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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/123456789/79924
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dc.contributor.advisor吳宗霖(Tzong-Lin Wu)
dc.contributor.authorRuei-Jhe Liuen
dc.contributor.author劉睿哲zh_TW
dc.date.accessioned2022-11-23T09:16:56Z-
dc.date.available2021-08-10
dc.date.available2022-11-23T09:16:56Z-
dc.date.copyright2021-08-10
dc.date.issued2021
dc.date.submitted2021-08-03
dc.identifier.citation[1] M.S. Venkatesh and G.S.V. Raghavan, “An overview of dielectric properties measuring techniques,” Canadian Biosystems Engineering Journal, 2005. [2] D. Garcia, and J. A. Eiras, “Dielectric Characterization of Materials at Microwave Frequency Range,” Ibero-American Journal of Materials, Material Research, Vol.6, Feb, 2003. [3] Y. Druelle, “New method for measuring dielectric properties of liquids with a micro-slotline,” IEEE Electronic Letters, 1974. [4] J. D. Jackson, Classical Electrodynamics 3rd ed., Chapter 7. Wiley, August, 1998. [5] A. H. Sihvola, and K. I. Nikoskinen, “Effective permittivity of mixtures: numerical validation by the FDTD method,” IEEE Transactions on Geoscience and Remote Sensing, Volume 38, Number 3, May, 2000. [6] A. R. von Hipple, Dielectrics and Waves. New York: Wiley, 1954. [7] V. Lucarini, J.J. Saarinen, K.E. Peiponen, and E.M. Vartiainen, Kramers–Kronig Relations in Optical Materials Research, Chapter 4. Berlin, Germany, 2004. [8] H. M. Nussenzveig, Causality and Dispersion Relations, Academic, New York, 1972. [9] A. R. Djordjevic and T. K. Sarkar, “Wideband frequency-domain characterization of FR-4 and time-domain causality,” IEEE Transactions on Electromagnetic Compatibility., Volume 43, Number 4, Nov. 2001 pp.662-667. [10] T. R. Arabi, A. T. Murphy, T. K. Sarkar, and R. F. Harrington, “On the modeling of conductor and substrate losses in multi-conductor, multi-dielectric transmission line systems”, IEEE Transactions on Microwave Theory and Techniques, Part I, volume 45, pp.569-579, May, 1997. [11] D. C. Elton, “Understanding the dielectric properties of water,” Ph.D. thesis, Department of Physics and Astronomy, Stony Brook University, November 2016. [12] W. J. Ellison, “Permittivity of pure water, at standard atmospheric pressure, over the frequency range 0–25 THz and the temperature range 0–100 °C,” Journal of Physical and Chemical Reference Data 36, 1 (2007). [13] A. Mgaidi, “Microwave dielectric properties of binary solvent water-alcohol, alcohol-alcohol mixtures at temperatures between -35°C and +35°C and dielectric relaxation studies” Mediterranean Journal of Chemistry, 2012, 1(4), pp.200-209. [14] J. R. Birchak, L. G. Gardner, J. W. Hipp, and J. M. Victor, “High dielectric constant microwave probes for sensing soil moisture,” Proceedings of the IEEE, volume 62, pp. 93–98, Jan. 1974. [15] C. Fang, F. Xing, D. Song, “Improved complex model of electromagnetic scattering for two dimensional fractal sea surface,” International Journal of Modern Physics B, Volume 24, Issue 22, pp. 4217-4224 (2010). [16] Y. Kato and M. Horibe, “Improvement of transmission/reflection method for permittivity measurement using long fixtures with time-domain analysis approach,” IEEE Transactions on Instrumentation and Measurement, Volume 66, Number 6, June. 2017. [17] D. F. Williams, “Travelling waves and power waves,” IEEE Microwave Magazine, November/December, 2013. [18] R. B. Marks and D. F. Williams, “A general waveguide circuit theory,”Journal of Research of the National Institute of Standards and Technology, Volume 97, No. 5, pp. 533-562, Sept. 1992. [19] P. Gregory, R. N. Clarke, T. E. Hodgetts, and G.T. Symm, “RF and microwave dielectric measurements upon layered materials using reflectrometric coaxial sensor,” National Physics Laboratory report, DES 125, 1993. [20] R. N. Bracewell, The Fourier Transform and Its Applications 3rd ed. McGraw-Hill, Singapore, 2000. [21] V. Komarov, S. Wang, J. Tang, “Permittivity and measurements,” Washington State University, (The article is excerpted in “Encyclopedia of RF and microwave engineering,” 2005 John Wiley Sons, Inc. ISBN 0-471-27053-9). [22] G. F. Engen, C. A. Hoer, “Thru-Reflect-Line: An improved technique for calibrating the dual six-port automatic network analyzer,” IEEE Transactions on Microwave Theory and Techniques Vol, MTT-27, No. 12, December 1979. [23] K. Chang, Microwave Ring Circuits and Antennas. New York: Wiley, 1996, pp. 125-131. [24] E. J. Denlinger, “A frequency-dependent solution for microstrip transmission lines,” IEEE Transactions on Microwave Theory and Techniques Vol, MTT-19, No.1, January, 1971. [25] L. H. Hsieh, K Chang, “Equivalent lumped elements G, L, C, and unloaded Q’s of closed and open-loop ring resonators”, IEEE Transactions on Microwave Theory and Techniques, Volume MTT-50, number 2, February 2002 pp. 454-460. [26] J. P. Starski, J. Liu, “Characterization of liquid crystal polymer for high frequency system-in-a-package applications,” IEEE Transactions on Advanced Packaging, Nov, 2002 pp.503-508. [27] D. F. Williams and R. B. Marks, “Accurate Transmission Line Characterization”, IEEE Microwave and Guided Wave Letters, Volume 3, No.8, August, 1993. [28] P. A. Rizzi, Microwave engineering: passive circuits. Prentice Hall, 1988. [29] R. Schmidt, “Multiple emitter location and signal parameter estimation,” IEEE Transactions on Antennas and Propagation. Volume 34, pp.276-280, March 1986. [30] H. Yamada, M. Ohmiya, Y. Ogawa, and K. Itoh, “Super-resolution techniques for time-domain measurements with a network analyzer,” IEEE Transactions on Antennas and Propagation, Volume 39, no. 2, pp. 177–183, Feb. 1991. [31]T. Kohonen, “Self-organized formation of topologically correct feature maps”, department of technical physics, Helsinki University of Technology, 1982. [32] Z. Liu, F. Han, Q. H. Ling, “A novel particle swarm optimization with mutation breeding algorithm”, Zhenjiang University, PRC. (This article is accepted and excerpted in “Connection Science,” Dec. 2019, ISSN: 0954-0091). [33] C. E. Rasmussen and C. K. I. Williams, Gaussian Processes for Machine Learning. (Adaptive Computation and Machine Learning) Chapter 1, MIT Press, 2005. [34] C. B. Do and H. Lee, Gaussian Process, November 22, 2008 (The handout is used for lectures in machine learning program opened in Stanford University. Source HTML: cs229.stanford.edu/section). [35] T. Nguyen and J. S. Aine, “Gaussian process surrogate model for variability analysis of RF circuits”, 2020 IEEE Electrical Design of Advanced Packaging and Systems, virtual conference, December, 2020. [36] B. S. Lai and T. L. Wu, “Dielectric loss estimation from dielectric constant using Kramers-kronig relation”, Master Thesis, Department of Electrical Engineering and Computer Science, National Taiwan University, 2018. Publications [1] R. J. Liu, C. C. Chou and T. L. Wu, “An Improved Method of Finding Complex Permittivity of Lossy Liquids”, 2020 IEEE Electrical Design of Advanced Packaging and Systems, virtual conference December, 2020.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/79924-
dc.description.abstract本論文主旨及貢獻在於提供新的方法及分析來求得水溶液之寬頻介電係數。綜觀目前學術上的研究,很多方法需要用到昂貴的儀器及周邊器材(例如特別訂做的波導管或阻抗棒),卻只適合預估低介電係數的材料,其原因在於幾乎所有的經驗公式是無法套用在求高介電係數身上。因此,我們選擇回歸基礎電磁分析及設計演算法以克服高介電係數所帶來的挑戰。本文是以水(或水溶液)為例,由低頻率至高頻率,我們所使用的方法依序為電容法(300 KHz~30 MHz)、阻抗轉換法(150 MHz~1.5 GHz)、TRL校正法(300 MHz~1.7 GHz)、環狀微帶線共振法(500 MHz~5 GHz和3 GHz~9 GHz)及天線法(8.5 GHz~11.5 GHz)。各種方法的優缺點及建議的量測頻段會在文中列出。 時頻分析是求介電係數的關鍵技巧,本文提出兩種方法。第一種是對長度有限的S參數做反傅立葉轉換到時域訊號。在阻抗轉換法的章節,我們透過在時域上擷取想要的訊號達成介電係數在頻域上平滑化的效果。另外一種應用在天線法上的時頻分析被稱為「多重訊號辨識演算法」,其目的除了快速預估天線接收各個訊號所行經的時間外,並且確保我們在時域上所截出的訊號不會受到地面反射的干擾,使得成功求出介電係數的機會上升。 在本論文中,我們亦提出兩種以機器學習為背景的最佳化演算法。在天線法的章節裡,透過「自組織特徵映射演算法」快速整理及歸納,可有效率應用在解高維度聯立方程組;另外一方面,考量到每個實驗或多或少受到環境干擾使得量測到的介電係數含有雜訊,我們透過「高斯過程」畫出回歸線來整合所有的數據。它不僅能幫我們省去很多時間上的成本,更能以機率分佈估計下次實驗某頻率點將會得到的介電係數。 在論文中的所有電路可在PCB基板上透過蝕刻技術完成,本文所提出的演算法或訊號分析也有透過數值運算或HFSS模擬驗證以確保它們可以使用在其他水溶液上。zh_TW
dc.description.provenanceMade available in DSpace on 2022-11-23T09:16:56Z (GMT). No. of bitstreams: 1
U0001-2807202107120300.pdf: 4783109 bytes, checksum: 0b1a0f17821c1b27e4472c3f1760d0fe (MD5)
Previous issue date: 2021
en
dc.description.tableofcontents口試審定書 中文摘要 i Thesis Abstract ii Contents iv List of Figures vi List of Tables ix Chapter 1 Introduction 1 1.1 Research Motivations and Contributions 1 1.2 Thesis Organization 4 Chapter 2 Basic Theory of Complex Permittivity for Solid and Liquid Materials 6 2.1 Generalized Complex Permittivity in terms of Electrodynamics 6 2.2 Electrical Lumped Elements Modeling 10 2.3 A Brief Introduction to dielectric Constant of Water and its Mixture 14 Chapter 3 Techniques for Finding Complex Permittivity of water 18 3.1 Capacitance Method (300 kHz ~ 30 MHz) 18 3.2 Impedance Transform and Time Gating Method (150 MHz~1.5 GHz) 21 3.3 Thru-Reflect-Line Method (300 MHz~1.7 GHz) 34 3.4 Microstrip Line Ring Resonators (500 MHz~5 GHz) and (3 GHz~ 9 GHz) 42 3.5 Free Space Measurements (8.5 GHz ~ 11.5 GHz) 53 Chapter 4 Regression Line By means of Gaussian Process 72 4.1 Mathematical Expressions for Gaussian Process Regression 73 4.2 Regression Results for Broadband Complex Permittivity of Water and the Comparisons with Reference Data 79 Chapter 5 Conclusion 85 REFERENCES 89
dc.language.isoen
dc.subject介電係數zh_TW
dc.subjectcomplex permittivityen
dc.title水溶液之寬頻介電係數量測及分析zh_TW
dc.titleTechniques for Extracting Wideband Complex Permittivity of Aqueous Solutionen
dc.date.schoolyear109-2
dc.description.degree碩士
dc.contributor.oralexamcommittee周求致(Hsin-Tsai Liu),陳士元(Chih-Yang Tseng),黃揚智,鄭齊軒
dc.subject.keyword介電係數,zh_TW
dc.subject.keywordcomplex permittivity,en
dc.relation.page91
dc.identifier.doi10.6342/NTU202101830
dc.rights.note同意授權(全球公開)
dc.date.accepted2021-08-04
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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