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  1. NTU Theses and Dissertations Repository
  2. 電機資訊學院
  3. 電信工程學研究所
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/32434
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor江衍偉(Yean-Woei Kiang)
dc.contributor.authorChung-Han Hsiehen
dc.contributor.author謝忠翰zh_TW
dc.date.accessioned2021-06-13T03:49:07Z-
dc.date.available2006-07-31
dc.date.copyright2006-07-31
dc.date.issued2006
dc.date.submitted2006-07-25
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[12] D. Hermann, M. Frank, K. Busch, and P. Wolfle, 'Photonic band structure computations,' Opt. Express, vol. 8, no. 3, pp. 167-172, January 2001.
[13] K. Ohtaka, T. Ueta, and K. Amemiya, “Calculation of photonic bands using vector cylindrical waves and reflectivity of light for an array of dielectric rods,” Phys. Rev. B, vol. 57, no. 4, pp. 2550–2568, January 1998.
[14] A. Figotin and Y. A. Godin,” The Computation of Spectra of Some 2D Photonic Crystals,” J. Comput. Phys., vol. 136, no. 2, pp. 585-598, September 1997.
[15] V. Kuzmiak, A.A. Maradudin, and F. Pincemin,” Photonic band structures of two-dimensional systems containing metallic components,” Phys. Rev. B, vol. 50, no. 23, pp. 16835–16844, December 1994.
[16] V. Kuzmiak, A.A. Maradudin, and A.R. McGurn,” Photonic band structures of two-dimensional systems fabricated from rods of a cubic polar crystal,” Phys. Rev. B, vol. 55, no. 7, pp. 4298–4311, February 1997.
[17] V. Kuzmiak and A.A. Maradudin, “Distribution of electromagnetic field and group velocities in two-dimensional periodic systems with dissipative metallic components,” Phys. Rev. B, vol. 58, no. 11, pp.7230-7251, September 1998.
[18] K. Sakoda, N. Kawai, T. Ito, A. Chutinan, S. Noda, T. Mitsuyu, and K. Hirao, “Photonic bands of metallic systems. I. Principle of calculation and accuracy,” Phys. Rev. B, vol. 64, no. 4, pp.045116(1)~(8), July 2001.
[19] T. Ito and K. Sakoda, “Photonic bands of metallic systems. II. Features of surface plasmon polaritons,” Phys. Rev. B, vol. 64, no. 4, pp. 045117(1)~(8), July 2001.
[20] E. Moreno, D. Erni, and C. Hafner,” Band structure computations of metallic photonic crystals with the multiple multipole method,” Phys. Rev. B, vol. 65, no. 15, pp. 155120(1)~(10), April 2002.
[21] L.C. Botten, N.A. Nicorovici, R.C. McPhedran, C. Martijn de Sterke, and A. A. Asatryan, “Photonic band structure calculations using scattering matrices,” Phys. Rev. E, vol. 64, iss. 4, pp. 046603(1)~(18), October 2001.
[22]Allen. Taflove, Susan C. Hagness, Computational Electrodynamics : the Finite-Difference Time-Domain, 2nd ed. Artech House, Boston, 2000.
[23] W. Axmann and P. Kuchment, “An Efficient Finite Element Method for Computing Spectra of Photonic and Acoustic Band-Gap Materials: I. Scalar Case ,” J. Comput. Phys., vol. 150, iss. 2, Pages 468-481, April 1999.
[24] J.B. Pendry and A. MacKinnon,” Calculation of photon dispersion relations,” Phys. Rev. Lett., vol. 69, iss. 19, pp. 2772–2775, November 1992.
[25]Heinz Reather, Surface Plasmons on Smooth and Rough Surfaces and Gratings,”Springer-Verlag, Berlin, 1988.
[26] Dennis M. Sullivan, Electromagnetic Simulation Using the FDTD Method, IEEE Press, New York, 2000.
[27]Chin-ping Yu and Hung-chun Chang, “Compact finite-difference frequency-domain method for the analysis of two-dimensional photonic crystals,” Opt. Express, vol. 12, no. 7, pp. 1397, April 2004.
[28] Chin-ping Yu and Hung-chun Chang, “Yee-mesh-based finite difference eigenmode solver with PML absorbing boundary conditions for optical waveguides and photonic crystal fibers,” Opt. Express, vol. 12, no. 25, pp. 6165, April 2004.
[29] Chien C. Chang,, R. L. Chern, C. Chung Chang, and R. R. Hwang, “Interfacial operator approach to computing modes of surface plasmon polaritons for periodic structures,” Phys. Rev. B, vol. 72, pp.205112(1)~(12), November 2005.
[30]K. Bierwirth, N. Schulz, F. Arndt, “Finite-difference analysis of rectangular dielectric waveguide structure,” IEEE Trans. Micro. Theory and Tech. vol. 34, no. 11 pp. 1104-1114, November 1986.
[31] P. Sheng, R. S. Stepleman, P. N. Sanda, “Exact eigenfunctions for square-wave gratings: Application to diffraction and surface-plasmon calculations,” Phys. Rev. B, vol. 26, iss. 6, pp. 2907–2916, September 1982.
[32] K. Watanabe, 'Study of the differential theory of lamellar gratings made of highly conducting materials,' J. Opt. Soc. Am. A, vol. 23, no. 1, pp. 69-72, January 2006.
[33] D. Gérard, L. Salomon, F. de Fornel, and A. Zayats, 'Analysis of the Bloch mode spectra of surface polaritonic crystals in the weak and strong coupling regimes: grating-enhanced transmission at oblique incidence and suppression of SPP radiative losses,' Opt. Express, vol. 12, no. 16, pp. 3652-3663, July 2004.
[34] F. J. García-Vidal and L. Martín-Moreno , “Transmission and focusing of light in one-dimensional periodically nanostructured metals,” Phys. Rev. B, vol. 66, no. 15, pp. 155412(1)~(10), October 2002.
[35] F. I. Baida, D. Van Labeke, Y. Pagani, B. Guizal, M. Al Naboulsi, “Waveguiding through a two-dimensional metallic photonic crystal,” Journal of Microscopy, vol. 213, pp. 144–148, February 2004.
[36] P. Yeh, C. Gu, Optics of Liquid Crystal Displays, Wiley, New York, 1999.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/32434-
dc.description.abstract本論文中我們提出一修正之頻域有限差分法, 將介質不連續情形作適當修正, 並推展到四種不同材質下的修正式, 解決有尖角存在時的數值困難。我們使用此方法作一些週期性金屬結構在長波長下異常穿透現象的模擬, 並從模擬結果中探討該現象與表面電漿子以及結構中其他模態之間的物理關聯。我們亦提出一個結合液晶特性與異常穿透現象所構成的光開關的概念, 或可用於顯示器上。最後, 我們利用數值方法計算週期性結構的波導問題, 以進一步了解週期性金屬結構之電磁特性。zh_TW
dc.description.abstractIn this thesis, we propose a modified finite-difference frequency-domain method, by taking account of the boundary condition at the interface of different media. We also extend further the formulas to overcome the numerical difficulty of a corner problem where different media are included around the corner. We use the method to simulate the extraordinary transmission phenomenon of periodic metallic structures at long wavelength and discuss its relation to surface plasmons, and other resonant modes of structure. We propose the concept of an optical switch by combining the properties of liquid crystal and the extraordinary transmission phenomenon, which may be useful for display applications. Finally, we also investigate the propagation characteristics of some waveguides formed by defects in metallic photonic crystals. The numerical simulation may help us understand the optical properties of periodic metallic structures.en
dc.description.provenanceMade available in DSpace on 2021-06-13T03:49:07Z (GMT). No. of bitstreams: 1
ntu-95-R93942075-1.pdf: 2568637 bytes, checksum: 46af6a6922a7da66183b59fcd058471d (MD5)
Previous issue date: 2006
en
dc.description.tableofcontents第一章 簡介…………………………………………………………..…1
第二章 數值方法……………………………………………………….3
2.1 時域有限差分法(FDTD)……………………………...………3
2.2 頻域有限差分法(FDFD)…………………………………...…8
2.3 電通密度( )與電場強度( )的關係與處理……….…...…11
2.4網格截斷方法(Mesh Truncation)……………………………..14
2.4.1週期性結構…………………………………………...14
2.4.2 完美匹配層(Perfectly Matched Layer (PML))………15
2.5不同材質交界面(interface)的處理……………………………20
2.5.1平均折射率……………………………………………21
2.5.2 介面算子(interface operator)邊界修正……………...22
2.5.3 滿足邊界條件下FDFD修正式……………………..29
第三章 數值方法驗證比較與結果………………………….36
3.1 數值驗證與比較……………………………………………...36
3.2 十字型結構…………………………………………………...37
3.3 溝槽式反射結構與穿透結構………………………………...41
3.4 金屬光子晶體………………………………………………..49
3.5 光開關設計…………………………………………………..51
第四章 結論………………………………………………………..….91
附錄……………………………………………………………………92
參考文獻………………………………………………………………94
dc.language.isozh-TW
dc.subject頻域有限差分法zh_TW
dc.subjectFDFDen
dc.title修正的頻域有限差分法及其應用zh_TW
dc.titleModified Finite-Difference Frequency-Domain
Method and Its Applications
en
dc.typeThesis
dc.date.schoolyear94-2
dc.description.degree碩士
dc.contributor.oralexamcommittee張宏鈞(Hung-Chun Chang),楊志忠(Chih-Chung Yang),邱奕鵬(Yih-Peng Chiou)
dc.subject.keyword頻域有限差分法,zh_TW
dc.subject.keywordFDFD,en
dc.relation.page97
dc.rights.note有償授權
dc.date.accepted2006-07-26
dc.contributor.author-college電機資訊學院zh_TW
dc.contributor.author-dept電信工程學研究所zh_TW
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