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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 楊照彥(Jaw-Yen Yang) | |
dc.contributor.author | Guan-Wei Wang | en |
dc.contributor.author | 王冠瑋 | zh_TW |
dc.date.accessioned | 2021-06-16T13:44:48Z | - |
dc.date.available | 2014-07-11 | |
dc.date.copyright | 2013-07-11 | |
dc.date.issued | 2013 | |
dc.date.submitted | 2013-07-09 | |
dc.identifier.citation | [1] Y. H. Qian, D. d’Humieres and P. Lallemand, “Lattice BGK models for Navier-Stokes equation,” Europhys. Lett., 17 (6), 1992, pp. 479-484.
[2] P. L. Bathnagar , E. P. Gross, and M. Krook, “A model for collision processes in gases. I. small amplitude processes in charged and neutral one-component systems,” Phys. Rev., Vol. 94, 511, 1954. [3] Z. L. Guo, G.G. Zheng, and B.C. Shi, “Discrete lattice effects on the forcing terms in the lattice Boltzmann method,” Physical Review E, Volume 65, 046308, 2002. [4] M. Mendoza and J. D. Munoz, “Three dimensional lattice Boltzmann model for magnetic reconnection,” Physical Review E 77, 026173, 2008. [5] M. Mendoza and J. D. Munoz, “Three dimensional lattice Boltzmann model for electrodynamics,” Physical Review E 82, 056708, 2010. [6] P. J. Dellar, “Electromagnetic waves in lattice Boltzmann magnetohrodynamics,” Europhys. Lett., 90 50002, 2010. [7] M. Mendoza and J. D. Munoz, “A reliable lattice-Boltzmann solver for electrodynamics: new applications in non-linear media ,” Progress In Electromagnetics Research Symposium Proceedings, Marrakesh, Morocco, Mar. 20-23, 2011, 1633. [8] S. M. Hanasoge, S. Succi , and S. A. Orszag, “Lattice Boltzmann method for electromagnetic wave propagation,” Europhys. Lett., 96 14002, 2011. [9] Y. H. Liu,“A multi-energy-level lattice Boltzmann model for Maxwell’s equations without source,” Journal of Electrostatics 69, 2011, pp.564-570. [10] A. Taflove, C. H. Susan, “Computational electrodynamics: the finite-difference time-domain method,” third edition, Artech house, 2003. [11] 郭照立、鄭楚光,”格子Boltzmann方法的原理及應用”,北京:科學出版社,2008年 [12] F. K. Eugene, F. S. John , and T. T. Michael, “Radar cross section,” second edition, Artech house, 1993. [13] K. Umashankar and A. Taflove, “A novel method to analyze electromagnetic scattering of complex object,” IEEE Trans. Electromagn. Compat., vol., EMC-25, pp 433-440, 1983. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/62379 | - |
dc.description.abstract | 本研究基於三維晶格波茲曼方法,先證明虛擬粒子的分布函數可以重建馬克斯威方程組和電荷守恆方程式。然後應用晶格波茲曼方法,模擬不同極化方向且不同形狀金屬,其對於單一脈衝入射後的散射情形。
主要完成的工作有:基於三維波茲曼的晶格模型,以及電場、磁感應場和電流等宏觀量假設,用Chapman-Enskog展開晶格波茲曼BGK方程式,證明晶格波茲曼BGK方程式能滿足宏觀的電荷守恆定律、安培定律和法拉第定律。此外提出平均磁場的定義,改寫原來三維晶格波茲曼模型的安培定律,使安培定律符合SI單位系統下的常用定義。本研究者提出數學上簡單幾何形狀的表達形式,用雙曲正切函數加減、相乘、平移和放大等技巧,描述二維之長方形、圓形、菱形的物體,將可以應用於介電物質、金屬或導磁物質等建構。最後模擬TEz和TMz極化方向入射的脈衝波,探究電磁波打到圓形金屬、長方形金屬、菱形金屬後所造成的散射場差異,並且計算金屬物體之圓周方位接收到的回音寬強度。 研究目的主要藉由三維晶格波茲曼模型,模擬不同極化方向、不同幾何形狀金屬的電磁散射情形。首先以電磁波在一維介電質的傳播,測試晶格波茲曼模型。之後電磁波入射到一維金屬交界面,觀察電磁波的反彈情形及模型可靠性。最後討論因為極化方向不同,造成爬行波存在與否,對散射結果的不同。另外比較菱形金屬與其他兩種形狀的金屬,所產生的散射圖形差異。 | zh_TW |
dc.description.abstract | This research adopts a D3Q13 lattice Boltzmann method and proves that Maxwell’s equations and continuity of charge can be reconstructed by distribution functions of virtual particles. Then the lattice Boltzmann method is applied to the simulation of electromagnetic scattering. Different polarized pulses and different shaped metals are considered here.
The works are as followed: the lattice BGK equations are Chapman-Enskog expanded to get the continuity of charge, Ampere’s law and Faraday’s law. Besides, the researcher proposes the mean magnetic field, rewriting the Ampere’s law of this lattice model in a format of conventional unit system. Mathematical descriptions of simple geometries are presented: using tangential hyperbolic functions to construct cylinder, rectangle and diamond. In the end, TEz or TMz polarized’ incident pulse illuminates metallic cylinder, rectangle or diamond. Differences of scattering are discussed and echo widths with respect to bistatic angles are calculated. The main purpose is to simulate scattering of different polarized pulses by different shapes. Firstly, one-dimensional wave propagation in dielectric medium or conductive medium is performed to validate the lattice model. Then two-dimensional simulations of scattering are performed to investigate the effect of polarization and geometry. Relations between creeping wave and polarizations are discussed. Comparisons of metallic diamond with other shaped metals are also mentioned. | en |
dc.description.provenance | Made available in DSpace on 2021-06-16T13:44:48Z (GMT). No. of bitstreams: 1 ntu-102-R00543021-1.pdf: 8082692 bytes, checksum: 447ef8db7a9295b1d144e9956ae04164 (MD5) Previous issue date: 2013 | en |
dc.description.tableofcontents | 口試委員審定書
致謝...........................Ⅰ Abstract......................Ⅱ 中文摘要........................Ⅲ 第1章 緒論 1-1 前言.............................1 1-2 文獻回顧..........................2 1-3 論文架構............................3 第2章 波茲曼方程式 2-1 稀薄氣體...........................4 2-2 分子動理學..........................5 2-3 波茲曼方程式.........................7 第3章 數值方法 3-1 晶格波茲曼法........................9 3-2 三維電磁晶格波茲曼方法...............11 3-3 馬克斯威方程式......................16 3-4 晶格波茲曼與電磁學...................21 第4章 電磁散射 4-1 電磁散射原理........................24 4-2 初始設定和邊界條件...................27 4-3 計算流程...........................31 第5章 數值模擬 5-1 一維介電質測試......................32 5-2 一維導電度測試......................33 5-3 二維金屬散射........................34 第6章 結論與未來展望 6-1 結論..............................56 6-2 未來展望...........................56 參考文獻...............................58 附錄一 近場遠場轉換(Near-to-far-field transformation).............60 | |
dc.language.iso | zh-TW | |
dc.title | 應用晶格波茲曼方法模擬電磁波傳遞和散射 | zh_TW |
dc.title | Simulation of electromagnetic wave propagation and scattering using lattice Boltzmann method | en |
dc.type | Thesis | |
dc.date.schoolyear | 101-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 陳朝光(Chao-Kuang Chen),楊玉姿(Yue-Tzu Yang),黃家健(Chia-Chien Huang) | |
dc.subject.keyword | 晶格波茲曼方法,電磁學,散射,極化方向,幾何形狀, | zh_TW |
dc.subject.keyword | lattice Boltzmann method,electromagnetics,scattering,polarization,geometry, | en |
dc.relation.page | 63 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2013-07-09 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 應用力學研究所 | zh_TW |
顯示於系所單位: | 應用力學研究所 |
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