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  1. NTU Theses and Dissertations Repository
  2. 電機資訊學院
  3. 光電工程學研究所
Please use this identifier to cite or link to this item: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/46108
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???org.dspace.app.webui.jsptag.ItemTag.dcfield???ValueLanguage
dc.contributor.advisor張宏鈞(Hung-Chun Chang)
dc.contributor.authorJia-Wei Hsuen
dc.contributor.author許家瑋zh_TW
dc.date.accessioned2021-06-15T04:54:13Z-
dc.date.available2011-08-26
dc.date.copyright2011-08-26
dc.date.issued2011
dc.date.submitted2011-08-24
dc.identifier.citation[1] Alsunaidi, M. A., Ahmad A. AI-Jabr, “A General ADE-FDTD Algorithm for the simulation of Dispersive Structures,” IEEE Photonics Tech. Lett., vol. 21, pp. 817-819, 2009.
[2] Bernard, L., Ruben Rodriguez Torrodo, and Lionel Pichon, “Efficient Implemen- tation of the UPML in the Generalized Finite-Difference Time-Domain Method,” IEEE Trans. Magnetics, vol. 46, pp. 3492-3495, 2010.
[3] Byelobrov, O. B., Trevor M. Benson, Jiri Ctyroky, Ronan Sauleau, and Alexander I. Nosich, “Plasmon and Structure Resonances in the Scattering of Light by a Periodic Chain of Silver Nanocylinders,” IEEE ICTON, pp. 1-3, 2010.
[4] Cheng, D. K., Field and Wave Electromagnetics, second edition, Addison Wesley, 1989.
[5] Cubukcu, E., Federico Capasso, “Optical nanorod antennas as dispersive one- dimensional Fabry-Perot resonators for surface plasmons,” Appl. Phys. Lett., vol. 95, 201101, 2009.
[6] Davidson, D. B., Computational Electromagnetics for RF and Microwave Engi- neering, second edition, Cambridge University Press, 2005.
[7] Demir, V., Atef Z. Elsherbeni and Ercument Arvas, “FDTD formulation for Dis- persive Chiral Media Using the Z Transform Method,” IEEE Trans. Antennas Propagat., vol. 53, pp. 3374-3384, 2005.
[8] Ding, P. P., Gaofeng Wang, Hai Lin, and Bing-Zhong Wang, “Unconditionally Stable FDTD Formulation With UPML-ABC,” IEEE Microsave and Wireless Components Lett., vol. 16, pp. 161-163, 2006.
[9] Fu, J. H., Fan-Yi Meng, Guo-Hui Yang, and Qun Wu, “Analysis of The Double Negative Metamaterials using FDTD,” Microwave Opt. Tech. Lett., vol. 50, pp. 1411-1414, 2008.
[10] Gamma, E., Richard Helm, Ralph Johnson, and John Vlissides, Design Pat- terns: Elements of Reusable Object-Oriented Software, Addison-Wesley Profes- sional, 1994.
[11] Garcia-Vidal, F. J., H. J. Lezec, T. W. Ebbesen, adn L. Martin-Moreno, “Multiple Paths to Enhance Optical Transmission through a Single Subwavelength Slit,” Phys. Rev. Lett., vol. 90, 213901, 2003.
[12] Harrington, R. F., Time-Harmonic Electromagnectic Fields (reissued), Wiley- IEEE Press, 2001.
[13] Kawaguchi, H., Yuya Fujita, Yoshiyuki Fujishima and Shun-suke Matsuoka, “Im- proved Architecture of FDTD/FIT Dedicated Computer for Higher Performance Computation,” IEEE Trans. Magnetics, vol. 44, pp. 1226-1229, 2008.
[14] Kelley, D. F., R. J. Luebbers, “Piecewise Linear Recursive Convolution for Disper- sive Media Using FDTD,” IEEE Trans. Antennas Propagat., vol. 44, pp. 792-797, 1996.
[15] Li, D., Costas D. Sarris, “FDTD Lattice Termination with Periodic Boundary Conditions,” IEEE ICMSD, pp. 329-332, 2009.
[16] Maier, S. A., Plsmonics: Fundamentals and Applications, Springer, 2007.
[17] Mateus, C. F. R., Michael C. Y. Huang, Yunfei Deng, Andrew R. Neureuther and Connie J. Chang-Hasnain, “Ultrabroadband Mirror Using Low-Index Cladded Subwavelength Grating,” IEEE Photonics Tech. Lett., vol. 16, pp. 518-520, 2004.
[18] Mao, Y., Chaomeng Zhou and Jian Zhang, “Implementation of UPML for Weakly Conditionally Stable FDTD in Periodic Structures,” IEEE ICUWB, pp. 1-3, 2010.
[19] Ng, N. Y., Wei-Chih Liu, “Local-field confinement in three-pair arrays of metallic nanocylinders,” Opt. Exp., vol. 14, pp. 4504-4513, 2006.
[20] Palik, E. D., Handbook of Optical Constants of Solids, Academic Press, 1997.
[21] Pozar, D. M., Microwave Engineering, third edition, Wiley, 2004.
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[23] Rosenberg, J., Rajeev V. Shenoi, Thomas E. Vandervelde, Sanjay Krishna, and Oskar Painter, “A multispectral and polarization-selective surface-plasmon reso- nant midinfrared detector,” Appl. Phys. Lett, vol. 95, 161101, 2009.
[24] Saleh, B. E., Malvin Carl Teich Fundamentals of Photonics, second edition, Willy- Interscience, 2007.
[25] Sebesta, R. W., Concepts of Programming Languages, eighth edition, Addison Wesley, 2007.
[26] Shibayama, J., Ryoji Ando, Akifumi Nomura, Junji Yamauchi and Hisamatsu Nakano, “Simple Trapezoidal Recursive Convolution technique for the Frequency- Dependent FDTD Analysis of a Drude-Lorentz Model,” IEEE Photonics Tech. Lett., vol. 21, pp. 100-102, 2009.
[27] Sullivan, D. M., “A Simplified PML for Use with the FDTD method,” IEEE Microwave Guided Wave Lett., vol. 6, pp. 97-99, 1996.
[28] Sullivan, D. M., “An Unsplit Step 3-D PML for Use with the FDTD Method,” IEEE Microwave Guided Wave Lett., vol. 7, pp. 184-187, 1997.
[29] Taflove, A., Susan C. Hagness, Computational Electrodynamics: The Finite- Difference Time-Domain Method, third edition, Artech House, 2005.
[30] Todorov, Y., L. Tosetto, J. Teissier, A. M. Andrews, P. Klang, R Colombelli, I Sagnes, G. Strasser and C. Sirtori “Optical properties of metal-dielectric-metal microcavities in the THz frequency range,” Opt. Exp., vol. 18, pp. 13866-13907, 2010.
[31] Wait, J. R., “Scattering of A Plane Wave from Circular Dielectric Cylinder at Oblique Incidence,” Can. J. Phys., vol. 33, pp. 189-195, 1955.
[32] Wei, Q., S. Crozier, L. Xia and F. Liu, “Object-Oriented Designed Finite- difference Time-domain Simulator for Electromagnetic Analysis and Design in MRI,” IEEE EMBS, pp. 1116-1119, 2004.
[33] Yariv, A., Pochi Yeh, Photonics: Optical Electronics in Modern Communications, sixth edition, Oxford University Press, 2007.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/46108-
dc.description.abstract本篇論文試圖引入物件導向來重新設計有限差分時域法之架構,並應用於實際結構。
由於在傳統推導的公式下,各種元件難以分離運作,多數實做皆採用程序式寫法。
程序式寫法之優點為易於將數學公式程式化,相對代價則為在模擬條件不同的情況下,程式需要大幅改寫才能適用。
本論文論述將馬克士威方程式重新分割並拆解為不同程式片段之方法,並予以實作。
為了在實作中良好組合各元件,我們自行設計了一組新的設計模式單次裝飾器。
利用此設計模式能對主要元件自由進行方法擴充,覆寫,和委任。
最後此實作被實際利用在幾個色散電漿子介質結構的模擬。
zh_TW
dc.description.abstractIn this thesis we propose a modern architecture of the Finite-Difference Time-Domain method through importing concepts
of Object-Oriented Programming and apply to real world structures. Most implementations are created in procedural style
even in a language supporting Object-Oriented Programming due to the difficulty to separate components from the main
program in traditional formulas. Procedural style is intuitive to transform formulas into codes. However, it needs
considerable changes to suit different cases. Modularized Maxwell's equations are discussed and transformed into codes in
this thesis. For assembling components well, we design a new Design Pattern to extend, overwrite, and delegate methods to
the main component. Finally this implementation is applied to simulations of some dispersive plasmonic structures.
en
dc.description.provenanceMade available in DSpace on 2021-06-15T04:54:13Z (GMT). No. of bitstreams: 1
ntu-100-R98941103-1.pdf: 2764020 bytes, checksum: 77825a3faeff382d5c8901e5c1227800 (MD5)
Previous issue date: 2011
en
dc.description.tableofcontents1 Introduction ... 1
1.1 Motivations ... 1
1.2 Chapter Outline ... 3
2 The Finite-Difference Time-Domain Method ... 4
2.1 The Algorithm ... 4
2.1.1 Finite Difference ... 5
2.1.2 The Update Equations ... 6
2.1.3 Reduction to One Dimension ... 12
2.1.4 Reduction to Two Dimensions ... 12
2.2 Incident Source Conditions ... 14
2.3 Boundary Conditions ... 15
2.3.1 Analytic Absorbing Boundary Conditions ... 16
2.3.2 Perfectly Matched Layer Absorbing Boundary Conditions ... 16
2.3.3 Periodic Boundary Conditions ... 20
2.4 Dispersive Material ... 20
2.4.1 Common Isotropic Dispersive Materials ... 21
2.4.2 Dispersive-Compatible Update Equations ... 23
2.5 Modeling of Objects ... 26
2.5.1 Center Shift ... 26
2.5.2 Modeling Scheme ... 26
3 The yaFDTD Framework ... 30
3.1 Yet Another FDTD Framework ... 30
3.2 Once Decorator ... 32
3.3 Freespace Component ... 34
3.4 PBC Component ... 35
3.5 UPML Component ... 36
3.6 TF/SF Component ... 37
3.7 Dispersion Component ... 38
3.8 MPI Edge Component ... 40
4 Applications About Surface Plasmon Structures ... 45
4.1 Examination ... 45
4.2 Silver Rods Open Cavity ... 46
5 Conclusions ... 67
Bibliography ... 69
dc.language.isoen
dc.subject軟體架構zh_TW
dc.subject有限時域差分法zh_TW
dc.subject物件導向zh_TW
dc.subjectFDTDen
dc.subjectObject-Oriented Programmingen
dc.subjectSoftware Architectureen
dc.title有限時域差分法之軟體架構與應用zh_TW
dc.titleModern Software Architecture of the Finite-Difference Time-Domain Numerical Model and Its Applicationsen
dc.typeThesis
dc.date.schoolyear99-2
dc.description.degree碩士
dc.contributor.oralexamcommittee鄧君豪(Chun-Hao Teng),陳中平(Chung-Ping Chen)
dc.subject.keyword有限時域差分法,物件導向,軟體架構,zh_TW
dc.subject.keywordFDTD,Software Architecture,Object-Oriented Programming,en
dc.relation.page72
dc.rights.note有償授權
dc.date.accepted2011-08-24
dc.contributor.author-college電機資訊學院zh_TW
dc.contributor.author-dept光電工程學研究所zh_TW
Appears in Collections:光電工程學研究所

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