finite $λ$, however, a critical absorption exists below which the superresolution regime takes place, though this absorption is extremely low and can hardly be achieved. We demonstrate that the transition between diffraction limited and superresolution regimes is governed by {the} universal parameter combining absorption, wavelength, and lens thickness. Finally, we show that this parameter is related to the resonant excitation of the surface plasma waves.

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