緊聚焦下的高次協波之相位匹配｜國立清華大學博碩士論文庫

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研究生：	孫宏維 Sun, Hung-Wei
論文名稱：	緊聚焦下的高次協波之相位匹配 Phase Matching of High Harmonic Generation in Tight Focusing Geometry
指導教授：	陳明彰 Chen, Ming-Chang
口試委員:	朱旭新 Chu, Hsu-Hsin 羅志偉 Luo, Chih-Wei
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：	2017
畢業學年度：	105
語文別：	英文
論文頁數：	62
中文關鍵詞：	同調極紫外光、高次協波、相位匹配
外文關鍵詞：	EUV, HHG, Phase matching
相關次數：	點閱：2 下載：0
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透過強烈的非線性效應,高次協波產生能提供飛秒甚至埃秒的極紫外光或軟X射線的同調光源。然而，在這個過程中，雷射產生的自由電子不僅會影響基頻雷射的相位還會產生自發散效應，進而限制高次協波產生的光子能量僅存在相對小的協波基數。在這篇論文中，我們成功的利用短聚焦的方式延展高次協波的截止能量。我們觀察到400倍量的65電子伏特的協波在0.8毫米的氬氣氣體管中。除此之外，我們可以利用光圈去調控高次協波頻譜的中心位置。透過數值計算，我們發現這個僅聚焦下的相位匹配主要是透過利用高次協波的內在相位。這個高強度的60電子伏特的光源可以被用於許多磁性材料或是材料選擇性的超快動態實驗。

High order harmonic generation (HHG) is a unique and extreme nonlinear effect, providing coherent radiation in EUV or soft X-ray region with femto-to-attosecond duration. However, the laser-induced free electrons will induce not only the dephasing effect but also the spatial defocusing, limiting observable photon energy of HHG in low energy harmonics only. In this thesis, we realized an extension of HHG cutoff in a tight focusing geometry. A 400-fold enhancement of 65 eV harmonics in argon-filled gas cell is observed in a 0.8 mm gas cell. Furthermore, by using an iris to truncate the laser beam, the central photon energy of harmonic spectrum can be selected. We demonstrated a wide tunability of harmonics from ≈ 35 to ≈70 eV in a 1.2 mm gas cell. Based on our numerical calculations, this phase matching process in tight focusing geometry is assisted by the wavevector mismatch from the intrinsic phase. This new phase matching technique provides an opportunity to extend the phase matching cutoff. Such bright, coherent light source around 60 eV can be applied for coherent image and experiments of ultrafast, element selective dynamic.

摘要    i
Abstract    ii
Acknowledgements    iii
Tables    vi
Figures    vii
Chapter 1.    Introduction    1
Chapter 2.    Microscopic Picture of High-Order Harmonic Generation    6
2.1.    Ionization    6
2.2.    Ammosov-Delone-Krainov (ADK) model    9
2.3.    Electron Wave-Packet in Intense Laser Field    10
2.4.    Semi-Classical Approximation of HHG    12
2.5.    Recombination with Mother Ion    15
2.6.    Atomic Phase of HHG    15
2.7.    Summary    17
Chapter 3.    Macroscopic Effects of High-Order Harmonic Generation    18
3.1.    Wavevector Mismatch from Neutral Atoms (∆kneutral)    20
3.2.    Wavevector Mismatch from Laser Induced Plasma (∆kplasma)    21
3.3.    Wavevector Mismatch from Free Focusing Geometry (∆kGouy)    22
3.4.    Wavevector Mismatch from Intrinsic Phase (∆kint.)    23
3.5.    Phase Matching Cutoff (Type I)    26
3.6.    Maximum Observable Photon Energy in Tightly Focusing Geometry    28
3.7.    Phase Matching Assisted by Plasma-Induced Defocusing    31
3.8.    Absorption from Medium    34
3.9.    Summary    35
Chapter 4.    Experimental Results    37
4.1.    Experimental Setup    37
4.2.    HHG Spectrum Selection by Truncated Beam    39
4.3.    Pressure Dependence of Harmonics Emission    44
4.4.    Do Input Energy Alter Phase Matching Cutoff?    46
4.5.    Summary    48
Chapter 5.    Discussion    50
5.1.    Time-Frequency Diagram Analysis of High Harmonic Radiation    50
5.2.    Harmonic Emission as a Function of Propagation Distance    52
5.3.    Analytic Calculation for the Type II phase matching    53
5.4.    Summary    55
Chapter 6.    Conclusion    57
Bibliography    58


                                

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