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研究生: 鄭余廷
Cheng, Yu-Ting
論文名稱: 表面粗糙度對兆赫波段導體損耗之影響
Surface Roughness Effect on Terahertz Conductor Loss
指導教授: 張存續
Chang, Tsun-Hsu
口試委員: 嚴大任
Yen, Ta-Jen
潘犀靈
Pan, Ci-Ling
學位類別: 碩士
Master
系所名稱: 理學院 - 物理學系
Department of Physics
論文出版年: 2017
畢業學年度: 105
語文別: 英文
論文頁數: 58
中文關鍵詞: 表面粗糙度兆赫波波導管導體損耗
外文關鍵詞: Surface roughness, Terahertz, Waveguide, Conductor loss
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  • 表面粗糙度一直在電路中扮演中有重要的影響,其中對於導體損耗已有許多相關的模型被提出已用於不同的情況。在毫米波應用中,有波導管實驗 (180~230) 表示表面粗糙度可能會有明顯的效應。為了確認這個現象,現有的模型將會和毫米波波導管測量結果比較。
    相關的文獻回顧中有2個模型被選出,分別是Huray的雪球堆積模型 (Snowball model) 和二階微擾法 (Small perturbation method to 2nd order) ,對於每一個模型都有對應的MABLAB程式計算並分析實驗結果。在最後實驗結果會另外和傳統的粗糙度模型Hammerstad-Bekkadel formula 做比較並用來輔助理解先前兩模型的差異。
    在實驗中會設計一群可拆式長方型波導管 (Rectangular waveguides) 並用來量測表面粗糙度所造成的導體損耗,模型所需表面粗糙度相關的參數則是用alpha step和電子顯微鏡做測量。
    最後將波導管實驗的導體損耗和模型算出的結果做比較並且提出概略但直觀的解釋以總結實驗結果。


    Surface roughness is always plays an important role in circuit industries, many relevant models has been proposed and tested in a various conditions. In millimeter wave applications, it turns out that that the conductor loss due to the roughness may be significant in a waveguide environment. To verify this, the existing surface roughness models will be examined to find a suitable model for G band frequency to account for the extra conductor loss.
    Before the experimental confirmation, a literature review on various models was done and there’re 2 models that finally were chosen to be tested, the snowball model and the small perturbation method to 2nd order (SPM2). For each theory a corresponding MATLAB program was written to analyze the experimental results. At last, the well-known surface roughness model, the Hammerstad-Bekkadel (H-B) formula will be served as an aid to generalize the observations from the measurement results.
    For the experiments, a group of simple rectangular waveguides were designed to measure the additional conductor loss from the roughness. The surface parameters needed in both theories were obtained from alpha step and scanning electron microscope (SEM) measurements.
    At last the evaluated power loss will be compared with the one obtained from S-parameter measurement and a straightforward point of view will be given to explain every observed phenomena in the results.

    致謝 i 摘要 ii Abstract iii Content iv List of Figures vi List of Tables viii Chapter1 Introduction 1 1.1 Motivation 1 1.2 Literature Reviews 1 Chapter2 Theoretical Models 4 2.1 Huray’s Snowball Model 4 2.2 Small Perturbation Method to 2nd Order (SPM2) 6 Chapter3 Experimental Method 11 3.1 Experiment Flow 11 3.2 Waveguide Design and Simulations 13 3.3 Sandblasting Treatment 19 3.4 Data Processing of Surface Profiles 20 3.5 Power Loss Ratio Calculation from S-parameters 22 3.6 Leakage Estimations 24 Chapter4 Experiment Results 28 4.1 Results from S-parameter and Profile Measurements 28 4.2 Huray’s Model Calculations 32 4.3 SPM2 Calculations 38 4.4 Comparison between SPM2 and HB formula 43 4.5 Conclusions 50 致謝 i 摘要 ii Abstract iii Content iv List of Figures vi List of Tables viii Chapter1 Introduction 1 1.1 Motivation 1 1.2 Literature Reviews 1 Chapter2 Theoretical Models 4 2.1 Huray’s Snowball Model 4 2.2 Small Perturbation Method to 2nd Order (SPM2) 6 Chapter3 Experimental Method 11 3.1 Experiment Flow 11 3.2 Waveguide Design and Simulations 13 3.3 Sandblasting Treatment 19 3.4 Data Processing of Surface Profiles 20 3.5 Power Loss Ratio Calculation from S-parameters 22 3.6 Leakage Estimations 24 Chapter4 Experiment Results 28 4.1 Results from S-parameter and Profile Measurements 28 4.2 Huray’s Model Calculations 32 4.3 SPM2 Calculations 38 4.4 Comparison between SPM2 and HB formula 43 4.5 Conclusions 50 References 51 Appendix A – Exact Form of Scattering Parameters 55 Appendix B – 1D & 2D Power Spectrum Densities 56

    [1] T. H. Chang, B. Y. Shew, C. Y. Wu, N. C. Chen, "X-ray microfabrication and measurement of a terahertz mode converter", Rev. Sci. Instrum., vol. 81, pp. 054701, 2010.
    [2] G. E. H. Reuter and E. H. Sondheimer, "The Theory of the Anomalous Skin Effect in Metals", Nature 161, 394, 1948
    [3] S. P. Morgan, Jr., “Effect of surface roughness on eddy current losses at microwave frequencies,” J. Appl. Phys., vol. 20, no. 4, pp. 352–362, Apr. 1949.
    [4] E. Hammerstad and F. Bekkadal, “Microstrip handbook,” University of Trondheim, Trondheim, Norway, ELAB Rep. STF44 A74169, 1975, pp. 4–8.
    [5] S. Groiss, I. Bardi, O. Biro, K. Preis and K. R. Richter, "Parameters of lossy cavity resonators calculated by the finite element method," in IEEE Transactions on Magnetics, vol. 32, no. 3, pp. 894-897, May 1996.
    [6] P. G. Huray, O. Oluwafemi, J. Loyer, E. Bogatin, X. Ye “Impact of Copper Surface Texture on Loss: A Model that Works”, DesignCon 2010.
    [7] S. Hall et al., "Multigigahertz Causal Transmission Line Modeling Methodology Using a 3-D Hemispherical Surface Roughness Approach," in IEEE Transactions on Microwave Theory and Techniques, vol. 55, no. 12, pp. 2614-2624, Dec. 2007.
    [8] A. F. Horn, J. W. Reynolds and J. C. Rautio, "Conductor profile effects on the propagation constant of microstrip transmission lines," 2010 IEEE MTT-S International Microwave Symposium, Anaheim, CA, 2010, pp. 1-1.
    [9] T. Liang, S. Hall, H. Heck and G. Brist, "A Practical Method for Modeling PCB Transmission Lines with Conductor Surface Roughness and Wideband Dielectric Properties," 2006 IEEE MTT-S International Microwave Symposium Digest, San Francisco, CA, 2006, pp. 1780-1783.
    [10] G. Brist, S. Hall, S. Clouser, T. Liang, “Non-classical conductor losses due to copper foil roughness and treatment,” 2005 IPC Electronic Circuits World Convention, February 2005.
    [11] P. G. Huray et al., "Fundamentals of a 3-D “snowball” model for surface roughness power losses," 2007 IEEE Workshop on Signal Propagation on Interconnects, Genova, 2007, pp. 121-124.
    [12] G. Gold and K. Helmreich, "A physical model for skin effect in rough surfaces," 2012 42nd European Microwave Conference, Amsterdam, 2012, pp. 1011-1014.
    [13] G. Gold and K. Helmreich, "Surface impedance concept for modeling conductor roughness," 2015 IEEE MTT-S International Microwave Symposium, Phoenix, AZ, 2015, pp. 1-4.
    [14] A. Matsushima, K. Nakata, "Power loss and local surface impedance associated with conducting rough interfaces", Elect. Commun. Jpn., vol. 89, no. 1, pp. 1-10, Jan. 2006.
    [15] Leung Tsang, Xiaoxiong Gu and H. Braunisch, "Effects of random rough surface on absorption by conductors at microwave frequencies," in IEEE Microwave and Wireless Components Letters, vol. 16, no. 4, pp. 221-223, April 2006.
    [16] X. Gu, L. Tsang, H. Braunisch, and P. Xu, “Modeling absorption of rough interface between dielectric and conductive medium,” Microw. Opt. Technol. Lett., vol. 49, pp. 7–13, Jan. 2007.
    [17] X. Gu, L. Tsang and H. Braunisch, "Modeling Effects of Random Rough Interface on Power Absorption Between Dielectric and Conductive Medium in 3-D Problem," in IEEE Transactions on Microwave Theory and Techniques, vol. 55, no. 3, pp. 511-517, March 2007.
    [18] X. Gu, L. Tsang and H. Braunisch, "Estimation of Roughness-Induced Power Absorption From Measured Surface Profile Data," in IEEE Microwave and Wireless Components Letters, vol. 17, no. 7, pp. 486-488, July 2007.
    [19] L. Rayleigh, The theory of sound, Macmillan, New York, 1929.
    [20] S.O. Rice, Reflection of electromagnetic waves from slightly rough surfaces, Commun Pure Appl Math 4 (1951), 351–378.
    [21] C. L. Holloway and E. F. Kuester, "Impedance-type boundary conditions for a periodic interface between a dielectric and a highly conducting medium," in IEEE Transactions on Antennas and Propagation, vol. 48, no. 10, pp. 1660-1672, Oct 2000.
    [22] M. P. Kirley and J. H. Booske, "Terahertz Conductivity of Copper Surfaces," in IEEE Transactions on Terahertz Science and Technology, vol. 5, no. 6, pp. 1012-1020, Nov. 2015.
    [23] J. D. Jackson, Classical Electrodynamics, 3rd ed. New York: Wiley, 1999, pp. 473-477.
    [24] P. G. Huray, The Foundations of Signal Integrity, New Jersey: Wiley, 2010, ch.6, pp. 216-275.
    [25] L. Tsang, J. A. Kong, and K.-H. Ding, Scattering of Electromagnetic Waves: Theory and Applications. New York: Wiley, 2000, ch.2, pp. 60-66.
    [26] L. Tsang and J. A. Kong, Scattering of Electromagnetic Waves: Advanced Topics. New York: Wiley, 2001, vol. 3, ch.1, pp. 18–60.
    [27] R. Ding, L. Tsang, H. Braunisch and W. Chang, "Wave Propagation in Parallel Plate Metallic Waveguide With Finite Conductivity and Three Dimensional Roughness," in IEEE Transactions on Antennas and Propagation, vol. 60, no. 12, pp. 5867-5880, Dec. 2012.
    [28] L. Tsang, H. Braunisch, R. Ding and X. Gu, "Random Rough Surface Effects on Wave Propagation in Interconnects," in IEEE Transactions on Advanced Packaging, vol. 33, no. 4, pp. 839-856, Nov. 2010.
    [29] N. Baddour and U. Chouinard, "Theory and operational rules for the discrete Hankel transform," J. Opt. Soc. Am. A 32, 611-622, 2015.

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