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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 陳瑞琳(Ruey-Lin Chern) | |
dc.contributor.author | Kai-Siang Jhang | en |
dc.contributor.author | 張凱翔 | zh_TW |
dc.date.accessioned | 2021-06-16T08:05:18Z | - |
dc.date.available | 2014-07-16 | |
dc.date.copyright | 2014-07-16 | |
dc.date.issued | 2014 | |
dc.date.submitted | 2014-06-26 | |
dc.identifier.citation | 1. LI, J. and J. PENDRY, Hiding under the Carpet: A New Strategy for Cloaking. Phys. Rev. Lett., 2008. 101(20).
2. Leonhardt, U., Optical conformal mapping. Science, 2006. 312(5781): p. 1777-1780. 3. Schurig, D., J. Pendry, and D. Smith, Calculation of material properties and ray tracing in transformation media. Opt. Express, 2006. 14(21): p. 9794-9804. 4. Milton, G.W., M. Briane, and J.R. Willis, On cloaking for elasticity and physical equations with a transformation invariant form. New J. Phys., 2006. 8(10): p. 248. 5. Leonhardt, U. and T.G. Philbin, General relativity in electrical engineering. New J. Phys., 2006. 8(10): p. 247. 6. Pendry, J.B., D. Schurig, and D.R. Smith, Controlling electromagnetic fields. Science, 2006. 312(5781): p. 1780-1782. 7. Leonhardt, U. and T.G. Philbin, Transformation optics and the geometry of light. Prog. Opt., 2009. 53: p. 69-152. 8. Chen, H., C. Chan, and P. Sheng, Transformation optics and metamaterials. Nat. Mater., 2010. 9(5): p. 387-396. 9. Thompson, J.F., B.K. Soni, and N.P. Weatherill, Handbook of Grid Generations. 1999: CRC press. 10. Landy, N.I. and W.J. Padilla, Guiding light with conformal transformations. Opt. Express, 2009. 17(17): p. 14872-14879. 11. Ma, Y., N. Wang, and C. Ong, Application of inverse, strict conformal transformation to design waveguide devices. J. Opt. Soc. Am. A-Opt. Image Sci. Vis., 2010. 27(5): p. 968-972. 12. Landy, N., N. Kundtz, and D. Smith, Designing three-dimensional transformation optical media using quasiconformal coordinate transformations. Phys. Rev. Lett., 2010. 105(19): p. 193902. 13. Brown, J.W. and R.V. Churchill, Complex variables and applications. Vol. 7. 1996: McGraw-Hill New York. 14. Turpin, J.P., et al., Conformal mappings to achieve simple material parameters for transformation optics devices. Opt. Express, 2010. 18(1): p. 244-252. 15. Yao, K. and X. Jiang, Designing feasible optical devices via conformal mapping. J. Opt. Soc. Am. B-Opt. Phys., 2011. 28(5): p. 1037-1042. 16. Li, H., et al., Revisit the carpet cloak from optical conformal mapping. arXiv preprint arXiv:1304.3349, 2013. 17. Ochiai, T. and J. Nacher, Carpet cloaking and Laplace transformation. arXiv preprint arXiv:1202.4447, 2012. 18. Schmied, R., J.C. Halimeh, and M. Wegener, Conformal carpet and grating cloaks. Opt. Express, 2010. 18(23): p. 24361-24367. 19. Zhang, P., M. Lobet, and S. He, Carpet cloaking on a dielectric half-space. Opt. Express, 2010. 18(17): p. 18158. 20. Gharghi, M., et al., A carpet cloak for visible light. Nano Lett., 2011. 11(7): p. 2825-2828. 21. Valentine, J., et al., An optical cloak made of dielectrics. Nat. Mater., 2009. 8(7): p. 568-571. 22. Liu, R., et al., Broadband Ground-Plane Cloak. Science, 2009. 323(5912): p. 366-369. 23. Lee, J., et al., Direct visualization of optical frequency invisibility cloak based on silicon nanorod array. Opt. Express, 2009. 17(15): p. 12922-12928. 24. Renger, J., et al., Hidden progress: broadband plasmonic invisibility. Opt. Express, 2010. 18(15). 25. Fischer, J., T. Ergin, and M. Wegener, Three-dimensional polarization-independent visible-frequency carpet invisibility cloak. Opt. Lett., 2011. 36(11): p. 2059-2061. 26. Mei, Z.L. and T.J. Cui, Experimental realization of a broadband bend structure using gradient index metamaterials. Opt. Express, 2009. 17(20): p. 18354-18363. 27. Kundtz, N. and D.R. Smith, Extreme-angle broadband metamaterial lens. Nat. Mater., 2009. 9(2): p. 129-132. 28. Ma, H.F. and T.J. Cui, Three-dimensional broadband and broad-angle transformation-optics lens. Nat. Commun., 2010. 1: p. 124. 29. Ergin, T., et al., Three-dimensional invisibility cloak at optical wavelengths. Science, 2010. 328(5976): p. 337-339. 30. Wegener, M., Photonic Metamaterials and Transformation Optics: A Very Brief Introduction and Review, in Nano-Optics for Enhancing Light-Matter Interactions on a Molecular Scale. 2013, Springer. p. 23-28. 31. Schurig, D., et al., Metamaterial electromagnetic cloak at microwave frequencies. Science, 2006. 314(5801): p. 977-980. 32. Zhang, B., T. Chan, and B.-I. Wu, Lateral shift makes a ground-plane cloak detectable. Phys. Rev. Lett., 2010. 104(23): p. 233903. 33. 姚洁 and 叶永红, 地毯式隐身材料的形状对隐身效果的影响. 34. Veselago, V.G., THE ELECTRODYNAMICS OF SUBSTANCES WITH SIMULTANEOUSLY NEGATIVE VALUES OF IMG align= ABSMIDDLE alt= ϵ eps/IMG AND μ. Soviet Physics Uspekhi Vol, 1968. 10(4): p. 509-514. 35. Pendry, J., et al., Extremely low frequency plasmons in metallic mesostructures. Phys. Rev. Lett., 1996. 76(25): p. 4773. 36. Pendry, J.B., et al., Magnetism from conductors and enhanced nonlinear phenomena. IEEE Trans. Microw. Theory Tech., 1999. 47(11): p. 2075-2084. 37. Smith, D.R., et al., Composite medium with simultaneously negative permeability and permittivity. Physical review letters, 2000. 84(18): p. 4184. 38. Jackson, J.D. and R.F. Fox, Classical electrodynamics. American Journal of Physics, 1999. 67: p. 841. 39. Nichols, E., An Introduction to the Theory of Optics by Arthur Schuster. The Astrophysical Journal, 1905. 21: p. 382. 40. Wikipedia contributors. Conformal map. 15 April 2014 08:46 UTC 8 May 2014 07:30 UTC]; Available from: http://en.wikipedia.org/w/index.php?title=Conformal_map&oldid=604274466. 41. Wikipedia contributors. Riemann surface. 21 March 2014 00:58 UTC 8 May 2014 07:32 UTC]; Available from: http://en.wikipedia.org/w/index.php?title=Riemann_surface&oldid=600531732. 42. Horowitz, B.R. and T. Tamir, Lateral Displacement of a Light Beam at a Dielectric Interface. JOSA, 1970. 61(5): p. 586-594. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/58062 | - |
dc.description.abstract | 轉換光學理論的發展,設計出想要的光學路徑,將虛擬空間轉換成物理空間,進而得到材料參數,光就可以在我們所設計出的光學路徑中進行。利用此方法可以設計出許多光學應用,隱形就是其中的一種。
超常材料是藉由人工結構的設計或是發明不同的材料,達到巨觀等效的行為,以取得自然界中不存在之特性。而超常材料的概念,也已經從早期的經驗法則,慢慢地被科學家們所掌握,從理論發展到應用面走進日常生活中;運用轉換光學的方法結合超常材料便可以做出隱形斗篷的效果。 然而,超常材料會有頻寬限制,隨著頻率上升,共振單元對電磁波的吸收增大,工作頻率難以進一步升高,所以,就目前的製造技術而言,難以實現可見光頻率的隱形斗篷。於是在2008年Pendry小组提出地毯式斗篷,把需要隱藏的空間壓縮成一個平面而不是一個點或是一個線,通過選擇的座標轉換,得到適當的光學參數,雖然地毯式斗篷要求隱形目標必須位於平面上,但是可使超常材料的工作頻率範圍變寬,實現起來比較簡單,能夠工作在可見光的頻率範圍。 而本論文中我們提出一個新的保角轉換函數做出二維地毯式週期隱形斗篷,其地毯式斗篷具有極佳的隱形效果,其函數特性是當座標在無窮遠時,物理空間與虛擬空間相似,只有產生局部座標變化,且地毯不會因為座標變化而陷入地面,其斗篷最小高寬比為 。隨著地毯高度增加時反射光束的中心角度只會有極小的變化,偏離角度範圍為0~4.63度,且測向位移效果相當於地毯抬升-0.46到0.69個波長。 | zh_TW |
dc.description.abstract | Because of the development of transformation optics, optical paths can be designed and it can turn virtual system into physical system to get material parameters. Therefore, light can travel through my designed optical path. Lots of optical devices had been developed by transformation optics. Cloaking is one of them.
Metamaterials are artificial materials created to have properties that may not be found in nature. Furthermore, humans usually obtain some special properties from designing artificial structure rather than composition, using small inhomogeneities to achieve effective macroscopic behavior. However, broadband is confined in metamaterials. Under the circumstances, cloaking cannot be achieved in visible frequencies. Because resonance structures absorb electromagnetic radiation when increasing frequencies. In 2008, Pendry developed carpet cloaking which compressed cloaking region into a plane, instead of a point or a line. By coordinate transformations, appropriate material parameters can be obtained. Though carpet cloaking must lie in the plane, the broadband is wider. It can conduct in visible frequencies easily. This thesis we present a function to design two-dimensional isotropic grating cloaks using conformal mappings. It has a good cloaking effect. There are two main characteristics that physical system is similar to virtual system when we take limit and the maximum of the bump in the metal carpet develops into a sharp tip and the refractive index becomes singular at the maximum ratio of height to width .When increasing height of the carpet, angular central gaussian distribution will be changed and ranges from 0 to 4.63o. The lateral beam displacements are similar to lifting carpets which ranges from -0.46 to 0.69 wavelengths. | en |
dc.description.provenance | Made available in DSpace on 2021-06-16T08:05:18Z (GMT). No. of bitstreams: 1 ntu-103-R01543033-1.pdf: 3094418 bytes, checksum: df4be8f3aab7d58ecfc4f38c0709cbd6 (MD5) Previous issue date: 2014 | en |
dc.description.tableofcontents | 誌謝 i
中文摘要 ii ABSTRACT iii 總目錄 iv 圖目錄 vi Chapter 1 導論 1 1.1 轉換光學 1 1.1.1 轉換光學的光學應用 3 1.1.2 地毯週期式隱形斗篷 5 1.2 超常材料 8 1.3 本文大綱 11 Chapter 2 理論與方法 12 2.1 基本電磁學理論 12 2.2 轉換光學理論 14 2.3 費密原理 17 2.4 保角轉換推導地毯週期式隱形斗篷 18 2.4.1 保角轉換 18 2.4.2 黎曼曲面 20 2.4.3 保角轉換折射率推導 21 2.4.4 保角轉換之介電係數 、導磁係數 23 2.4.5 本論文函數設計推導 24 2.5 側向位移 26 2.6 高斯光束 27 Chapter 3 結果與討論 29 3.1 波長測試 31 3.2 折射率分佈探討 32 3.3 高斯光束入射地毯週期式隱形斗篷 34 3.4 隱形效果探討 39 3.4.1 高寬比增加時,散射場強度的變化 39 3.4.2 反射光束中心角度的變化 40 3.5 側向位移探討 42 Chapter 4 結論與未來工作 44 4.1 結論 44 4.2 未來工作 45 參考文獻 46 圖目錄 圖 1 1 轉換光學理論示意圖(a)座標轉換後的物理空間(b)座標轉換前的虛擬空間[1] 1 圖 1 2轉換光學示意圖(a)光源原本行進在虛擬空間的路線(b)座標轉換後光源行進在物理空間的路線[2] 2 圖 1 3 利用擬保角轉換設計任意形狀的波導(a)空間中介電係數的分佈(b)光源行進在波導中的模擬圖[10] 3 圖 1 4 利用保角轉換設計出的波導(a)保角轉換前的虛擬空間(b)保角轉換後的物理空間(c)波行進在所設計波導上的模擬圖[15] 4 圖 1 5圓柱形隱形斗篷的示意圖(a)為虛擬空間(b)以點把虛擬空間挖開(c)挖開到要隱形所需的空間,使空間扭曲(d)最後形成物理空間[30] 5 圖 1 6 地毯式隱形斗篷的示意圖(a)為虛擬空間(b)把虛擬空間底部的平面頂開,使空間扭曲,形成物理空間[30] 6 圖 1 7 地毯式斗篷示意圖 6 圖 1 8 SRR結構圖(左)為共振環(右)共振環與金屬線[30] 9 圖 1 9 Smith小组”工”字型的超常材料設計出的隱形斗篷[22] 9 圖 1 10 Zhang Xiang小组SOI wafer的地毯式隱形斗篷[21] 10 圖 2 1 費密原理示意圖,光線傳播會走最短光程路徑 17 圖 2 2 保角轉換經由 函數轉換,從 平面轉換到 平面[40] 18 圖 2 3 函數的黎曼曲面[41] 20 圖 2 4保角轉換前後示意圖,高寬比為 地毯式週期隱形斗篷 24 圖 2 5 產生出座標轉換 值的比較(a) 時地毯產生出的高與寬(b)地毯產生出黎曼曲面 25 圖 2 6側向位移示意圖 26 圖 2 7光束入射單介面示意圖,在 處有一能量呈高斯分布之電磁波以入射角θ入射[42]。 27 圖 3 1 地毯式週期斗篷結構示意圖 29 圖 3 2 波長與寬比對地毯式隱形斗篷的影響 31 圖 3 3 經由保角轉換所得到高寬比為 地毯式週期隱形斗篷的折射率分佈圖 32 圖 3 4 地毯高度增加時,空間中折射率最大值與最小值的變化 33 圖 3 5高寬比為 地毯式週期隱形斗篷模擬圖(a)高斯波45o入射未經保角轉換過的一般地毯(b) 高斯波45o入射保角轉換過的地毯式斗篷 34 圖 3 6 地毯式週期隱形斗篷從高寬比0到高寬比約為 (高度以0.1公尺增加到1.99公尺),(a)到(q)圖為打入高斯波散射出來的結果,(q)圖為接近高寬比 38 圖 3 7 地毯隨高度增加時,高寬比對散射場的變化 39 圖 3 8高斯光束以45o入射,反射光束中心角度隨高寬比的變化 40 圖 3 9高斯光束以60o、45o、30o入射,反射光束中心角度隨高寬比的變化 41 圖 3 10高寬比 為地毯式週期隱形斗篷側向位移模擬圖 42 圖 3 11 地毯式週期斗篷的側向位移模擬圖,橫軸為高寬比, 43 | |
dc.language.iso | zh-TW | |
dc.title | 地毯式週期斗篷隱形效果與側向位移之探討 | zh_TW |
dc.title | Lateral shift and cloaking effect on grating cloaks | en |
dc.type | Thesis | |
dc.date.schoolyear | 102-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 郭志禹(Chih-Yu Kuo),張瑞麟(Ruey-Lin Chang) | |
dc.subject.keyword | 轉換光學、隱形斗篷,地毯式隱形斗篷,側向位移,隱形效果, | zh_TW |
dc.subject.keyword | Transformation optics,Cloaking,Carpet cloaking,Lateral Shift,Cloaking effect, | en |
dc.relation.page | 47 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2014-06-26 | |
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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