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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/72294完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 張宏鈞 | |
| dc.contributor.author | Chung-Kai Sheng | en |
| dc.contributor.author | 盛崇愷 | zh_TW |
| dc.date.accessioned | 2021-06-17T06:33:48Z | - |
| dc.date.available | 2018-08-19 | |
| dc.date.copyright | 2018-08-19 | |
| dc.date.issued | 2018 | |
| dc.date.submitted | 2018-08-16 | |
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Bernardi, “A numerical method based on the discretization of Maxwell equations in integral form,” IEEE Trans. Microwave Theory and Tech., vol. 22, pp. 446–450, 1974. [19] R. F. Harrington, “The method of moments in electromagnetics,” J. Electromagn. Waves Appl., vol. 1, pp. 181–200, 1987. [20] T. Weiland, “A discretization model for the solution of Maxwell’s equations for six-component fields,” Electron. Commun. (AEU), vol. 31, pp. 116–120, 1977. [21] J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys., vol. 114, pp. 185–200, 1994. [22] J. A. Roden and S. D. Gedney, “Convolutional PML (CPML): An efficient FDTD implementation of the CFS-PML for arbitrary media,” Microwave Opt. Technol. Lett., vol. 27, pp. 334–339, 2000. [23] P. Drude, “Zur Elektronentheorie der Metalle,” Annalen der Physik, vol. 306, pp. 566–613, 1900 [24] H. A. Lorentz, The theory of Electrons. Leipzig: Teubner, 1906. [25] I. T. Rekanos and T. G. Papadopoulos, “An auxiliary differential equation method for FDTD modeling of wave propagation in cole-cole dispersive media,” IEEE Trans. Antennas Propaga., vol. 58, pp. 3666–3674, 2010 [26] C.-Y. Chen, C.-F. Hsieh, Y.-F. Lin, R.-P. Pan, and C.-L. Pan, “Magnetically tunable room-temperature 2π liquid crystal terahertz phase shifter,” (OSA) Optics Express., vol. 12, pp. 2625–2630, 2004 [27] K. C. Lim, J. D. Margerum, and A. M. Lackner, “Liquid crystal millimeter wave electronic phase shifter,” Appl. Phys. Lett., vol. 62, 1065, 1993 [28] T.-R. Tsai, C.-Y. Chen, C.-L. Pan, R.-P. Pan, and X.-C. Zhang, “Terahertz time-domain spectroscopy studies of the optical constants of the nematic liquid crystal 5CB,” Appl. Opt., vol. 42, pp. 2372–2376, 2003 [29] C.-Y. Chen, T.-R. Tsai, C.-L. Pan, and R.-P. Pan, “Room temperature terahertz phase shifter based on magnetically controlled birefringence in liquid crystals,” Appl. Phys. Lett., vol. 83, 4497, 2003 [30] C. Kittel, Introduction to Solid State Physics, New York: Wiley, 1996 [31] F. L. Pedrotti, L. M. Pedrotti, L. S. Pedrotti, Introduction to Optics 3rd Ed., Addison-Wesley, 2006 [32] J. B. Schneider Understanding the Finite-Difference Time-Domain Method. Ch. 3-13, 2017 [33] B. W. Kernighan and D. M. Ritchie, The C programming Language, 2nd Edition, Prentice-Hall, 1988. [34] M. J. Quinn, Parallel Programming in C with MPI and OpenMP, McGraw-Hill, 2004 [35] H. A. Haus, Waves and Fields in Optoelectronics., Prentice Hall, 1983 [36] C. Oh and M. J. Escuti, “Time-domain analysis of periodic anisotropic media at oblique incidence: an efficient FDTD implementation,” (OSA) Opt. Express., vol. 14, pp. 11870–11884, 2006 [37] Q. Hao, Y. Zhao, B. K. Juluri, B. Kiraly, J. Liou, I. C. Khoo, and T. J. Huang, “Frequency-addressed tunable transmission in optically thin metallic nanohole arrays with dual-frequency liquid crystals,” J. Appl. Phys., vol. 109, 084340, 2011 [38] W. Dickson, G. A. Wurtz, P. R. Evans, R. J. Pollard, and A. V. Zayats, “Electronically controlled surface plasmon dispersion and optical transmission through metallic hole arrays using liquid crystal,” Nano Lett., vol. 8, pp. 281– 286, 2008 [39] H. Li, S. Xu, H. Wang, Y. Gu, J. R. Lombardl, and W. Xu, “Active-tuned plasmonic angle modulator of light beams for potential application of 3D display” ACS Photonics 1, 677682, 2014 | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/72294 | - |
| dc.description.abstract | 光線在各向異性材料中的折射率是一個張量型式，我們利用有限差分時域法來分析各項異性材料中的光學傳播現象。在本篇論文中，首先利用C程式語言編寫平行化三維有限差分時域法的電磁模擬。這套數值模型可以計算光線在液晶材料中的光學傳播現象。接著利用上述的光學演算法，分析光線在穿透及反射型兩種次波長金屬光柵結構中的光學現象，並分析表面電漿波對此元件的影響。在穿透及反射型兩種光柵中，當光線在金屬光柵的表面激發表面電漿波時，會使穿透及反射的光線能量下降。此外，當光柵的週期長度增加，可以使表面電漿波的共振波長產生紅移。在穿透型光柵中，當入射光光波長略大於表面電漿波的共振波長時，會產生異常穿隧的有趣現象。本研究亦討論次波長金屬光柵在不同液晶配向角度下，穿透及反射頻譜的變化，進一步探討此物理現象在顯示領域的可能應用。 | zh_TW |
| dc.description.abstract | The dielectric permittivity in anisotropic materials is in a tensor form, and we use the finite difference time-domain method (FDTD) to analyze optical propagation in anisotropic materials. In this thesis resarch, we first use the C programming language to estabalish an electromagnetic simulation numerical model based on a parallelized three-dimension (3D) finite-difference time-domain (FDTD) method. This model can treat problems involving anisotropic materials, and the estabalished FDTD algorithm takes case of this property so that the optical-wave propagation in anisotropic materials, such as in liquid crystal, can be analyzed. Then, using this FDTD algorithm, the phenomena of light transmission and reflection in two sub-wavelength metal grating structures are analyzed, and the effect of surface plasmon waves on these devices are investigated. In the transmission and reflection metallic gratings, when the incident light excites a surface plasmon wave on the surface of the grating, the transmitted and reflected energies will be reduced. When the period length of the grating increases, the resonance wavelength of the surface plasmon wave will be red shifted. And in the transmission grating, when the wavelength of the incident light is slightly larger than the resonance wavelength of the surface plasmon wave, an interesting phenomenon of extraordinary optic transmission occurs. This study also discusses the changes of transmission and reflection spectra of sub-wavelength metal gratings at different liquid crystal alignment angles, and further explores the possible applications of this phenomenon in the display field. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-17T06:33:48Z (GMT). No. of bitstreams: 1 ntu-107-R05941031-1.pdf: 13037438 bytes, checksum: a9bc86186288526e77b2634b7730b25e (MD5) Previous issue date: 2018 | en |
| dc.description.tableofcontents | 1 Introduction 1
1.1 Motivations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1 1.2 Introduction to Computational Electromagnetics. . . . . . . . . . . . . . . . . . . . . .3 1.3 Chapter Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2 The Finite-Difference Time-Domain Method. . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2 Maxwell’s equations and FDTD algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . .8 2.3 The Convolutional Perfectly Matched Layer Absorption Boundary Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9 2.4 Implementation of Dispersive Material Models . . . . . . . . . . . . . . . . . . . . ..12 2.4.1 The Drude Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.4.2 The Drude-Lorentz Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.4.3 The Auxiliary Differential Equation Method . . . . . . . . . . . . . . . . . . . . . . .15 2.5 Total/Scattered Field boundary condition . . . . . . . . . . . . . . . . . . . .. . . . . .18 2.6 Periodic Boundary Condition (PBC) . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . .18 2.7 Comparison between FDTD Solutions and Analytical Solutions. . . . . . . . .20 2.7.1 Calculation of Phasor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .20 2.7.2 Calculation of Transmittance and Reflectance . . . . . . . . . . . . . . . . . . . . .21 2.8 Parallel processing of FDTD algorithm . . . . . . . . . . . . . . . . . . . . . . . . . 23 2.8.1 Partitioning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2.8.2 Communication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2.9 Development of the FDTD Parallel Algorithm for Anisotropic Materials . . 24 2.10 The FDTD Algorithm for Anisotropic Material . . . . . . . . . . . . . . . . . . . . . 25 2.11 Mathematical Description of Anisotropic Material Rotation in Space . . . . 30 2.12 Parallel Processing of FDTD algorithm for Anisotropic Material . . . . . . . 31 2.13 Validation of FDTD algorithm for anisotropic materials . . . . . . . . . . . . . . 32 2.13.1 Basic priciples and experiment setup . . . . . . . . . . . . . . . . . . . . . . 32 2.13.2 Setup of Simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .33 3 Frequency Tunable Transmission through Metallic Grating with Liquid Crystals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 3.1 Dispersion Relationship SPPs at Metal/Dielectric Interfaces. . . . . . . . . . . .50 3.2 Excitation of Grating Coupled Surface Plasmons . . . . . . . . . . . . . . . . . . 52 3.3 The Extraordinary Light Transmission . . . . . . . . . . . . . . . . . . . . . . . . . . . . .54 3.4 Transmission Spectrum and Mode Analysis of One-dimensional Metallic Subwavelength Grating . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .55 3.4.1 Effect of Different Grating Periods on Transmission Spectrum . . . . . . .56 3.4.2 Effect of Different Grating Thicknesses on Transmission Spectrum . . . .57 3.4.3 Effect of Grating Filled with Dielectric on Transmission Spectrum and Resonance Mode . . . . . . . .. . . . . .. . . . . . . . . . . . . . . . . .58 3.4.4 Effect of Grating Slit Width on Transmission Spectrum . . . . . . . . . . . .59 3.5 Effect of Grating with Liquid Crystals on Transmission Spectrum . . . . . . . 59 3.5.1 Modeling of the Upper Grating Interface Covers the Liquid Crystal . . . .60 3.5.2 Modeling of the Upper and Lower Interfaces of the Gratings Covered with Liquid Crystals . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . .61 3.5.3 Effect on Transmission Spectrum of the Liquid Crystal Grating Period Change. . . . . . . . . . .. . . . . .. . . . . .. . . . . .. . . . . . . . . . . . . . . . . . . . . . .62 3.5.4 Applications of Liquid Crystal Metal Gratings in the Display Field . . . . . . 64 4 Frequency Tunable Reflection through Metallic Grating with Liquid Crystals.83 4.1 The Mechanism of Exciting SPP Resonances in Reflective Gratings . .83 4.2 Reflection Spectrum and Mode Analysis of 1D Metallic Subwavelength Grating. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .84 4.2.1 The Effect of Different Grating Periods on Reflectance Spectrum . . .84 4.2.2 The Effect of Groove Depth on Reflectance Spectrum . . . . . . . . 86 4.2.3 Modeling of the 1D Metallic Subwavelength Grating Covered with Liquid Crystal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .87 4.2.4 Modeling of the 1D Sinusoidal Grating Covered with Liquid Crystal . .88 4.3 Modeling of the 2D Reflective Grating . . . . . . . . . . . . . . . . . . . . . . . . . . . .89 4.3.1 The Effect of Different 2D Grating Periods on Reflectance Spectrum. . . .89 4.3.2 The Effect of the 2D Sinusoidal Grating Covered with Liquid Crystal on Reflectance Spectrum. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .90 4.4 Applications of Metallic Reflective Subwavelength Gratings with Liquid Crystal in the Display Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..91 5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .107 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .110 | |
| dc.language.iso | en | |
| dc.subject | 液晶 | zh_TW |
| dc.subject | 表面電漿子 | zh_TW |
| dc.subject | 次波長光柵 | zh_TW |
| dc.subject | 有限差分時域法 | zh_TW |
| dc.subject | 各向異性材料 | zh_TW |
| dc.subject | subwavelength grating | en |
| dc.subject | Finite-difference time-domain method | en |
| dc.subject | surface plasma polaritons | en |
| dc.subject | anisotropic material | en |
| dc.subject | liquid crystals | en |
| dc.title | 發展有限差分時域法數值模型以研究覆液晶金屬繞射光柵的表面電漿共振效應 | zh_TW |
| dc.title | Developing Parallelized FDTD Numerical Model for Studying Surface Plasmon Resonances in Liquid Crystal Covered Metallic Diffraction Grating | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 106-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 張世慧,楊宗哲˙ | |
| dc.subject.keyword | 有限差分時域法,各向異性材料,液晶,次波長光柵,表面電漿子, | zh_TW |
| dc.subject.keyword | Finite-difference time-domain method,anisotropic material,liquid crystals,subwavelength grating,surface plasma polaritons, | en |
| dc.relation.page | 114 | |
| dc.identifier.doi | 10.6342/NTU201801906 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2018-08-16 | |
| 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 |
| 顯示於系所單位： | 光電工程學研究所 | |
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