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標題: | 一維結構應用在鍺量子點成長和紅外線穿透之研究 One-dimensional Structure Applications on Study of Germanium Quantum Dots Growth and Infrared Transmission |
作者: | Yan-Ru Chen 陳彥儒 |
指導教授: | 管傑雄 |
關鍵字: | 電子束微影系統,鍺量子點,紅外線,金屬光柵,傅立葉級數, e-beam,germanium quantum dot,infrared,gratings,Fourier series, |
出版年 : | 2008 |
學位: | 博士 |
摘要: | 電子束微影系統被用來製作奈米尺度的結構和元件,其應用範圍很廣。本篇論文提出兩個應用電子束微影系統製作一維結構所進行的研究:
第一部分的內容是利用矽奈米結構控制鍺量子點的成長位置和大小。這裡提出操控「表面地形曲率」的概念來控制鍺量子點的成長位置和形狀。運用此一觀念,成功地在矽奈米脊部成長高密度一維規則排列的鍺量子點,其密度可以到達每平方公分有5.4×109 個鍺量子點。除此之外,我們利用化學位能來模擬鍺量子點的位置,發現化學位能可以利用表面地形曲率加以操控,進而控制鍺量子點的成長位置。由量子點的大小統計資料,觀察到矽奈米脊部會對成長在其上的鍺量子點的型態和直徑造成影響。此項研究可以提供電子或光電元件上面的應用。 第二部份的內容是探討在紅外線波段中,以橫向電波模正向入射金屬光柵之穿透行為。在這篇論文中,先由紅外線穿透實驗結果為依據,推導出「傅立葉級數展開法」,配合馬克斯威爾方程式和邊界積分法,模擬出橫向電波模正向入射金屬光柵之穿透行為。其方法是將在光柵附近和光柵內電場形式以適當的傅立葉級數展開,可以預測出紅外線的穿透行為。模擬的結果中,光柵內奈米尺度的邊界條件可以被忽略(厚度約20奈米),由模擬的結果得知,忽略奈米邊界條件或是加一項邊界條件符合實驗上量測的結果,而如果增加至五十項邊界條件則和實驗不符。此現象說明由於在微米的尺度下,奈米尺度的邊界條件可以忽略或只考慮一項邊界條件。此項研究有助於紅外光偵測器和生物晶片上的應用。 E-beam lithography system has been extensively exploited in fabricating nano structures and corresponding researches. Two research topics about one-dimensional structures fabricated by e-beam are included in this thesis. The first topic is controls of the germanium quantum dots locations and size by silicon nano ridge arrays. The idea “curvature engineering” is proposed to control germanium quantum dots locations. Based on this idea, high-density one-dimensional well-aligned germanium quantum dots have been experimentally achieved with areal density of 5.4×109 cm-2. Simulations of the chemical potential show that a proper distribution of the surface curvature may give rise to a suitable chemical potential minimum helping positioning the quantum dots. The same method can also be used to control the growth mode and the uniformity of quantum dots on nano ridges. Our results can be applied to form the active quantum dots in nano crystal nonvolatile memories and high-sensitivity quantum-dot infrared detectors. The second topic is the study of infrared transmission through metal gratings. The transverse electric mode normal incident infrared transmission behaviors through Au/silicon gratings with nano scale depth are investigated experimentally. The results are used as reference for building Fourier series expansion method. By matching the Maxwell’s boundary conditions and exploiting integral method, the transmission behaviors can be well predicted. The boundary conditions at the interface of Au/silicon inside the gratings with a depth of 20 nm can be neglected compared with the 4 μm period. Moreover, exact nano boundary conditions (50 modes) are not appropriate for metal gratings with a nano depth and micro period. We think that the differences of dimension in depth and width of grating structures lead to the inappropriateness nano scale boundary conditions. It offers an alternative to deal with the nano scale boundary conditions. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/41907 |
全文授權: | 有償授權 |
顯示於系所單位: | 電子工程學研究所 |
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