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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 曾雪峰 | |
dc.contributor.author | Cheng-Hao Tsai | en |
dc.contributor.author | 蔡政豪 | zh_TW |
dc.date.accessioned | 2021-06-15T01:45:10Z | - |
dc.date.available | 2009-07-22 | |
dc.date.copyright | 2009-07-22 | |
dc.date.issued | 2009 | |
dc.date.submitted | 2009-07-09 | |
dc.identifier.citation | [1] R. G. Newton, 'OPTICAL THEOREM AND BEYOND,' American Journal of Physics, vol. 44, pp. 639-642, 1976.
[2] G. Mie, 'Articles on the optical characteristics of turbid tubes, especially colloidal metal solutions,' Annalen Der Physik, vol. 25, pp. 377-445, 1908. [3] D. Colton and B. D. Sleeman, 'UNIQUENESS THEOREMS FOR THE INVERSE PROBLEM OF ACOUSTIC SCATTERING,' Ima Journal of Applied Mathematics, vol. 31, pp. 253-259, 1983. [4] S. K. Adhikari, 'QUANTUM SCATTERING IN 2 DIMENSIONS,' American Journal of Physics, vol. 54, pp. 362-367, 1986. [5] T. Pakizeh, M. S. Abrishamian, N. Granpayeh, A. Dmitriev, and M. Kall, 'Magnetic-field enhancement in gold nanosandwiches,' Optics Express, vol. 14, pp. 8240-8246, 2006. [6] P. W. Zhai, Y. K. Lee, G. W. Kattawar, and P. Yang, 'Implementing the near- to far-field transformation in the finite-difference time-domain method,' Applied Optics, vol. 43, pp. 3738-3746, 2004. [7] J. D. Destree and T. P. Snow, 'UNIDENTIFIED FEATURES IN THE ULTRAVIOLET SPECTRUM OF X Per,' Astrophysical Journal, vol. 697, pp. 684-692, 2009. [8] V. Villamizar and O. Rojas, 'Time-dependent numerical method with boundary-conforming curvilinear coordinates applied to wave interactions with prototypical antennas,' Journal of Computational Physics, vol. 177, pp. 1-36, 2002. [9] K. S. Yee, 'NUMERICAL SOLUTION OF INITIAL BOUNDARY VALUE PROBLEMS INVOLVING MAXWELLS EQUATIONS IN ISOTROPIC MEDIA,' Ieee Transactions on Antennas and Propagation, vol. AP14, pp. 302-&, 1966. [10] L. Yin, V. K. Vlasko-Vlasov, A. Rydh, J. Pearson, U. Welp, S. H. Chang, S. K. Gray, G. C. Schatz, D. B. Brown, and C. W. Kimball, 'Surface plasmons at single nanoholes in Au films,' Applied Physics Letters, vol. 85, pp. 467-469, 2004. [11] M. Y. Wang, J. Xu, J. Wu, Y. B. Yan, and H. L. Li, 'FDTD study on scattering of metallic column covered by double-negative metamaterial,' Journal of Electromagnetic Waves and Applications, vol. 21, pp. 1905-1914, 2007. [12] E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, 'Negative refraction by photonic crystals,' Nature, vol. 423, pp. 604-605, 2003. [13] S. C. Hagness, A. Taflove, and J. E. Bridges, 'Three-dimensional FDTD analysis of a pulsed microwave confocal system for breast cancer detection: Design of an antenna-array element,' Ieee Transactions on Antennas and Propagation, vol. 47, pp. 783-791, 1999. [14] J. Kim, T. Yoon, and J. Choi, 'Design of an ultra wide-band printed monopole antenna using FDTD and genetic algorithm,' Ieee Microwave and Wireless Components Letters, vol. 15, pp. 395-397, 2005. [15] D. B. Davidson, Computational Electromagnetics for RF and Microwave Engineering: Cambridge university press, 2005. [16] G. F. BOHREN and D. R. HUFFMAN, Absorption and Scattering of Light by Small Particles. New York: Wiley, 1983. [17] A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method. Boston: Artech House, 2005. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/43251 | - |
dc.description.abstract | 本篇論文主要是在討論如何將電磁理論裡的光學定理 (optical theorem) 使用在有限差分時域法 (finite-difference time-domain method) 之中,並且因為二維的有限差分時域法程式攥寫上較為容易所以在此只對二維的光學定理來做討論。首先是改寫光學定理原來的形式,使它能夠使用有限差分時域法裡習慣使用的符號來表示,並且介紹本論文裡為了使用光學定理而使用的額外功能,其中包含有分離散射場於總場的總場散射場技巧 (total-field / scattered-field technique),還有使用近場資料來計算遠場場值的近場至遠場轉換 (near-to-far field transformation ),接著是一般使用上都不可或缺的吸收邊界,在這裡是選用完美吸收邊界 (perfectly matched layer absorbing boundary condition)。最後是用光學定理來計算二維無吸收圓柱的散射截面 (scattering cross section),並且和解析解米氏理論 (Mie theory) 比較後觀察其誤差隨空間解析度的變化,其趨勢大體而言如有限差分時域法所擁有的二階準確度。同時也和其他用來計算散射截面 (scattering cross section) 的方法比較彼此的誤差差異,這些用來比較的方法有使用遠場的雷達截面 (radar cross section) 來計算,還有在近場直接使用散射截面 (scattering cross section) 定義還有消光截面 (extinction cross section) 定義這三種。最後得到的結果是使用光學定理來計算的誤差總是比較大一些,目前認為是因為有限差分時域法的格子點異方性 (anisotropy) 特性所造成的,並且如果針對零度角的光速來修正,可以得到光學定理能有最好的準確度。 | zh_TW |
dc.description.abstract | In this thesis, we discuss how to apply the optical theorem to the finite-difference time-domain method (FDTD). Because it is easier to write the FDTD code in two dimensions, we only investigate the two-dimensional optical theorem. First, we rewrite the form of the optical theorem to conveniently put into execution in the FDTD simulation and introduce some techniques which are used in the FDTD method to practice the optical theorem. There are (1) scattered-field / total-field technique (SFTF), which can separate the scattered field from the total field, (2) the near-to-far field transformation (NTFF), which could calculate the far field from the near-field data, and (3) the perfectly matched layer absorbing boundary condition (PML), which could absorb the electromagnetic wave. Then, we apply the optical theorem to calculate the scattering cross section of the non-absorbing cylinder which has the analytical solution called the Mie theory. With the changes of the grid size, the inaccuracies have the trend approaching to the second order-accuracy of the FDTD method. We also compare the inaccuracy between the different methods which are used to calculate the scattering cross section. The first method is the sum of RCS method. The second and third methods are to apply the definition of the scattering cross section and the definition of the extinction cross section in the near-field region. Finally, we observe that the inaccuracy of the optical theorem is larger than the others and suspect that it is induced by the anisotropy of the FDTD square grids. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T01:45:10Z (GMT). No. of bitstreams: 1 ntu-98-R96941051-1.pdf: 771666 bytes, checksum: fefc52825bdc0718f16d150cc87de222 (MD5) Previous issue date: 2009 | en |
dc.description.tableofcontents | 口試委員會審定書… Ⅰ
誌謝… Ⅱ 中文摘要… Ⅲ 英文摘要… Ⅳ 目錄… Ⅴ 圖目錄… Ⅶ 第一章 序論 1 1-1 前言 1 1-2 本文內容 2 第二章 Optical theorem 4 2-1 Optical theorem簡介 4 2-2 Extinction cross section 5 2-3二維與三維的optical theorem敘述 9 第三章 FDTD簡介 12 3-1 Central difference 12 3-2 Maxwell’s equations 13 3-3 Yee algorithm 17 3-4 Courant limit 23 3-5 Source 25 3-6 The total-field / scattered-field technique 26 3-7 Perfectly matched layer absorbing boundary condition 27 3-8 Near-to-far field transformation 31 第四章 二維Optical Theorem的使用 35 4-1 TMz Mode公式 35 4-2 TMz Mode公式推導 36 4-3 TEz Mode公式 39 4-4 TEz Mode公式推導 40 4-5 FDTD中所需功能 43 第五章 模擬結果與比較 47 5-1 Scattering cross section計算方法 47 5-2 TEz mode模擬結果比較 50 5-3 TMz mode模擬結果比較 57 5-4 Optical theorem誤差原因討論 63 第六章 結論與未來展望 67 6-1結論 67 6-2未來展望 68 參考文獻 70 圖目錄 圖2.1三維optical theorem 基本架構示意圖 4 圖2.2幾何光學的extinction cross section的說明示意圖 8 圖2.3二維 optical theorem座標配置 10 圖3.1 Central difference的斜率示意圖 13 圖3.2 Leapfrog time-stepping的示意圖 18 圖3.3 Yee space lattice 19 圖3.4 SFTF空間配置圖 26 圖4.1 Optical theorem的座標軸定義與FDTD座標軸的定義關係圖 37 圖4.2 Optical theorem 用於FDTD相關功能的空間配置圖 44 圖5.1圓柱體於FDTD中使用的配置圖 49 圖5.2 =1/60 的scattering cross section比較圖 52 圖5.3 =1/100 的scattering cross section比較圖 52 圖5.4 =1/140 的scattering cross section比較圖 53 圖5.5 =1/180 的scattering cross section比較圖 53 圖5.6 R.M.S.對於1/ 作圖 54 圖5.7關於optical theorem的二次近次曲線圖 56 圖5.8關於sum of RCS method的二次近次曲線圖 56 圖5.9關於scattering cross section定義的二次近次曲線圖 56 圖5.10關於extinction cross section定義的二次近次曲線圖 56 圖5.11 =1/60 的scattering cross section比較圖 59 圖5.12 =1/100 的scattering cross section比較圖 59 圖5.13 =1/140 的scattering cross section比較圖 60 圖5.14 =1/180 的scattering cross section比較圖 60 圖5.15四種方法的R.M.S.對於1/ 作圖 61 圖5.16關於optical theorem的二次近次曲線圖 62 圖5.17關於sum of RCS method的二次近次曲線圖 62 圖5.18關於scattering cross section定義的二次近次曲線圖 63 圖5.19關於extinction cross section的二次近次曲線圖 63 圖5.20修正前相對誤差圖 64 圖5.21修正後TSCS圖 65 圖5.22修正後相對誤差圖 65 | |
dc.language.iso | zh-TW | |
dc.title | 光學定理於時域有限差分法光學模擬之應用 | zh_TW |
dc.title | Applying the Optical Theorem in a Finite-Difference Time-Domain Simulation of Light Propagation | en |
dc.type | Thesis | |
dc.date.schoolyear | 97-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 張宏鈞,張世慧 | |
dc.subject.keyword | 有限差分時域法,光學定理,消光截面, | zh_TW |
dc.subject.keyword | finite-difference time-domain method,optical theorem,extinction cross section, | en |
dc.relation.page | 71 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2009-07-09 | |
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 |
顯示於系所單位: | 光電工程學研究所 |
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