| 研究生: |
黃建勛 Huang, Chien-Hsun |
|---|---|
| 論文名稱: |
以有限差分時域法配合實驗設計法探討影響粗糙表面寬頻輻射性質之因子 Using finite difference time domain method with design of experiments to explore factors which impact wide-band radiative properties of a rough surface |
| 指導教授: |
陳玉彬
Chen, Yu-Bin |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 機械工程學系 Department of Mechanical Engineering |
| 論文出版年: | 2015 |
| 畢業學年度: | 103 |
| 語文別: | 中文 |
| 論文頁數: | 121 |
| 中文關鍵詞: | 有限差分時域法 、隨機粗糙表面 、實驗計畫法 、平行運算 |
| 外文關鍵詞: | finite different time domain method, random rough surface, design of experiment, parallel computing |
| 相關次數: | 點閱:172 下載:3 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
本研究利用有限差分時域(finite difference time domain)法配合實驗計畫法(design of experiment)以數值實驗方式,分析因子對輻射性質變化並找出顯著的因子。首先為了減少有限差分時域法程式運算時間以便後續之討論,利用訊息傳遞介面(message passing interface)程式庫建立平行運算程式加速運算時間,結果顯示平行運算對比串行運算程式可減少四成以上之運算時間。數值實驗探討的波長分別為1 m、54.545 mm及632 nm,針對三個波長以2水準的實驗,分析因子效應並篩選顯著因子,所針對的輻射性質分別為1 m實驗的自行建立之評估背向散射增強(backscattering enhancement)的函數,54.545 mm與632 nm實驗的反射率,並於波長632 nm以中央合成設計(central composite design)找尋最低之反射率與其參數組合。在篩選實驗上皆針對各自反應變數所配適之模型以F檢定找出顯著之因子。中央合成設計在初始的參數設計上發生極值之參數水準並未在實驗範圍內,故以最陡下降法逼近,實驗後發現反射率仍為一單調遞減的趨勢。
This work uses finite different time domain method with design of experiments to explore factors which impact wide-band radiative property of rough surface by numerical experiments. First, in order to reduce computing time of finite different time domain method for the following discussion, use the message passing interface library to build a parallel computing program. In contrast to the serial computing program, the parallel computing program reduces over 40% computing time. Wavelengths of numerical experiments are 1 m, 54.545 mm and 632 nm. For this three wavelengths, explore factor treatments and screen significant factors. The radiative property of wavelength 1 m experiment is the function estimates backscattering enhancement which is builded by ourselves. However, we aim at reflectivity at wavelength 54.545 mm and 632 nm experiments, and then try to find the local minimum reflectivity and combinations of factor at wavelength 632 nm by central composite design. In factor screening experiments, use F test to screen significant factors in the regression model of response variables. In central composite design, the location of stationary point isn’t at range of experiment. So, use the method of steepest scape to approach the vicinity of optimum. After experiments, find the trend of reflectivity is still monotonically decreasing.
1. International Telecommunication Union, (2014, May 5), Available: http://www.itu.int/en/publications/ITU-/pages/publications.aspx?parent=R-REG-RR-2012&media=electronic
2. Y. J. Shen, Q. Z. Zhu, and Z. M. Zhang, "A Scatterometer for Measuring the Bidirectional Reflectance and Transmittance of Semiconductor Wafers with Rough Surfaces," Review of Scientific Instruments, vol. 74, pp. 4885-4892, 2003.
3. D. K. Hollingsworth, L. C. Witte, J. Hinke, and K. Hurlbert, "Reduction in Emittance of Thermal Radiator Coatings Caused by the Accumulation of a Martian Dust Simulant," Applied Thermal Engineering, vol. 26, pp. 2383-2392, 2006.
4. J. R. Gaier, M. C. Hicks, and R. M. Misconin, "Studies of Simulated Lunar Dust on the Properties of Thermal-Control Surfaces," Journal of Spacecraft and Rockets, vol. 50, pp. 848-852, 2013.
5. S. Fahr, C. Rockstuhl, and F. Lederer, "Engineering the Randomness for Enhanced Absorption in Solar Cells," Applied Physics Letters, vol. 92, 2008.
6. C. Rockstuhl, S. Fahr, K. Bittkau, T. Beckers, R. Carius, F. J. Haug, et al., "Comparison and Optimization of Randomly Textured Surfaces in Thin-Film Solar Cells," Optics Express, vol. 18, pp. A335-A342, 2010.
7. X. Sheng, S. G. Johnson, J. Michel, and L. C. Kimerling, "Optimization-Based Design of Surface Textures for Thin-Film Si Solar Cells," Optics Express, vol. 19, pp. A841-A850, 2011.
8. A. Le Morvan, M. Zribi, N. Baghdadi, and A. Chanzy, "Soil Moisture Profile Effect on Radar Signal Measurement," Sensors, vol. 8, pp. 256-270, 2008.
9. J. Li, L. X. Guo, and H. Zeng, "FDTD Investigation on Bistatic scattering from Two-Dimensional Rough Surface with UPML Absorbing Condition," Waves in Random and Complex Media, vol. 19, pp. 418-429, 2009.
10. J. Li, L. X. Guo, and H. Zeng, "FDTD Method Investigation on the Polari-Metric Scattering from 2-D Rough Surface," Progress in Electromagnetics Research-PIER, vol. 101, pp. 173-188, 2010.
11. L. Kuang and Y. Q. Jin, "Bistatic Scattering from a Three-Dimensional Object over a Randomly Rough Surface Using the FDTD Algorithm," IEEE Tractions on Antennas and Propagation, vol. 55, pp. 2302-2312, 2007.
12. G. Kubicke, C. Bourlier, and J. Saillard, "Scattering from Canonical Objects above a Sea-Like One-Dimensional Rough Surface from a Rigorous Fast Method," Waves in Random and Complex Media, vol. 20, pp. 156-178, 2010.
13. J. A. Li, L. X. Guo, Y. C. Jiao, and K. Li, "Investigation on Wide-Band Scattering of a 2-D Target above 1-D Randomly Rough Surface by FDTD Method," Optics Express, vol. 19, pp. 1091-1100, 2011.
14. W. Liu, Y. Y. Dai, H. Y. Yang, and X. B. Xu, "Scattering of Object Buried below Random Rough Surface-A Monte Carlo Pseudo spectral Time-Domain Approach," Electromagnetics, vol. 32, pp. 330-344, 2012.
15. W. Liu, Y. Dai, and X.-B. Xu, "Analysis of Scattering from Three-Dimensional Objects Buried Below a Random Rough Surface by Monte-Carlo MPSTD method," Progress In Electromagnetics Research B, Vol. 47, 383-404, 2013.
16. P.Abrahamsen, A Review of Gaussian Random Fields and Correlation Functions, 2 ed. Norway, 1997.
17. S. O. Rice, "Reflection of Electromagnetic Waves from Slightly Rough Surfaces," Communications on Pure and Applied Mathematics, vol. 4, pp. 351-378, 1951.
18. E. I. Thorsos, "The Validity of the Kirchhoff Approximation for Rough-Surface Scattering Using a Gaussian Roughness Spectrum," Journal of the Acoustical Society of America, vol. 83, pp. 78-92, 1988.
19. K. Fu and P. f. Hsu, "New Regime Map of the Geometric Optics Approximation for Scattering from Random Rough Surfaces," Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 109, pp. 180-188, 2008.
20. R. L. Wagner, J. M. Song, and W. C. Chew, "Monte Carlo Simulation of Electromagnetic Scattering from Two-Dimensional Random Rough surfaces," IEEE Transactions on Antennas and Propagation, vol. 45, pp. 235-245, 1997.
21. K. Fu and P.-f. Hsu, "Radiative Properties of Gold Surfaces with One-Dimensional Microscale Gaussian Random Roughness," International Journal of Thermophysics, vol. 28, pp. 598-615, 2007.
22. D. Isleifson, I. Jeffrey, L. Shafai, J. LoVetri, and D. G. Barber, "A Monte Carlo Method for Simulating Scattering From Sea Ice Using FVTD," IEEE Transactions on Geoscience and Remote Sensing, vol. 50, pp. 2658-2668, 2012.
23. A. A. Maradudin, T. Michel, A. R. Mcgurn, and E. R. Mendez, "Enhanced Backscattering of Light from a Random Grating," Annals of Physics, vol. 203, pp. 255-307, 1990.
24. E. I. Chaikina, A. G. Navarrete, E. R. Mendez, A. Martinez, and A. A. Maradudin, "Coherent Scattering by One-Dimensional Randomly Rough metallic surfaces," Applied Optics, vol. 37, pp. 1110-1121, 1998.
25. B. J. Lee, Z. M. Zhang, E. A. Early, D. P. DeWitt, and B. K. Tsai, "Modeling Radiative Properties of Silicon with Coatings and Comparison with Reflectance Measurements," Journal of Thermophysics and Heat Transfer, vol. 19, pp. 558-565, 2005.
26. M. El-Shenawee, "Polarimetric Scattering from Two-Layered Two-Dimensional Random Rough Surfaces with and without Buried Objects," IEEE Transactions on Geoscience and Remote Sensing, vol. 42, pp. 67-76, 2004.
27. J. Li, L. X. Guo, and H. Zeng, "FDTD Investigation on Bistatic Scattering from a Target above Two-Layered Rough Surfaces Using UPML Absorbing Condition," Progress in Electromagnetics Research-Pier, vol. 88, pp. 197-211, 2008.
28. M. A. Demir, J. T. Johnson, and T. J. Zajdel, "A Study of the Fourth-Order Small Perturbation Method for Scattering from Two-Layer Rough Surfaces," IEEE Transactions on Geoscience and Remote Sensing, vol. 50, pp. 3374-3382, 2012.
29. D. C. Montgomery, Design and Analysis of Experiments, 5th ed. New York: John Wiley, 2001.
30. 古閔中(2013),「建立等向及非等向之隨機粗糙表面並計算輻射性質」,國立成功大學機械工程學系所碩士論文。
31. J. J. Wu, "Simulation of rough surfaces with IFFT," Tribology International, vol. 33, pp. 47-58, Jan 2000.
32. Q. Z. Zhu, H. J. Lee, and Z. M. Zhang, "Validity of Hybrid Models for the Bidirectional Reflectance of Coated Rough Surfaces," Journal of Thermophysics and Heat Transfer, vol. 19, pp. 548-557, 2005.
33. J. Li, L. X. Guo, and H. Zeng, "FDTD Investigation on Electromagnetic Scattering from Two-Layered Rough Surfaces under UPML Absorbing Condition," Chinese Physics Letters, vol. 26, 2009.
34. X. J. Gu and Y. Y. Huang, "The Modeling and Simulation of a Rough-Surface," Wear, vol. 137, pp. 275-285, 1990.
35. M. S. Hong and K. F. Ehmann, "Three-Dimensional Surface Characterization by Two-Dimensional Autoregressive Models," Journal of Tribology, vol. 117, pp. 385-393, 1995.
36. S. J. You and K. F. Ehmann, "Computer synthesis of three-dimensional surfaces," Wear, vol. 145, pp. 29-42, 1991.
37. 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.
38. A. Taflove and S. C. Hagness, Computational electrodynamics : the finite-difference time-domain method, 3rd ed. Boston: Artech House, 2005.
39. Z. S. Sacks, D. M. Kingsland, R. Lee, and L. Jin-Fa, "A perfectly matched anisotropic absorber for use as an absorbing boundary condition," Antennas and Propagation, IEEE Transactions on, vol. 43, pp. 1460-1463, 1995.
40. J.-P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," Journal of Computational Physics, vol. 114, pp. 185-200, 1994.
41. S. D. Gedney, "An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices," Antennas and Propagation, IEEE Transactions on, vol. 44, pp. 1630-1639, 1996.
42. C. A. Balanis, Advanced engineering electromagnetics. New York: Wiley, 1989.
43. M. F. Su, I. El-Kady, D. A. Bader, and S. Y. Lin, "A novel FDTD application featuring OpenMP-MPI hybrid parallelization," in Parallel Processing, 2004. ICPP 2004. International Conference on, 2004, pp. 373-379 vol.1.
44. Y. Liu, Z. Liang, and Z. Yang, "Computation of electromagnetic dosimetry for human body using parallel FDTD algorithm combined with interpolation technique," Progress In Electromagnetics Research, vol. 82, pp. 95-107, 2008.
45. G. Jian, Y. Su, and J. Jian-Ming, "An OpenMP-CUDA Implementation of Multilevel Fast Multipole Algorithm for Electromagnetic Simulation on Multi-GPU Computing Systems," Antennas and Propagation, IEEE Transactions on, vol. 61, pp. 3607-3616, 2013.
46. C. Guiffaut and K. Mahdjoubi, "A parallel FDTD algorithm using the MPI library," Antennas and Propagation Magazine, IEEE, vol. 43, pp. 94-103, 2001.
47. J. Wang, O. Fujiwara, S. Watanabe, and Y. Yamanaka, "Computation with a parallel FDTD system of human-body effect on electromagnetic absorption for portable telephones," Microwave Theory and Techniques, IEEE Transactions on, vol. 52, pp. 53-58, 2004.
48. L. X. Guo, J. Li, and H. Zeng, "Bistatic scattering from a three-dimensional object above a two-dimensional randomly rough surface modeled with the parallel FDTD approach," Journal of the Optical Society of America A, vol. 26, pp. 2383-2392, 2009.
49. J. Li, L. X. Guo, H. Zeng, and X. B. Han, "Message-passing-interface-based parallel FDTD investigation on the EM scattering from a 1-D rough sea surface using uniaxial perfectly matched layer absorbing boundary," Journal of the Optical Society of America A, vol. 26, pp. 1494-1502, 2009.
50. A. Vaccari, A. Cala' Lesina, L. Cristoforetti, and R. Pontalti, "Parallel implementation of a 3D subgridding FDTD algorithm for large simulations," Progress In Electromagnetics Research, vol. 120, pp. 263-292, 2011.
51. T. P. Stefanski, S. Benkler, N. Chavannes, and N. Kuster, "Parallel implementation of the Finite-difference time-domain method in Open Computing Language," in Electromagnetics in Advanced Applications (ICEAA), 2010 International Conference on, 2010, pp. 557-560.
52. T. P. Stefanski, N. Chavannes, and N. Kuster, "Performance evaluation of the multi-device OpenCL FDTD solver," in Antennas and Propagation (EUCAP), Proceedings of the 5th European Conference on, 2011, pp. 3995-3998.
53. P. Sypek, A. Dziekonski, and M. Mrozowski, "How to Render FDTD Computations More Effective Using a Graphics Accelerator," IEEE Transactions on Magnetics, vol. 45, pp. 1324-1327, 2009.
54. C. G. Jia, L. X. Guo, and P.-j. Yang, "GPU accelerated FDTD method for investigation on the EM scattering from 1-D large scale rough surface under low grazing incidence," 2013, pp. 88950G-88950G-6.
55. M. E. Knotts and K. A. O’Donnell, "Measurements of light scattering by a series of conducting surfaces with one-dimensional roughness," Journal of the Optical Society of America A, vol. 11, pp. 697-710, 1994.
56. K. Lei and J. Ya-Qiu, "Bistatic Scattering From a Three-Dimensional Object Over a Randomly Rough Surface Using the FDTD Algorithm," Antennas and Propagation, IEEE Transactions on, vol. 55, pp. 2302-2312, 2007.
57. L. Jian, G. Xu, J. Song, H. Xue, D. Zhao, and J. Liang, "Optimum design for improving modulating-effect of coaxial magnetic gear using response surface methodology and genetic algorithm," Progress In Electromagnetics Research, vol. 116, 297-312, 2011.
58. U. K. Garg, M. P. Kaur, V. K. Garg, and D. Sud, "Removal of Nickel(II) from aqueous solution by adsorption on agricultural waste biomass using a response surface methodological approach," Bioresource Technology, vol. 99, pp. 1325-1331, 2008.
59. E. Rosales, M. A. Sanromán, and M. Pazos, "Application of central composite face-centered design and response surface methodology for the optimization of electro-Fenton decolorization of Azure B dye," Environmental Science and Pollution Research, vol. 19, pp. 1738-1746, 2012.
60. K. Pak, J. Johnson, L. Tsang, and C. H. Chan, "Backscattering enhancement of electromagnetic waves from two-dimensional perfectly conducting random rough surfaces based on Monte Carlo simulations," Journal of the Optical Society of America A, vol. 12, pp. 2491-2499, 1995.
61. Y. Kuga and P. Phu, "Experimental studies of millimeter-wave scattering in discrete random media and from rough surfaces - Summary," Journal of Electromagnetic Waves and Applications, vol. 10, pp. 451-453, 1996.
62. K. Pak, L. Tsang, and J. Johnson, "Numerical simulations and backscattering enhancement of electromagnetic waves from two-dimensional dielectric random rough surfaces with the sparse-matrix canonical grid method," Journal of the Optical Society of America A, vol. 14, pp. 1515-1529, 1997.
63. Y. Kuga and P. Phu, "Experimental studies of millimeter-wave scattering in discrete random media and from rough surfaces - Summary," Journal of Electromagnetic Waves and Applications, vol. 10, pp. 451-453, 1996.
64. 吳奇寯(2014),「以蘇格蘭軛機開發一維隨機粗糙表面製造機並呈現樣本優異輻射性質」,國立成功大學機械工程學系所碩士論文。