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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/30590完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 曾雪峰 | |
| dc.contributor.author | You-Ling Weng | en |
| dc.contributor.author | 翁佑菱 | zh_TW |
| dc.date.accessioned | 2021-06-13T02:09:36Z | - |
| dc.date.available | 2008-07-16 | |
| dc.date.copyright | 2007-07-16 | |
| dc.date.issued | 2007 | |
| dc.date.submitted | 2007-06-26 | |
| dc.identifier.citation | [1] Yablonovitch. E., “Inhibited Spontaneous Emission in Solid-State Physics and Electronics,” Phys. Rev. Lett., 58, p2059 (1987).
[2] John. S., “Strong Localization of photons in certain disordered dielectric superlattice,” Phys. Rev. Lett., 58, p2486 (1987). [3] John. D. Joannopoulos and Robert D. Meade and Joshua N Winn, Photonic Crystals: Molding the Flow of Light, Princeton, N.J.: Princeton University Press, c1995. [4] Kosaka, PRB 58, R10096 (1998). [5] V. G. Veselago, Sov. Phys. Usp. 10, 509 s1968d. [6] J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000). [7] A. Taflove and S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method Artech, Boston, MA (2000). [8] Berenger, J. P., “A Perfectly Matched Layer for the Absorption of Electromagnetic Waves,” J. Comput. Phys., Vol. 114, 185-200 (1994). [9] Charles Kittel, Introduction to Solid State Physics, John Wiley & Sons, Inc., 7th, 1996. [10] S. Foteinopoulou and C. M. Soukoulis, “Negative refraction and left-handed behavior in two-dimensional photonic crystals,” Phys. Rev. B 67, 235107 (2003). [11] M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap,” Phys. Rev. B 62, 10696 (2000). [12] Chiyan Luo, Steven G. Johnson, and J. D. Joannopoulos, and J. B. Pendry, “All-angle negative refraction without negative effective index,” Phys. Rev. B65, 201104 (2002). [13] H. Kosaka et al., “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett., vol. 74, pp. 1212–1214 (1999). [14] Zhi-Yuan Li and Lan-Lan Lin, “Evaluation of lensing in photonic crystal slabs exhibiting negative refraction,” Phys. Rev. B 68, 245110 (2003). [15] A. Martinez, H. Miguez, A. Griol, and J. Marti, “Experimental and theoretical analysis of the self-focusing of light by a photonic crystal lens,” Phys. Rev. B. 69, 165119 (2004). [16] C. Luo, S. G. Johnson, J. D. Joannopoulos, J. B. Pendry, “ Subwavelength imaging in photonic crystals,” Phys. Rev. B 68, 045115 (2003). [17] Ertugrul Cubukcu, Koray Aydin, Ekmel Ozbay, Stavroula Foteinopoulou,Costas M. Soukoulis, “Negative refraction by photonic crystals,” Nature 423,604 (2003). [18] X. Wang, Z. Ren, and K. Kempa, “Unrestricted superlensing in a triangular two dimensional photonic crystal,” Opt. Express 12, 2919-2924 (2004). [19] X. Wang and K. Kempa, “Effects of disorder on subwavelength lensing in two-dimensional photonic crystal slabs,” Phys. Rev. B 71, 085101 (2005). [20] H. Zhang, L. Shen, L. Ran, Y. Yuan, and J. A. Kong, “Layered superlensing in two-dimensional photonic crystals,” Opt. Express 14, 11178-11183 (2006). [21] G. Sun, A. S. Jugessur, and A. G. Kirk, “Imaging properties of dielectric photonic crystal slabs for large object distances,” Opt. Express 14, 6755-6765 (2006). [22] A. Martínez, H. Míguez, J. Sánchez-Dehesa, and J. Martí, “Analysis of wave propagation in a two-dimensional photonic crystal with negative index of refraction: plane wave decomposition of the Bloch modes,” Opt. Express 13, 4160-4174 (2005). [23] X. Zhang, “Image resolution depending on slab thickness and object distance in a two-dimensional photoniccrystal-based superlens,” Phys. Rev. B 70, 195110 (2004). [24] A. Martinez and J. Marti, “Analysis of wave focusing inside a negative-index photonic-crystal slab,” Opt. Express 13, 2858-2868 (2005). [25] C. Li, J. M. Holt, and A. L. Efros, “Far-field imaging by the Veselago lens made of a photonic crystal,” J. Opt. Soc. Am. B 23, 490-497 (2006). [26] Kao-Der Chang, Pi-Gang Luan, “Wave propagation in Photonic Crystal(光子晶體中的波傳播),” Physics Bimonthly, Vol. 28, No. 5, pp.844-850 (2006). [27] Pi-Gang Luan and Chii-Chang Chen, Photonic Crystals – from Butterfly wings to Nanophotonics ,Wu-Nan Press, Taipei (2005). | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/30590 | - |
| dc.description.abstract | 過去在光子晶體的研究中，大部分都是探討其具有光子頻隙的特性並依此製造出波導、共振腔、光纖等等，在應用上較少提到傳導帶的部分。而在光子晶體的傳導帶中，我們可以觀測到異常折射的現象，甚至有類似負折射現象出現。2000年J.B. Pendry[6]提出利用負折射平板可製造出完美透鏡，使得很多人開始對負折射物質產生興趣。一部分人積極尋找左手物質的存在，另一部分人則研究光子晶體中的等效負折射。本文透過平面波展開法求出二維光子晶體的頻帶圖(即色散曲面)，並以等頻率曲線近似為圓形時且等效為負折射的二維三角晶格平板，利用時域有限差分法模擬其聚光現象，分析以光子晶體作為負折射透鏡對點光源的解析度及聚光強度。而模擬結果指出，將光子晶體平板視為均勻的負折射是不明智的，因為等頻率曲線所預測的為無邊界的光子晶體。我們確實可以利用光子晶體平板實現負折射聚光，但卻無法超越繞射極限，並不能作為完美透鏡。 | zh_TW |
| dc.description.abstract | We investigate the focusing effect in 2D hexagonal photonic crystal (PhC) slab with an effective negative refraction. The effective negative refraction of PhC does not guarantee the existence of left-handed meta-material, so amplification of the evanescent modes is not observed. In this thesis, 2D PhC equi-frequency contour is used to calculate the effective refraction index. We present the point source image properties in 2D PhC slab with uniform effective negative refraction index for various angles by employing the finite-difference time-domain (FDTD) technique. It is shown that the diffraction limit is not overcome by the PhC lens and large angle incident waves are mostly total reflected. The focusing properties of the photonic crystal slab are mainly due to the negative refraction effect, rather than the self-collimation effect. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T02:09:36Z (GMT). No. of bitstreams: 1 ntu-96-R94941086-1.pdf: 4397684 bytes, checksum: abc6bcfdad6e9737ff1ee9695131b7ac (MD5) Previous issue date: 2007 | en |
| dc.description.tableofcontents | 口試委員會審定書……Ⅰ
致謝……………………Ⅱ 中文摘要………………Ⅲ 英文摘要………………Ⅳ 目錄……………………Ⅴ 圖目錄…………………Ⅶ 第一章 導論 1-1 前言………………………1 1-2 本文內容…………………3 1-3 文獻回顧…………………3 第二章 時域有限差分法 2-1 時域有限差分法推導……6 2-2 入射波源設定……………14 2-3 完美匹配吸收邊界層……20 第三章 光子晶體理論分析 3-1 倒晶格理論………………25 3-2 Bloch定理……………… 27 3-3 平面波展開法……………28 3-4 等頻率曲線………………31 第四章 模擬二維三角晶格光子晶體平板 4-1 不同角度的入射光變化…37 4-2 點波源成像………………41 4-3 波源位置對聚光的影響…43 4-4 平板厚度對聚光的影響…46 4-5 平板表面對聚光的影響…50 4-6 平板寬度對聚光的影響…53 第五章 結論與未來展望………58 參考文獻………………………60 | |
| dc.language.iso | zh-TW | |
| dc.subject | 光子晶體 | zh_TW |
| dc.subject | 聚光 | zh_TW |
| dc.subject | 負折射 | zh_TW |
| dc.subject | photonic crystals | en |
| dc.subject | focusing | en |
| dc.subject | negative refraction | en |
| dc.title | 以時域有限差分法分析二維光子晶體聚光現象 | zh_TW |
| dc.title | FDTD simulation and analysis of the focusing effect in
2D photonic crystals | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 95-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 張世慧,陳士元 | |
| dc.subject.keyword | 光子晶體,負折射,聚光, | zh_TW |
| dc.subject.keyword | photonic crystals,negative refraction,focusing, | en |
| dc.relation.page | 62 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2007-06-27 | |
| 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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