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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 郭茂坤(Mao-Kuen Kuo) | |
| dc.contributor.author | Wei-Jiun Lo | en |
| dc.contributor.author | 羅為駿 | zh_TW |
| dc.date.accessioned | 2021-06-16T05:39:00Z | - |
| dc.date.available | 2014-08-16 | |
| dc.date.copyright | 2014-08-16 | |
| dc.date.issued | 2014 | |
| dc.date.submitted | 2014-08-12 | |
| dc.identifier.citation | [1] K. L. Kelly, A. A. Lazarides, and G. C. Schatz, “Computational electromagnetics of metal nanoparticles and their aggregates,” IEEE Comp. Sci. Engi. 3, 67-73, 2001.
[2] J. J. Storhoff, A. A. Lazarides, R. C. Mucic, C. A. Mirkin, R. L. Letsinger, and G. C. Schatz, “What controls the optical properties of DNA-linked gold nanoparticle assemblies?” J. Am. Chem. Soc. 120, 4640-4650, 2001. [3] S. J. Park, T. A. Taton, and C. A. Mirkin, “Array-based electrical detection of DNA with nanoparticle probes,” Science 295, 1503-1505, 2002. [4] J. C. Hulteen, D. A. Treichel, M.T. Smith, M. L. Duval, T. R. Jensen, and R. P. Duyne, “Nanosphere lithography: size-tunable silver nanoparticle and surface cluster arrays,” J. Phys. Chem. B 103, 3854-3863, 1999. [5] T. J. Silve, and S. Schultz, “A scanning near-field optical microscope for the imaging of magnetic domains in reflection,” Rev. Sci. Instrum. 67, 715-720, 1996. [6] R. M. Stockle, Y. D. Suh, V. Deckert, and R. Zenobi, “Nanoscale chemical analysis by tip-enhanced Raman spectroscopy,” Chem. Phys. Lett. 318, 131-136, 2000. [7] S. S. Chang, and C. R. C. Wang, “The synthesis and absorption spectra of several metal nanoparticle systems,” Chem. 56, 209-222, 1998. [8] H. Xu, E. J. Bjerneld, and M. Kall, “Spectroscopy of single hemoglobin molecule by surface-enhanced Raman scattering,” Phys. Rev. Lett. 22, 4357-4360, 1999. [9] J. J. Mock, M. Barbic, D. R. Smith, D. A. Schultz, and S. Schultz, “Shape effects in plasmon resonance of individual colloidal silver nanoparticles,” J. Chem. Phy. 116, 6755-6759, 2002. [10] E. Dvjardin, L. B. Hsin, C. R. C. Wang, and S. Mann, “DNA-driven self-assembly of gold nanorods,” Chem. Comm. 14, 1264-1265, 2001. [11] U. Kreibig, and M. Vollmer, Optical Properties of Metal Cluster, Springer Verlag, Berlin, 1995. [12] C. F. Bohern, and D. R. Huffman, Absorption and Scattering of Light by Small Particles, Wiley, New York, 1983. [13] K. S. Lee, and M. A. El-Sayed, “Gold and silver nanoparticles in sensing and imaging: sensitivity of plasmon response to size, shape, and metal composition,” J. Phys. Chem. B 110, 19220-19225, 2006. [14] X. Haung, Ivan H. El-Sayed, W. Qian, and M. A. El-Sayed, “Cancer Cells Assemble and Align Gold Nanorods Conjugated to Antibodies to Produce Highly Ehnhanced, Sharp, and Polarized Surface Raman Spectra: A Potential Cancer Diagnostic Marker,” Nano. Lett., 7(6), 1591-1597, 2007 [15] V. M. Agranovich, and D. L. Mills, Surface Polaritons Electromagnetic at Surfaces and Interfaces, North-Holland, New York, 1982. [16] R. H. Ritchie, “Plasma losses by fast electrons in thin films,” Phys. Rev. 106, 874, 1957. [17] E. Burstein, Polariton, Pergamon, New York, 1974. [18] W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nacture 424,824-830, 2003. [19] S. S. Chang, C. W. Shih, C. D. Chen, W. C. Lai, and C. R. Chris Wang, “The shape transition of gold nanorods,” Langmuir 15, 701-709, 1999. [20] N. R. Jana, L. Gearheart, and C. J. Murphy, “Wet chemical synthesis of high aspect ratio cylindrical gold nanorods,” J. Phys. Chem. B 105, 4065-4067, 2001. [21] S. Eustis, and E. S. Mostafa, “Aspect ratio dependence of the enhanced fluorescence intensity of gold nanorods: experimental and simulation study,” J. Phys. Chem. B 109, 16350-16356, 2005. [22] 蔡孝彥，“金奈米桿及偏心球殼結構之光學特性研究，” 國立臺灣大學應用力學研究所碩士論文，2011。 [23] 黃駿惠，“奈米桿表面電漿共振模態分析，”國立臺灣大學應用力學研究所碩士論文，2012。 [24] Rayleigh, D. W. Philos. Mag. S. 5. 41, 107-120, 274-279, 1871. [25] M. KerKer, “The Scattering of Light and Other Electromagnetic Radiation,” Academic Press., New York, 1969. [26] Van de Hulst, and H. C., “Light Scattering by small Particles,” Wiley, New York, 1957. [27] Z. Gryczynski, J. Lukomska, J. R. Lakowicz, E. G. Matveeva, and I. Gryczynski, “Depolarized light scattering from silver nanoparticles,” Chemical Physics Letters, 421, 189-192, 2006. [28] N. Calander, I. Gryczynski, and Z. Gryczynski, “Interference of surface plasmon resonances causes enhanced depolarized light scattering from metal nanoparticles,” Chemical Physics Letters, 434, 326-330, 2007. [29] B. N. Khlebtsov, V. A. Khanadeev, and N. G. Khlebtsov, “Observation of extra-high depolarized light scattering spectra from gold nanorods,” J. Phys. Chem. C, 112, 12760-12768, 2008. [30] J. P. Barton, D. R. Alexander, and S. A. Schaub, “Theoretical determination of net radiation force and torque for a spherical particle illuminated by a focused laser beam,” J. Appl. Phys. 66(10), 1989 [31] K. Dholakia, P. Reece, and M. Gu, “Optical micromanipulation,” Chem. Soc. Rev. 37, 42-55. [32] M. L. Juan, M. Righini, and R. Quidant, “Plasmon nano-optical tweezers,” Nat. Photonics, 5, 349-356, 2011 [33] K. C. Toussaint, Jr., M. Liu, M. Pelton, J. Pesic, M. J. Guffey, P. Guyot-Sionnest, and N. F. Scherer, “Plasmon resonance-based optical trapping of single and multiple Au nanoparticles,” Optics Express, 15, 2007. [34] R. Saija, P. Denti, F. Borghese, O. M. Marago, and M. A. Iati, “Optical trapping calculations for metal nanoparticles. Comparison with experimental data for Au and Ag spheres.” Opt. Express. 17, 2009. [35] S. H. Simpson, and S. Hanna, “Orbital motion of optically trapped particles in Laguerre-Gaussian beams,” Opt. Soc. Am. A, 27, 2061-2071, 2010. [36] R. Kumar, D. S. Mehta, and C. Shakher, “Clustering of optically trapped large diameter plasmonic gold nanoparticles by laser beam of hybrid-TEM11 mode,” J. Nanophotonics, 5, 053511, 2010. [37] M. Pelton, M. Liu, H. Y. Kim, G. Smith, P. Guyot-Sionnest, and N. F. Scherer, “Optical trapping and alignment of single gold nanorods by using plasmon resonances,” Opt. Lett. 31, 2075-2077, 2006 [38] P. Zijlstra, M. van Stee, N. Verhart, Z. Gu, and M. Orrit, “Rotational diffusion and alignment of short gold nanorods in an external electric field,” Phys. Chem. Chem. Phys. 14, 4584-4588, 2012. [39] L. Ling, H. L. Guo, X. L. Zhong, L. Huang, J. F. Li, L. Gan, and Z. Y. Li, “Manipulation of glod nanorods with dual-optical tweezers for surface plasmon resonance control,” Nanotechnology, 23, 2012. [40] P. B. Bareil, and Y. Sheng, “Angular and position stability of a nanorod trapped in an optical tweezers,” Opt. Experss, 18, 26388-26398, 2010 [41] J. Trojek, L. Chvatal, and P. Zemanek, “Optical alignment and confinement of an ellipsoidal nanorod in optical tweezers: a theoretical study,” J. Opt. Soc. Am. A, 29, 1224-1236, 2012. [42] L. Tong, V. D. Miljkovic, and M. Kall, “Alignment, rotation, and spinning of single plasmonic nanoparticles and nanowires using polarization dependent optical forces,” Nano Lett. 10, 268-273, 2010. [43] J. Do, M. Fedoruk, F. Jackel, and J. Feldmann, “Two-color laser printing of individual gold nanorods,” Nano Lett. 13, 4164-4168,2013 [44] Z. Yan, J. E. Jureller, J. Sweet, M. J. Guffey. M. Pelton, and N. F. Scherer, “Three-dimensional optical trapping and manipulation of single silver nanowires,” Nano Lett. 12, 5155-5161, 2012. [45] Z. Yan, M. Pelton, L. vigderman, E. R. Zubarev, and N. F. Scherer, “Why single-beam optical tweezers trap gold nanowires in three dimensions,” ACS Nano, 7, 8794-8800, 2013. [46] Ruijgork, and Paul Victor, “Optical manipulation and study of single gold nanoparticles in solution,” 2012. [47] W.-S. Chang, J. W. Ha L. S. Slaughter, and S. Link, “Plasmonic nanorod absorbers as orientation sensor.” Proc. Natl. Acad. Sci. USA, 107, 2781-2786, 2010. [48] H. Ma, P. M. Bendix, and L. B. Oddershede, “Large-scale orientation dependent heating from a single irradiated gold nanorod,” Nano Lett. 12, 3954-3960, 2012. [49] W. Ni, H. Ba, A. A. Lutich, F. Jackel, and J. Feldmann, “Enhancing single-nanoparticle surface-chemistry by plasmonic overheating in an optical trap,” Nano Lett, 12, 4647-4650, 2012. [50] J. C. Maxwell, “A dynamical theory of the electromagnetic field,” Philosophical Transactions of the Royal Society, 1865. [51] D. J. Griffiths, Introduction to Electrodynamics, Prentice Hall, New Jersey, 1996. [52] J. H. Weaver, and H. P. R. Frederikse, Optical Properties of Selected Elements, McGraw Hill, New York, 1972. [53] P. B. Johnson, and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370-4379, 1972. [54] J. A. Stratton, Electromagnetic Theory, McGraw Hill, New York, 1941. [55] G. Mie, “Beitrage zur optik truber medien, speziell kolloidaler metallosungen,” Ann. Phys. 25, 377-452, 1908. [56] M. Thomas, J.-J. Greffet, R. Carmitati, and J. R. Arias-Gonzalez, “Single-moledcule spontaneous emission close to absorbing nanostructures,” Appl. Phys. Lett. 85(17), 2004. [57] C. D. Allemand, “Depolarization ratio measurements in Raman spectrometry,” Applied Spectroscopy, 24(3), 348–353, 1970. [58] C. Hafner, “Beitrage zur berechnung der ausbreitung electromagneitscher wellen in zylindrischen struckturen mit hilfe des point-matching ver fahrens,” Ph.D. dissertation, Swiss Polytechnical Institute of Technology, Zurich, Switzerland, 1980. [59] N. Kuster, and R. Ballisti, “MMP method simulation of antenna with scattering object in the closer-near field,” IEEE. Trans. Magn. 26, 658-661, 1990 [60] C. Hafner, and N. Kuster, “Computation of electromagnetic fields by multiple multipole method (generalized multipole technique),” Radio. Sci. 26, 291-297, 1991. [61] C. Hafner, The Generalized Multipole Technique of Computational Electromagnetics, Artech. House, Boston, 1991. [62] I. N. Vekua, New Methods for Solving Elliptic Equations, North-Holland, New York, 1993 [63] F. M. Kahnert, “Numerical methods in electromagnetic scattering theory,” J. Quant. Spectrosc. Radiat. Transfer. 79, 775-824, 2003. [64] H. William, A. T. Saul, T. V. William, and F. P. Brian, Numerical Recipes C++: the Art of Scientific Computing, Cambridge University Press, New York, 2002. [65] 李承諭，“金奈米桿結構之光學特性分析，” 國立臺灣大學應用力學研究所碩士論文，2010。 [66] J. W. Liaw, M. K. Kuo, and C. N. Liao, “Plasmon resonances of spherical and ellipsoidal nanoparticles,” J. of Electromagn. Waves and Appl. 19(13), 1787-1794, 2005. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/56633 | - |
| dc.description.abstract | 本文主要研究為金、銀奈米桿之光學與力學特性，奈米桿因為幾何形狀上特殊，在表面電漿共振(surface plasmon resonance；SPR)模態中出現長軸表面電漿共振(LSPR)，此獨特現象使得金、銀奈米桿在光學特性與力學效應上有許多值得探討的地方，特別是近紅外線範圍。本研究依據Maxwell電磁理論作為基礎，並利用多重中心展開法作為模擬計算方法，分析含有金、銀奈米桿的電磁場，進而探討衍生的光學與力學特性。
研究主要分為兩部分，光學部分著重於模擬實驗中平面波入射金奈米桿水溶液的平均光學效應，包含散射、吸收與消散截面積平均效率和平均去極化效率，在截面積平均效率中亦討論簡化運算的三主軸入射計算法，結果顯示三主軸入射計算法只適用於描述SPR僅出現第一模態的細小金奈米桿。 力學部分本研究使用Maxwell應力張量來分析金、銀奈米桿上電磁場對其所產生之應力，將應力沿著奈米桿表面積分後取得光力，或乘上力臂再沿著表面積分後可得光力矩。在模擬分析結果發現金、銀奈米桿對線性偏極光所產生之光力矩具有兩種模態，分別為介於短軸SPR與LSPR範圍之間的垂直模態(perpendicular mode)，及波長長於LSPR的平行模態(parallel mode)，光力矩為零的時候我們稱之轉捩點(turning point)，轉捩點之波長正好為LSPR。此兩種模態的發現，可以清楚的解釋前人實驗的結果：對於同一波長的線性偏極光照射下，奈米桿因受到光力矩驅使，最終平行於入射波的電場極化方向，而奈米線則垂直於入射波的電場極化方向。這種造成奈米桿與奈米線有不同對齊(alignment)方向的原因為金、銀奈米桿隨著細長比的增加，該LSPR會隨之產生紅位移的現象。 | zh_TW |
| dc.description.abstract | In this thesis, we theoretically studied the optical properties and mechanical responses of gold (GNRs) and silver nanorods (SNRs). GNRs and SNRs have different kinds of polarizability: longitudinal surface plasmon resonance (LSPR) and transverse surface plasmon resonance (TSPR), because of the anisotropic geometry. Based on Maxwell’s equations, the multiple-multipole (MMP) method was used to investigate the electromagnetic field of a plane wave illuminating these nanorods.
The research is mainly divided into two parts. For the optical properties, we focused on the average optical effects of a plane wave illuminating a GNRs. The average scattering, absorption and extinction efficiency, and the average depolarization ratio of a randomly oriented GNR were analyzed. A simple model, three-principal-axes method, was also used to calculate these efficiencies. The result showed that the simple model can only be useful for slim GNRs which have only the first SPR mode. For the mechanical responses, Maxwell stress tensor is used to investigate optical force and optical torque produced by the electromagnetic field on GNRs and SNRs. Simulation results show that there are two alignment modes of GNRs and SNRs. One is perpendicular mode; the range is between of LSPR and TSPR. The other one is parallel mode for those wavelengths longer than LSPR. The turning point between the two modes is at LSPR with a null optical torque. The two different modes can help us to explain why under the irradiance of the same NIR laser the alignments of nanorod and nanowire are different. For the former, the long axis is aligned to parallel to the polarization of a linearly polarized light. In contrast, the latter is aligned to perpendicular to the light polarization. This is because that the LSPR of GNR or SNR is red-shifted as the aspect ratio increases. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-16T05:39:00Z (GMT). No. of bitstreams: 1 ntu-103-R01543038-1.pdf: 4789422 bytes, checksum: c69e998d26ef5d4471ab2228e2f657df (MD5) Previous issue date: 2014 | en |
| dc.description.tableofcontents | 誌謝 i
摘要 ii Abstract iii 目錄 v 圖表目錄 vii 第一章 緒論 1 1.1 前言 1 1.2 文獻回顧 2 1.3 本文內容 4 第二章 電磁理論 6 2.1 Maxwell 方程式與邊界條件[51] 6 2.2 Helmholtz方程[54] 8 2.3 球向量波函數[55] 8 2.4 散射、吸收與消散截面積效率[56] 11 2.5 平面波之平均入射效應[22] 12 2.6 平面波入射金奈米桿之平均去極化效率 16 2.7 Maxwell應力張量相關電磁問題 17 第三章 多重中心展開法(MMP) 24 3.1 多重中心展開法基本觀念 24 3.2 多重展開中心法解奈米粒子之電磁場 25 3.3 奇異值拆解法求解電磁場未知係數 27 第四章 數值結果分析與討論 33 4.1 金奈米桿之平均光學效應 33 4.2 金、銀奈米桿之力學效應 40 4.2.1 金奈米桿 40 4.2.2 銀奈米桿 54 第五章 結論與未來展望 70 5.1 結論 70 5.2 未來展望 71 參考文獻 72 附錄 79 | |
| dc.language.iso | zh-TW | |
| dc.subject | 垂直與平行模態 | zh_TW |
| dc.subject | 奈米桿 | zh_TW |
| dc.subject | 表面電漿共振 | zh_TW |
| dc.subject | 長軸表面電漿共振 | zh_TW |
| dc.subject | 多重中心展開法 | zh_TW |
| dc.subject | 散射、吸收與消散截面積平均效率 | zh_TW |
| dc.subject | 去極化平均效率 | zh_TW |
| dc.subject | Maxwell應力張量 | zh_TW |
| dc.subject | 光力矩 | zh_TW |
| dc.subject | silver nanorods | en |
| dc.subject | gold nanorods | en |
| dc.subject | perpendicular mode | en |
| dc.subject | parallel mode | en |
| dc.subject | optical torque | en |
| dc.subject | Maxwell stress tensor | en |
| dc.subject | average depolarization ratio | en |
| dc.subject | extinction cross section efficiency | en |
| dc.subject | absorption | en |
| dc.subject | average scattering | en |
| dc.subject | multiple-multipoles (MMP) method | en |
| dc.subject | longitudinal surface plasmon resonance(LSPR) | en |
| dc.subject | surface plasmon resonance(SPR) | en |
| dc.title | 金、銀奈米桿之光學與力學特性研究 | zh_TW |
| dc.title | Optical Properties and Mechanical Responses of Gold and Silver Nanorods | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 102-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 廖駿偉(Jiunn-Woei Liaw),鄧崇任 | |
| dc.subject.keyword | 奈米桿,表面電漿共振,長軸表面電漿共振,多重中心展開法,散射、吸收與消散截面積平均效率,去極化平均效率,Maxwell應力張量,光力矩,垂直與平行模態, | zh_TW |
| dc.subject.keyword | gold nanorods,silver nanorods,surface plasmon resonance(SPR),longitudinal surface plasmon resonance(LSPR),multiple-multipoles (MMP) method,average scattering, absorption, extinction cross section efficiency,average depolarization ratio,Maxwell stress tensor,optical torque,parallel mode,perpendicular mode, | en |
| dc.relation.page | 81 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2014-08-12 | |
| dc.contributor.author-college | 工學院 | zh_TW |
| dc.contributor.author-dept | 應用力學研究所 | zh_TW |
| 顯示於系所單位： | 應用力學研究所 | |
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