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研究生:許元耀
研究生(外文):Yuan-Yao Shue
論文名稱:金屬微帶光柵的模型化與在多層光柵問題上的應用
論文名稱(外文):Network Modeling of Metal-Strip Gratings and its Applications to Multi-Grating Problem
指導教授:彭松村彭松村引用關係
指導教授(外文):Song-Tsuen Peng
學位類別:碩士
校院名稱:國立交通大學
系所名稱:電信工程系
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:1999
畢業學年度:87
語文別:中文
論文頁數:73
中文關鍵詞:金屬光柵多層光柵散射矩陣模型化
外文關鍵詞:metal-strip gratingmulti-gratingscattering matrixmodeling
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轉換電磁場的分析成為電路的問題一直是電機工程中的重要課題。如此可以方便實際工程問題之分析與設計。本論文由元件的觀點出發,探討如何將金屬微帶光柵模擬成簡單的T網路模型,避免原本需要精細數值計算如mode-matching, spectral-domain method等的複雜程式,而以等效網路模型替代之。在分析的過程中,先用嚴格的mode-matching method計算得到單一光柵結構的散射參數S,再將散射參數轉為ABCD矩陣,則T模型的等效元件值即可算出。在此亦探討諸如光柵厚度,金屬傳導性,光柵視比,基層介電常數以及入射波之頻率和極化方向等參數變化與模型元件值之間的關係。最後,本論文提供系統性的數據,藉以驗證此簡單的元件模型應用在多層光柵結構,結果發現與嚴格計算甚為一致,充份展現此模型的便利性與實用性。

The modeling of an electromagnetic structure by an equivalent electric network has been the foundation of electrical engineering; it simplifies the analysis and design of electrical systems in general. The main purpose of this thesis is to develop equivalent networks for the class of metal gratings. Specifically, the scattering parameters of a single grating is calculated first by the rigorous method of mode matching, and the results are then transformed into the ABCD matrix from which the circuit elements of an equivalent network are obtained. The extensive numerical results are obtained, including the effects of the grating thickness, the metal conductivity, the aspect ratio, and the substrate. The networks so obtained are then utilized for the analysis of two or more gratings, and it is demonstrated that the network approach can be conveniently applied to the multi-grating case with ease.

第一章 介紹
第二章 原理
2.0幾何結構
2.1單層光柵的理論分析
2.2金屬光柵的數值技巧
2.3多光柵嚴格解
2.4建立光柵的電路模型
2.4.a理想導體薄光柵的元件近似值
2.4.b應用嚴格解萃取元件值
2.4.c由S參數轉換成ABCD矩陣
2.4.d由ABCD矩陣轉換成S參數
2.4.e由ABCD矩陣轉換成T型網路
2.4.f單光柵等效模型串接成多光柵
第三章 數據與討論
3.1單光柵結構
3.2多光柵結構
3.3 Curve Fitting
第四章 結論

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[2] G. L. James,"Surface Reactance of Corrugated Planes", Electronics Letters, vol-15, no.23, 1979.
[3] R. C. Hall et al., "Analysis of Multilayered Periodic Structure Using Generalized Scattering Matrix Theory", IEEE Trans. AP-36, no. 4, April 1988.
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[5] T. Noda, K. Uchida and T. Matsunaga, "Electromagnetic Wave Scattering by an Infinite Plane Metallic Gratings in Case of Oblique Incident and Arbitrary Polarization", IEEE Trans. AP-36, vol.36, no.3, pp.415-422, Mar. 1988.
[6] David M. Pozar, "Microwave engineering", Addison-Wesley Publishing, 1990.
[7] Marco Guglielmi and A. Oliner, "Multimode Network Description of a Planar Periodic Metal-Strip Grating at a Dielectric Interface-Part I: Rigorous Network Formulations", IEEE Trans. MTT, vol.37, no.3, Mar. 1989.
[8] Marco Guglielmi and A. Oliner, "Multimode Network Description of a Planar Periodic Metal-Strip Grating at a Dielectric Interface-Part II: Small-Aperture and Small-Obstacle Solutions", IEEE Trans. MTT, vol.37, no.3, Mar. 1989.
[9] Marco Guglielmi and A. Oliner, "Multimode Network Description of a Planar Periodic Metal-Strip Grating at a Dielectric Interface-Part III: Rigorous Solutions", IEEE Trans. MTT, vol.37, no.5, May. 1989.
[10] Kazuya Kobayashi and Katsutoshi Miura, "Diffraction of a Plane Wave by a Thick Strip Grating", IEEE Trans. AP-37, no.4, Apr. 1989.
[11] T. Noda, K. Uchida and T. Matsunaga, "Scattering of Electromagnetic Plane Wave by Infinite Double Gratings on a Dielectric Slab with Oblique Incident and Arbitrary Polarization", IEICE Trans., vol. E73, no.7, pp.1198-1206, 1990.
[12] S. T. Peng, "Rigorous Analysis of Guided Waves in Doubly Periodic Structures", J. Opt. Soc. Am. A7, no.8, pp.1448-1456, Aug.1990.
[13] Marco G. and D. R. Jackson, "Scattering from a Double-Strip Grating: Rigorous Equivalent Network Formulation", IEEE Trans. AP-39, no.10, 1991.
[14] C.-K.C. Tzuang, C.D. Chen, and S.T. Peng,“Full-Wave Analysis of Lossy Quasi-Planar Transmission Line Incorporating the Metal Modes”, IEEE Trans. MTT, vol.38, pp.1792-1799, Dec. 1990.
[15] C.M. Shiao and S.T. Peng, “Scattering of Plane waves by Metallic Gratings”, IEEE MTT-S, International Microwave Symposium Digest, Session-WE3D.
[16] C.M. Shiao and S.T. Peng, “Effect of Finite Conductivity on Dispersion Characteristics of Grating Waveguide”, J. Electromagnetic Waves and Applications, vol-12, pp.789-800, 1998.
[17] C.M. Shiao and S.T. Peng, “Plane Wave Scattering by Crossed Metal Strip Gratings”, Asia Pacific Microwave Conference, Session-2A18, 1997.

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