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  • 學位論文

以全向量虛軸有限元素波束傳播法分析數種表面電漿波導結構的模態特性

Modal Analysis of Several Surface Plasmonic Waveguides Using a Full-Vectorial Imaginary-Distance Finite-Element Beam Propagation Method

指導教授 : 張宏鈞

摘要


本篇論文中,我們以曲線混合型元素為基底的全向量有限元素虛軸波束傳遞法來分析數種表面電漿波導結構的模態特性。我們分析了由電漿子模態和光子模態混合的混成模態以及洩漏模態。針對不同的材料和結構,我們計算表面電漿波導之等效折射率、傳播長度以及模態場型。關於混成模態,我們改變導體/間隙/介電材料系統中的間隙寬度來了解它對電漿子模態和光子模態成分乃至於傳播特性的影響。至於洩漏模態,我們先討論存在於非對稱槽型表面電漿波導的模態是否為洩漏模態,然後改變金屬條狀波導中的金屬厚度來看它對傳播長度的影響。最後,我們設計一些方法來改善金屬條狀波導的傳播長度。

並列摘要


Modal analysis of surface plasmon polariton (SPP) waveguides using the finite-element imaginary-distance beam propagation method (FE-ID-BPM) is discussed in this thesis. The hybridized mode, which has plasmonic mode component and photonic mode component, and leaky mode are investigated. The effective refractive indices, propagation lengths, and mode field profiles are calculated for different structure parameters. For the hybridized mode, the gap thickness of a conductor-gap-dielectric system is changed to understand its relation to the relative ratio between plasmonic and photonic components and to the propagation characteristics. For the leaky mode, the asymmetric slot waveguide is first examined to see whether the mode is purely leaky or not. Then the thickness of the strip in the metal strip waveguide is varied to examine how it affects the propagation length. Finally, some design to improve the propagation length of the metal strip waveguide is proposed.

參考文獻


Avrutsky, I., R. Soref, and W. Buchwald, "Sub-wavelength plasmonic modes in a conductor-gap-dielectric system with a nanoscale gap," Opt. Express, vol. 18, pp. 348-363, 2010.
Barnes, W. L., A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature, vol. 424, pp. 824-830, 2003.
Berenger, J. P., "A perfectly matched layer for the absorption of electromagnetic
waves," J. Comput. Phys., vol. 114, pp. 185-200, 1994.
Berini, P., "Plasmon polariton modes guided by a metal fi lm of finite width," Opt. Lett., vol. 24, pp. 1011-1013, 1999.

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