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研究生： 商婕柔
Shang, Jie-Rou
論文名稱： 編碼板在康卜吞成像光譜儀的應用
Application of Coded Mask on The Compton Spectrometer and Imager (COSI)
指導教授： 張祥光
Chang, Hsiang-Kuang
口試委員: 張祥光
Chang, Hsiang-Kuang
周翊
Yi Chou
陳林文
Lin-wen Chen
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： 2014
畢業學年度： 102
語文別： 英文
論文頁數： 40
中文關鍵詞： Coded mask 、COSI
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    • The Compton Spectrometer and Imager (COSI) is a soft γ-ray (0.2 ~ 10
    MeV) telescope with twelve germanium detectors (GeDs), which are designed to
    detect the cosmic γ-ray photons by using the Compton scattering technique to
    locate the incident photons. A coded mask technique is planned to be applied on
    this instrument, so that the incoming non-scattered photons below 200 keV can
    be imaged instead of being excluded in the existing Compton imaging approach.
    The imaging capability of COSI is then expected to extend to the hard X-ray
    band (40-100 keV) to enable more possibilities on scientific purposes.
    With a basic mask pattern designed for COSI, which is a 33×31 pixels array
    with a pixel size of 2× 2 mm2 (the spatial resolution of the GeDs is 2 mm), we set up a data reduction pipeline for the coded mask pattern and tested the an-
    alytic method by performing Monte-Carlo simulations to get the instrumental
    parameters and found the best-performed mask geometry and material. The
    effects from the Caroli-factor and pixel shuffling were considered in the simula-
    tions. From the simulation results, we decided to use Tin (Sn) which absorbs
    effectively below 100 keV but is well transmitted at high energy range, as the
    mask material.

    Table of Contents i List of Figures iii List of Tables v 1 The Compton Spectrometer and Imager (COSI) 1 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Germanium Detectors of COSI . . . . . . . . . . . . . . . . . . 2 1.3 Compton Scattering Image . . . . . . . . . . . . . . . . . . . . . 3 1.4 Balloon Flights and Current Status . . . . . . . . . . . . . . . . 3 2 Coded Mask Technique 7 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.2 Coded Mask . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2.1 Recovering the sky image - Deconvolution . . . . . . . . 9 2.2.2 Recovering the sky image - Correlation . . . . . . . . . . 10 2.3 Coded Mask Design for COSI . . . . . . . . . . . . . . . . . . . 11 2.3.1 Uniformly Redundant Array (URA) . . . . . . . . . . . . 11 2.3.2 The URA Pattern for COSI . . . . . . . . . . . . . . . . 13 2.3.3 Field of View . . . . . . . . . . . . . . . . . . . . . . . . 16 2.3.4 Pixel Shuffling . . . . . . . . . . . . . . . . . . . . . . . . 18 3 Simulations and Results of COSI Coded Mask 22 3.1 Simulation Process . . . . . . . . . . . . . . . . . . . . . . . . . 23 3.2 Simulation Results . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.2.1 Mask Absorption effect . . . . . . . . . . . . . . . . . . . 25 3.2.2 Collecting Ratio . . . . . . . . . . . . . . . . . . . . . . . 27 3.2.3 Angular Resolution . . . . . . . . . . . . . . . . . . . . . 28 3.2.4 Sensitivity . . . . . . . . . . . . . . . . . . . . . . . . . . 32 3.3 Future Work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 3.3.1 Position Accuracy . . . . . . . . . . . . . . . . . . . . . . 37 3.3.2 Caroli Factor . . . . . . . . . . . . . . . . . . . . . . . . 38 3.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

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