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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
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/70565
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor曾雪峰
dc.contributor.authorShi-Xuan Yangen
dc.contributor.author楊士玄zh_TW
dc.date.accessioned2021-06-17T04:31:13Z-
dc.date.available2019-08-13
dc.date.copyright2018-08-13
dc.date.issued2018
dc.date.submitted2018-08-13
dc.identifier.citation[1] A. C. Cangellaris and D. B. Wright, 'Analysis of the numerical error caused by the stair-stepped approximation of a conducting boundary in FDTD simulations of electromagnetic phenomena,' IEEE transactions on antennas and propagation, vol. 39, no. 10, pp. 1518-1525, 1991.
[2] S. D. Gedney, 'An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices,' IEEE transactions on Antennas and Propagation, vol. 44, no. 12, pp. 1630-1639, 1996.
[3] S. D. Gedney, 'An anisotropic PML absorbing media for the FDTD simulation of fields in lossy and dispersive media,' Electromagnetics, vol. 16, no. 4, pp. 399-415, 1996.
[4] J.-P. Bérenger, 'Perfectly matched layer (PML) for computational electromagnetics,' Synthesis Lectures on Computational Electromagnetics, vol. 2, no. 1, pp. 1-117, 2007.
[5] W. C. Chew and Q. H. Liu, 'PERFECTLY MATCHED LAYERS FOR ELASTODYNAMICS: A NEW ABSORBING BOUNDARY CONDITION,' Journal of computational acoustics, vol. 4, no. 04, pp. 341-359, 1996.
[6] Q. H. Liu, 'The pseudospectral time-domain (PSTD) method: A new algorithm for solutions of Maxwell's equations,' in Antennas and Propagation Society International Symposium, 1997. IEEE., 1997 Digest, 1997, vol. 1, pp. 122-125: IEEE.
[7] Q. H. Liu, 'The PSTD algorithm: A time‐domain method requiring only two cells per wavelength,' Microwave and optical technology letters, vol. 15, no. 3, pp. 158-165, 1997.
[8] J. A. Roden and S. D. Gedney, 'Efficient implementation of the uniaxial‐based PML media in three‐dimensional nonorthogonal coordinates with the use of the FDTD technique,' Microwave and Optical Technology Letters, vol. 14, no. 2, pp. 71-75, 1997.
[9] C. Wolfe, U. Navsariwala, and S. D. Gedney, 'A parallel finite-element tearing and interconnecting algorithm for solution of the vector wave equation with PML absorbing medium,' IEEE Transactions on Antennas and Propagation, vol. 48, no. 2, pp. 278-284, 2000.
[10] H. Yang, X.-Y. Cao, J. Gao, W. Li, Z. Yuan, and K. Shang, 'Low RCS metamaterial absorber and extending bandwidth based on electromagnetic resonances,' Progress In Electromagnetics Research, vol. 33, pp. 31-44, 2013.
[11] L. Nicolaescu and T. Oroian, 'Radar cross section,' in Telecommunications in Modern Satellite, Cable and Broadcasting Service, 2001. TELSIKS 2001. 5th International Conference on, 2001, vol. 1, pp. 65-68: IEEE.
[12] L. Sevgi, Z. Rafiq, and I. Majid, 'Radar cross section (RCS) measurements [testing ourselves],' IEEE Antennas and Propagation Magazine, vol. 55, no. 6, pp. 277-291, 2013.
[13] C.-H. Tsai, S.-H. Chang, and S. H. Tseng, 'Applying the optical theorem in a finite-difference time-domain simulation of light scattering,' IEEE transactions on antennas and propagation, vol. 58, no. 9, pp. 3091-3094, 2010.
[14] A. Taflove and S. C. Hagness, Computational electrodynamics: the finite-difference time-domain method. Artech house, 2005.
[15] D. C. Jenn, 'Radar and laser cross section engineering(Book),' Washington, DC: American Institute of Aeronautics and Astronautics, Inc, 1995., 1995.
[16] G. T. Ruck, Radar cross section handbook. Plenum Publishing Corporation, 1970.
[17] S. H. Tseng and C. Yang, '2-D PSTD Simulation of optical phase conjugation for turbidity suppression,' Optics express, vol. 15, no. 24, pp. 16005-16016, 2007.
[18] S. H. Tseng, J. H. Greene, A. Taflove, D. Maitland, V. Backman, and J. T. Walsh, 'Exact solution of Maxwell’s equations for optical interactions with a macroscopic random medium,' Optics letters, vol. 29, no. 12, pp. 1393-1395, 2004.
[19] S. H. Tseng, A. Taflove, D. Maitland, and V. Backman, 'Pseudospectral time domain simulations of multiple light scattering in three‐dimensional macroscopic random media,' Radio science, vol. 41, no. 4, 2006.
[20] S. H. Tseng, Y. L. Kim, A. Taflove, D. Maitland, V. Backman, and J. T. Walsh, 'Simulation of enhanced backscattering of light by numerically solving Maxwell’s equations without heuristic approximations,' Optics Express, vol. 13, no. 10, pp. 3666-3672, 2005.
[21] R. A. Hummel, B. Kimia, and S. W. Zucker, 'Deblurring gaussian blur,' Computer Vision, Graphics, and Image Processing, vol. 38, no. 1, pp. 66-80, 1987.
[22] Y.-N. Jeng, P. Huang, and Y.-C. Cheng, 'Decomposition of one-dimensional waveform using iterative Gaussian diffusive filtering methods,' in Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 2008, vol. 464, no. 2095, pp. 1673-1695: The Royal Society.
[23] I. T. Young and L. J. Van Vliet, 'Recursive implementation of the Gaussian filter,' Signal processing, vol. 44, no. 2, pp. 139-151, 1995.
[24] J.-M. Geusebroek, A. W. Smeulders, and J. Van De Weijer, 'Fast anisotropic gauss filtering,' IEEE Transactions on Image Processing, vol. 12, no. 8, pp. 938-943, 2003.
[25] J. D. Valentine and A. Rana, 'Centroid and full-width at half maximum uncertainties of histogrammed data with an underlying Gaussian distribution-the moments method,' IEEE Transactions on Nuclear Science, vol. 43, no. 5, pp. 2501-2508, 1996.
[26] S. Lim, C. Caloz, and T. Itoh, 'Metamaterial-based electronically controlled transmission-line structure as a novel leaky-wave antenna with tunable radiation angle and beamwidth,' IEEE Transactions on Microwave Theory and Techniques, vol. 52, no. 12, pp. 2678-2690, 2004.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/70565-
dc.description.abstract為了模擬光經過隨機分布的介質中散射的擴散情形,本研究建造了隨機分布的介質模型並且利用時域擬譜法(Pseudospectral time-domain technique, PSTD)來模擬分析他們的光學特性,其中,擬譜時域分析法是源自於馬克斯威方程式(Maxwell’s equation)的數值解,利用此方法可以應用在模擬大範圍空間中的電磁波問題。本論文中,分析各種因素,包含入射光的波長、介質數量與分佈,將模擬結果量化分析,模擬結果中可以明顯地看出光經過隨機介質有擴散的情形,其中分別討論在固定頻率下,不同散射介質數目對光擴散程度的影響,以及在固定散射介質數目下,不同光源頻率對光擴散程度的影響。本研究中利用二維時域擬譜法模擬光在散射介質中的傳播,在本論文中採用的散射介質以圓柱狀的散射介質並且以隨機分布的形式作排列,模擬光在隨機散射介質中的傳播,並且計算散射後的Radar Cross-Section (RCS)再加以分析,研究光經過隨機分布的散射介質後光束擴散的情形,而實驗結果也表明光會受到哪些因素而有光束寬度上的影響。zh_TW
dc.description.abstractHere we model a light propagating through a scattering medium. We employ the pseudospectral time-domain (PSTD) simulation technique to model light propagation through the scattering media. To analyze the scattering characteristics of light, various factors are analyzed, including the wavelength of incident light, the number of the scattering medium, position of the scattering medium and size distribution of the scattering medium. Simulation results show that the direction of propagation is affected by the scattering medium. Specifically, different angular span of out-coming light are affected by randomly-positioned scattering medium.en
dc.description.provenanceMade available in DSpace on 2021-06-17T04:31:13Z (GMT). No. of bitstreams: 1
ntu-107-R05941097-1.pdf: 2298645 bytes, checksum: d5a64be947edef4ae8286a260c4b506c (MD5)
Previous issue date: 2018
en
dc.description.tableofcontents誌謝....................................................................................................................................i
中文摘要...........................................................................................................................ii
ABSTRACT.....................................................................................................................iii
目錄..................................................................................................................................iv
圖附錄..............................................................................................................................vi
第一章 時域擬譜法(Pseudospectral time-domain technique, PSTD)..............................1
1.1 時域擬譜法(Pseudospectral time-domain technique, PSTD) ............................1
1.2 奈奎斯特頻率(Nyquist frequency) ....................................................................6
1.3 收邊界條件:單軸完美匹配層 (Uniaxial Perfectly Matched Layer Absorption Boundary Condition, UPML ABC) ................................................7
第二章 Radar Cross-Section (RCS)理論.......................................................................11
2.1 格林定理(Green’s Theorem)的應用...............................................................11
2.2 近場與遠場變換(Near-to-Far-Field Transformation, NTFF) .......................13
2.3 Radar Cross-Section (RCS)的推導.................................................................16
第三章 介質隨機排列的構造與參數...........................................................................18
3.1 模擬空間與隨機排列介質.............................................................................18
3.2 光源的設置與時間步數.................................................................................20
第四章 數值模擬結果與分析........................................................................................22
4.1 光在隨機介質中的擴散性質..........................................................................22
4.2 數據量化..........................................................................................................25
4.2.1 平均數據結果.........................................................................................25
4.2.2 以高斯濾波(Gaussian Filtering)的方式處理離散數據.........................27
4.2.3以半峰全寬(Full width at half maximum, FWHM)定義波束寬度.......28
4.3 散射介質數目對擴散性質的影響.................................................................29
4.4 入射光源對擴散性質的影響.........................................................................33
第五章 總結與未來工作................................................................................................40
5.1 總結..................................................................................................................40
5.2 未來工作..........................................................................................................41
參考文獻.........................................................................................................................42
dc.language.isozh-TW
dc.subject時域擬譜分析法zh_TW
dc.subject光束寬度擴散zh_TW
dc.subject隨機散射介質zh_TW
dc.subjectBeamwidth Expansionen
dc.subjectrandomly-positioned scattering mediumen
dc.subjectpseudospectral time-domain (PSTD)en
dc.title以時域擬光譜法模擬光在隨機介質中擴散的性質zh_TW
dc.titlePSTD Simulation of Light Beam Expansion with the Presence of a Scattering Mediumen
dc.typeThesis
dc.date.schoolyear106-2
dc.description.degree碩士
dc.contributor.oralexamcommittee張世慧,黃定洧
dc.subject.keyword時域擬譜分析法,隨機散射介質,光束寬度擴散,zh_TW
dc.subject.keywordpseudospectral time-domain (PSTD),randomly-positioned scattering medium,Beamwidth Expansion,en
dc.relation.page43
dc.identifier.doi10.6342/NTU201802726
dc.rights.note有償授權
dc.date.accepted2018-08-13
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
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