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研究生: 李逸亭
Lee, Yi-Ting
論文名稱: 極紫外光橢偏儀折射率量測
Refractive index measurement by EUV polarimeter
指導教授: 陳明彰
Chen, Ming-Chang
口試委員: 郭倩丞
Kuo, Chieng-Cheng
顧逸霞
Ku, Yi-Sha
學位類別: 碩士
Master
系所名稱: 電機資訊學院 - 光電工程研究所
Institute of Photonics Technologies
論文出版年: 2023
畢業學年度: 111
語文別: 英文
論文頁數: 59
中文關鍵詞: 極紫外光橢偏移折射率偏振
相關次數: 點閱:3下載:0
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  • 折射率作為最具代表性的光學參數,已經被充分研究。 由於每種物質在特定
    波長下的折射率都是唯一的,因此我們得以利用這一特點來辨認特定材料、檢測
    物質的純度等。在半導體產業裡,解析在光子能量在20 電子伏特到120 電子伏
    特之間的複數折射率。此項技術的需求來源於多層膜鏡子和光罩的需要。因此,
    在晶圓和薄膜產業中利用量測極紫外光波段中的折射率來辨認特定材料是必不
    可少的。量測折射率有幾種方法,例如:反射測量法、折射測量法、干涉法、橢
    偏法。在此論文裡,我們將會來探討在波長35 奈米附近的折射率,利用自行搭
    建的極紫外光橢偏儀作為量測系統,接著,我們會將結果和一權威性機構—CXRO
    的資料庫中的結果作比較。最後,我們還開發了一種自我驗證的方法,使我們的
    量測結果更加可信。


    Refractive index being the most representative parameter in the optical
    properties has been well studied. Since each material has its unique refractive
    index observed at different wavelength, we are capable to identify a particular
    material, to check the purity of the substance, etc. In semiconductor industry, it is
    sufficient to resolve the complex refractive index at photon energies ranging from
    20 eV to 120 eV. It is needed due to the requirement of multilayer mirrors and
    optical masks. Therefore, measuring the refractive index in EUV region is vital for
    determining a particular substance in industry, e.g., wafer and thin film.
    There are several approaches for measuring the refractive index, e.g.,
    reflectometry, refractometry, interferometry and ellipsometry. In this thesis, we
    will discuss ellipsometry that is used to measure the refractive index at
    wavelength of approximately 35 nm with a homebuilt EUV polarimeter, then, we
    will compare the result to the result from the database of the prestigious
    institute—CXRO. At last, we have developed a method to verify the result done by
    ourselves which makes our measurement become more reliable.

    Chapter 1 Introduction ·················································· 6 Chapter 2 Literature Review ·················································· 9 2.1 High harmonic generation (HHG) ·················································· 9 2.1.1 High Harmonic Generation source ·················································· 9 2.1.2 Three-Step Model ·················································· 10 2.1.3 Phase Matching ·················································· 13 2.2 Types of Polarization ·················································· 15 2.3 Refractive Index and Dielectric Constant ·················································· 16 2.3.1 Refractive Index in EUV regime ·················································· 16 2.3.2 Relation of Refractive Index and Dielectric Constant ·················································· 18 2.4 Grating Principles and the Grating Equation ·················································· 19 2.5 Spectroscopic Ellipsometry ·················································· 21 2.6 EUV Polarimeter ·················································· 22 Chapter 3 Methodology ·················································· 26 3.1 Polarization-resolved Procedure ·················································· 26 3.1.1 Mueller matrix ·················································· 26 3.1.2 Homebuilt Polarimeter Design ·················································· 27 3.2 Experimental Configurations ·················································· 30 3.2.1 Experimental Setup ·················································· 30 3.2.2 Wavelength Fitting ·················································· 32 3.3 High Harmonic Ellipsometry ·················································· 34 3.3.1 Polarization analysis ·················································· 34 3.3.2 Genetic Algorithm (GA) ·················································· 36 3.4 Stability of Measurement System ·················································· 39 3.4.1 Deviation of 𝜙𝐸𝑈𝑉 ·················································· 39 3.4.2 Noise Immunity of the Retrieval Algorithm ·················································· 40 3.4.3 System Parameters Retrieval ·················································· 41 Chapter 4 Result and Discussion ·················································· 43 4.1 Polarization of Input and Output ·················································· 43 4.2 Result of Refractive Index ·················································· 47 4.2.1 Validation Procedure ·················································· 48 4.2.2 Result of Refractive Index ·················································· 50 Chapter 5 Conclusion and Future works ·················································· 52 Reference ·················································· 55

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