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  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 工程科學及海洋工程學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/9614
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor李佳翰(Jia-Han Li)
dc.contributor.authorYu-Cheng Chueen
dc.contributor.author朱育成zh_TW
dc.date.accessioned2021-05-20T20:31:32Z-
dc.date.available2011-08-04
dc.date.available2021-05-20T20:31:32Z-
dc.date.copyright2008-08-04
dc.date.issued2008
dc.date.submitted2008-07-30
dc.identifier.citation[1] K. S. Yee, 'Numerical solution of initial boundary value problems involving Maxwell's equation in isotropic media,' IEEE Trans. Antennas Propagat., vol. AP-14, pp. 302-307, 1966.
[2] G. E. Moore, 'Cramming more components onto integrated circuits,' Electronics, vol. 38, no. 8, 1965.
[3] J. W. Goodman, Introduction to Fourier Optics, 3rd ed. New York:McGraw-Hill, 2005.
[4] 高宗聖, 蔡定平,'近場光學新視界,' 科學發展, 386期, 22-27頁, 2005.
[5] T. W. Ebbesen, H. J. Lezec, H. F. Ghaemil, T. Thiol, and P. A. WolR, 'Extraordinary optical transmission through sub-wavelength hole arrays,' Nature, vol. 391, pp. 667-669, 1998.
[6] S. Maier, P. Kik, H. Atwater, S. Meltzer, E. Harel, B. Koel, and A. Requicha, 'Local detection of electromagnetic energy transport below the diRraction limit in metal nanoparticle plasmon waveguides,' Nature Mater., vol. 2, pp. 229-232, 2003.
[7] S. K. Gray and T. Kupka, 'Propagation of light in metallic nanowire arrays:Finite-diRerence time-domain. studies of silver cylinders,' Phys. Rev. B, vol. 68, pp. 045415, 2003.
[8] A. Ono, J. Kato, and S. Kawata, 'Subwavelength optical imaging through a metallic nanorod array,' Phys. Rev. Lett., vol. 95, no. 26, pp. 267407-267410, 2005.
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[10] Y. Fu, W. Zhou, and L. E. N. Lim, 'Near-‾eld behavior of zone-plate-like plasmonic nanostructures,' J. Opt. Soc. Am. A, vol. 25, pp. 238-249, 2008.
[11] Y. Fu, W. Zhou, and L. E. N. Lim, 'Propagation properties of plasmonic micro-zone plates with and without fractals,' Appl. Phys. B, vol. 90, pp. 421-425, 2008.
[12] Matthew N. O. Sadiku, Numerical Techniques in Electromagnetics, 2nd ed. CRC Press, 2000.
[13] D. M. Sullivan, 'A simpli‾ed PML for use with the FDTD method,' IEEE Microwave Guided Wave Lett., vol. 6, pp. 97-99, 1996.
[14] A. Talove and S. C. Hagness, Computational Electrodynamics: The Finite-direrence Time-domain Method, 3rd ed. Boston:Artech House, 2005.
[15] R. Luebbers, F. Hunsberger, K. Kunz, and R. Standler, 'A Frequency Dependent Finite DiRerence Time Domain Formulation for Dispersive Materials,' IEEE Trans. Electromagn. Compat., vol. 32, no. 3, pp. 222-227, 1990.
[16] S. Osher and J. A. Sethian, 'Fronts Propagating with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulation,' J. Comput. Phys., vol. 79, pp. 12-49, 1998.
[17] E. Olsson and G. Kreiss, 'A conservative level set method for two phase flow,' J. Comput. Phys., vol. 210, no. 1, pp. 225-246, 2005.
[18] G. Mur, 'Absorbing boundary conditions for the ‾nite-diRerence approximation of the time-domain electromagnetic ‾eld equations,' IEEE Trans. Electromagn. Compact., vol. 23, pp. 377-382, 1981.
[19] E. Godlewski and P.-A. Raviart, Numerical approximation of hyperbolic systems of conservation laws, Berlin:Springer, 1991.
[20] J. P. Berenger, 'A perfectly matched layer for the absorption of electromagnetic waves,' J. Comput. Phys., vol. 114, pp. 185-200, 1994.
[21] Z. S. Sacks, D. M. Kingsland, R. Lee, and J. F. Lee, 'A perfectly matched anisotropic absorber for use as an absorbing boundary condition,' IEEE Trans. Antennas Propagat., vol. 43, pp. 1460-1463, 1995.
[22] S. D. Gedney, 'An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices,' IEEE Trans. Antennas Propagat., vol. 44, pp. 1630-1639, 1996.
[23] Message Passing Interface Forum, 'MPI: A Message Passing Interface Standard,' Version 1.1, 1998. (http://www.mpi-forum.org).
[24] Top500 Supercomputer Sites, 'http://www.top500.org/'.
[25] B. Wilkinson and Michael Allen, Parallel Programming: Techniques and Applications Using Networked Workstations and Parallel Computers, Prentice Hall, 1998.
[26] G. D. Smith, Numerical Solution of Partial DiRerential EquationsIFinite Difference Methods, 3rd ed. USA:Oxford University Press, 1985.
[27] C. F. Bohren and D. R. HuRman, Absorption and Scattering of Light bt Small Particles, New York:Wiley, 1998.
[28] F. L. Pedrotti and L. S. Pedrotti, Introduction to Optics, 2nd ed. Prentice Hall, 1987.
[29] P. B. Johnson and R. W. Christy 'Optical Constants of the Noble Metals,' Phys. Rev. B, vol. 6, pp. 4370-4379, 1972.
[30] M. M. J. Treacy, 'Dynamical diRraction explanation of the anomalous transmission of light through metallic gratings,' Phys. Rev. B, vol. 66, pp. 195105, 2002.
[31] H. Xiao 原著;羅正忠,張鼎張譯, 半導體製程技術導論, 二版 臺北市:臺灣培生教育, 2006.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/9614-
dc.description.abstract本論文分析並模擬具有銀奈米薄膜的菲涅耳波帶片,藉由表面電漿效應及光學繞射行為對光場在聚焦平面上做重建。銀奈米結構的菲涅耳波帶片,其特殊的幾何外型,證實在特定的聚焦平面有光場聚焦特性,並可以應用在奈米微影上。
基於時域有限差分法我們在銀奈米結構的菲涅耳波帶片中研究其聚焦行為,並使用叢集式電腦及訊息溝通介面(message passing interface,MPI)函式庫將序列程式平行化,目的在解決大範圍或複雜結構之電磁場的問題,藉由多處裡器的運算,將大幅增加可使用之記憶體,並能降低運算的時間。
zh_TW
dc.description.abstractThe light intensity rebuilt in the focal plane by Fresnel zone plates in silver films can be described by the plasmonic effects and optical diffraction. We find that the silver Fresnel zone plates with specific geometry can reconstruct the light distribution, and they have the great potential for nanolithography application. Based on the finite-difference time-domain method, we can study the focus properties of silver-nanostructure Fresnel zone plates. The simulation results show that the light enhancement varies with structures.
We use message passing interface library to parallelize our in-house developed finite-difference time-domain software package, which can access more processors and memories by clusters.
en
dc.description.provenanceMade available in DSpace on 2021-05-20T20:31:32Z (GMT). No. of bitstreams: 1
ntu-97-R95525045-1.pdf: 8041677 bytes, checksum: 9c6c9bae735b0c0e9dd4b9888d64a77e (MD5)
Previous issue date: 2008
en
dc.description.tableofcontents誌謝 I
中文摘要 II
Abstract III
研究貢獻 IV
圖示目錄 VII
表格目錄 XI
符號說明 XIII
第一章 序論 1
1.1 前言 1
1.2 研究動機 2
1.3 文獻回顧 2
1.4 本文內容 2
第二章 時域有限差分法 4
2.1 馬克斯威爾方程式 4
2.2 三維時域有限差分法 6
2.3 離散式與Yee的解析方法 8
2.4 入射波源處理 10
2.5 損耗性介質 13
2.6 色散性介質 14
2.7 近似散射體等位函數法 19
2.8 吸收邊界條件(Absorbing Boundary Condition) 20
2.9 數值分析之穩定準則 21
2.10 完美匹配層(Perfectly Matched Layer) 22
2.10.1 Anisotropic Perfectly Matched Layer基本原理 22
2.10.2 離散化處理 25
第三章 平行計算 28
3.1 Message Passing Interface簡介 28
3.2 時域有限差分法的平行化 30
3.2.1 計算機資源 30
3.2.2 序列程式簡介 31
3.2.3 平行化設計方式與計算流程 31
3.3 平行化的效率 35
第四章 程式之驗證 40
4.1 全場與散射場 40
4.2 完美匹配層之討論 40
4.3 三維空間具有解析解的圓球散射 41
第五章 數值模擬結果 48
5.1 傳統光學繞射性質與完美電導體結構之計算結果 48
5.2 銀奈米結構菲涅耳波帶片之設計與結果 51
5.3 不同圈數的菲涅耳波帶片之對解析度與半強度深的影響 52
5.4 雙曲型的菲涅耳波帶片 53
5.4.1 雙凹型的菲涅耳波帶片 53
5.4.2 雙凸型的菲涅耳波帶片 54
第六章 結論 66
6.1 研究成果與討論 66
6.2 未來工作與展望 66
參考文獻 68
附錄A 三維球體散射解析解 71
A.1 向量波方程的解 71
A.2 平面波展開 74
A.3 散射場與內部場 75
附錄B 程式使用說明 76
dc.language.isozh-TW
dc.title利用平行處理之時域有限差分法探討銀奈米結構菲涅耳波帶片之聚焦性質zh_TW
dc.titleThe Study of Focusing Properties of the Silver-Nanostructure Fresnel Zone Plate by Using the Parallel-Computing Finite-Difference Time-Domain Methoden
dc.typeThesis
dc.date.schoolyear96-2
dc.description.degree碩士
dc.contributor.oralexamcommittee許文翰(Tony Wen- Hann Sheu),薛文証(Wen-Jeng Hsueh),蔡坤諭(Kuen-Yu Tsai)
dc.subject.keyword時域有限差分法,菲涅耳波帶片,繞射極限,平行計算,奈米微影,zh_TW
dc.subject.keywordfinite-difference time-domain method,Fresnel zone plate,diffraction limit,parallel computing,nanolithography,en
dc.relation.page69
dc.rights.note同意授權(全球公開)
dc.date.accepted2008-07-31
dc.contributor.author-college工學院zh_TW
dc.contributor.author-dept工程科學及海洋工程學研究所zh_TW
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