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研究生: 董逸航
Tung, Yi-Hang
論文名稱: The Study of Gravitational Micro-lensing Light Curves
微重力透鏡之光變曲線研究
指導教授: 江瑛貴
Jiang, Ing-Guey
口試委員: 賴詩萍
Lai, Shih-Ping
葉麗琴
Yeh, Li-Chin
學位類別: 碩士
Master
系所名稱: 理學院 - 天文研究所
Institute of Astronomy
論文出版年: 2011
畢業學年度: 99
語文別: 英文
論文頁數: 41
中文關鍵詞: 微重力透鏡之光變曲線研究微重力透鏡光變曲線
外文關鍵詞: The Study of Gravitational Micro-lensing Light Curves, Gravitational Micro-lensing, Light Curves
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  • We start from the Einstein's general relativity and derive gravitational deflection angle, we then establish the source-lens system-observer relation by coordinate mapping; this relation is the called lens equation. Next we give the single and binary lenses system light curve calculation and also its finite source effect correction. Finally the applications of micro-lensing and Pan-STARRS observing experience are described.


    在論文裡,我們從愛因斯坦的廣義相對論開始,得到由重力產生的光偏折角,用以建構出重力透鏡方程式,即描述光源、透鏡及觀察者等性質的方程式。接著我們將其應用在計算一個及兩個質點的微重力透鏡的光變曲線,並且作了光源的大小修正,使其非無限小之光源,並且分析不同的光源亮度分佈對光變曲線的影響。最後我們介紹微重力透鏡的應用以及將其應用在泛星計畫上。

    List of Figures . . . . . . . . . . . . . . . . v 1 Introduction . . . . . . . . . . . . . . . . 1 1.1 History . . . . . . . . . . . . . . . . . . 1 1.2 The description of general lens. . . . . . . 3 1.2.1 Deection angle . . . . . . . . . . . . . . 3 1.2.2 Lens equation . . . . . . . . . . . . . . 6 1.2.3 Magni_cation . . . . . . . . . . . . . . . 8 1.2.4 Critical curves . . . . . . . . . . . . . 9 1.3 Higher order e_ects . . . . . . . . . . . . 10 1.3.1 Finite source e_ect . . . . . . . . . . . 10 1.3.2 Parallax e_ect . . . .. . . . . . . . . . 10 1.3.3 Other e_ects . . . . . . . . . . . . . . 10 2 Single-lens properties . . . . . . . .. . . . 11 2.1 Point source point single lens light curve 11 2.2 Finite-source correction . . .. . . . . . . 12 3 Binary-lenses properties. . . . . . . .. . . 23 3.1 Point source point binary lens light curve. 23 3.2 Finite-source correction . . . . . . . . . 25 4 Micro-lensing applications . . . . . . . . . 33 4.1 Planetary system . . . . . . . . . . . . . 33 4.2 Dark matter . . . . . . . . . . . . . . . . 34 5 Observation . .. . . . . . . . . . . . . . . .35 6 Summary . . . . . . . . . . . . . . . . . . . 39 References . . . . . . . . . . . . . . . . . . 41

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