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arXiv physics/0602184physics.optics
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亚波长金属狭缝增强光传输的解析模型:格林函数形式与瑞利展开

Analytical model of the enhanced light transmission through subwavelength metal slits: Green's function formalism versus Rayleigh's expansion

S. V. Kukhlevsky, M. Mechler, O. Samek, K. Janssens

摘要:

我们提出了一个分析模型的共振增强传输的光通过一个亚波长nm大小的狭缝在厚金属膜。利用窄缝近似和麦克斯韦方程组的格林函数形式,导出了透射电磁场和透射系数的简单公式。共振波长与半解析模型[Y. Takakura,Phys. Rev. Lett. 86,5601(2001)],其通过使用瑞利场展开来求解波动方程。然而,我们的公式显示出很大的共振增强的透射波,而瑞利膨胀模型预测衰减。这种差异是由于近场亚波长衍射,这是没有考虑的瑞利展开模型。

英文摘要:

We present an analytical model of the resonantly enhanced transmission of light through a subwavelength nm-size slit in a thick metal film. The simple formulae for the transmitted electromagnetic fields and the transmission coefficient are derived by using the narrow-slit approximation and the Green's function formalism for the solution of Maxwell's equations. The resonance wavelengths are in agreement with the semi-analytical model [Y. Takakura, Phys. Rev. Lett. 86, 5601 (2001)], which solves the wave equations by using the Rayleigh field expansion. Our formulae, however, show great resonant enhancement of a transmitted wave, while the Rayleigh expansion model predicts attenuation. The difference is attributed to the near-field subwavelength diffraction, which is not considered by the Rayleigh-like expansion models.

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