變換光學與晶體光學之關係探討

Research of the relation between transformation optics and crystal optics

郭瀚隆(Han-Lung Kuo)

指導教授 ： 欒丕綱

國立中央大學/理學院/光電科學研究所/碩士(2011年)

摘要

本篇論文主要利用變換光學的理論來設計有凹透鏡、凸透鏡作用的平面圓柱波轉換器，以及達到完全透明的透明護罩。我們找到在TM波 (磁場在z方向)模態下之非磁性晶體光學參數和變換光學轉換函數的對應，並利用單軸晶體來實現非磁性隱形斗篷。最後, 我們以一個光偏移器的設計來闡述以變換光學的角度去看一個元件設計問題，而不以傳統的晶體光學的角度看此同一問題所得到的好處。

關鍵字

隱形斗篷 ； 超材料 ； 變換光學 ； 晶體光學 ； 超潁

並列摘要

In this thesis we use transformation optics theory to design two kinds of planar- to-cylindrical wave translators, one works like concave lens and the other like convex lens. We find the relations between the crystal optics parameters and the coordinate transformation functions in the TM mode (the electric field lies on the x-y plane) case, and find the way for designing non-magnetic invisibility cloak using uniaxial crystals. Finally, as an example, we use the design of a wave bender to explain the advantages of designing devices using the concepts of transformation optics instead of solving the same problem using the traditional concepts of crystal optics.

並列關鍵字

transformation optics ； invisibility cloak ； metabaterial ； crystal optics ； transformation media

參考文獻

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[2] Yun Lai, Huanyang Chen, Zhao-Qing Zhang, and C. T. Chan, Complementary Media Invisibility Cloak that Cloaks Objects at a Distance Outside the Cloaking Shell, Phys. Rev. Lett. 102, 093901 (2009)

[3] Hongsheng Chen, Baile Zhang, Brandon A. Kemp, and Bae-Ian Wu, Optical force on a cylindrical cloak under arbitrary wave illumination, Opt. Lett. 35, 667 (2010)

[4] M. Rahm, D. A. Roberts, J. B. Pendry and D. R. Smith, Transformation-optical design of adaptive beam bends and beam expanders, Opt. Lett. 16, 11567 (2008)

[5] Do-Hoon Kwon, and Douglas H. Werner, Polarization splitter and polarization rotator designs based on transformation optics, Opt. Express 16, 18738 (2008)