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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 物理學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45781
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor朱時宜(Shih-I Chu)
dc.contributor.authorJhih-An Youen
dc.contributor.author游至安zh_TW
dc.date.accessioned2021-06-15T04:46:02Z-
dc.date.available2011-08-06
dc.date.copyright2010-08-06
dc.date.issued2010
dc.date.submitted2010-08-05
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45781-
dc.description.abstract本文提出了新的數值方法,用無自我交互作用的時變孔恩-沈方程
式來處理非微擾的多光子游離、超閾值電離。因為在此我們不需要處
理離核很遠處的波函數的時間演化,所以這個方法不但精確也很省
時。這方法是建立在將波函數從實驗室座標轉換到
Kramers-Henneberger 框架上,我們把這方法應用到惰性氣體的超閾值
電離。在此我們計算電子的能譜跟其角度分布,結果顯示了電子頻譜
與雷射強度、頻率、載波包相位的相依性,並跟實驗作比較。
zh_TW
dc.description.abstractWe present a new method for the the numerical solution of the self-interaction-free
time-dependent Kohn-Sham equation for the nonperturbative treatment of multiphoton
ionization (MPI), above-threshold ionization (ATI), and electron energy and angular
distribution after ATI. The method is accurate and efficient because we don’t need to
perform the propagation of the time-dependent wave function to the large distance.
The procedure is based on the extension of the Kramers-Henneberger picture of the
ionization process while the initial expressions involve the wave function in the laboratory
frame only. This approach is applied to the accurate study of ATI processes of the
rare gas atoms subject to intense laser pulse. We calculate and discuss ejected electron
energy and angular distributions. The results reveal the electron spectrum dependence
on the duration of the laser pulse and the carrier-envelope phase.
en
dc.description.provenanceMade available in DSpace on 2021-06-15T04:46:02Z (GMT). No. of bitstreams: 1
ntu-99-R96222060-1.pdf: 10136662 bytes, checksum: e12acfd793c196d85d5f0ae40fb8a0d1 (MD5)
Previous issue date: 2010
en
dc.description.tableofcontents1 Introduction 1
2 Above-Threshold Ionization and High-order Harmonic Generation 4
2.1 Some histories of ATI and HHG . . . . . . . . . . . . . . . . . . . . . . 4
2.2 Semiclassical modeling of strong field-matter interaction . . . . . . . . 8
2.2.1 Conclusion of Semiclassical Model . . . . . . . . . . . . . . . . . 13
3 Generalized Pseudospectral Time-dependent Method 14
3.1 Spectral Approximation . . . . . . . . . . . . . . . . . . . . . . . . . . 14
3.2 Generalized Pseudospectral for TDSE . . . . . . . . . . . . . . . . . . . 17
3.3 HHG Calculation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
4 Density Functional Theory 23
4.1 Hohenberg-Kohn theorem . . . . . . . . . . . . . . . . . . . . . . . . . 23
4.2 The Effective One-Particle Theory: Kohn-Sham Equation . . . . . . . . 26
4.2.1 Hartree-Fock and Exchange-Correlation Energy . . . . . . . . . 26
4.2.2 Kohn-Sham Equation . . . . . . . . . . . . . . . . . . . . . . . . 27
4.3 Self-Interaction Correction . . . . . . . . . . . . . . . . . . . . . . . . . 29
4.4 Optimized Effective Potential (OEP) and KLI-SIC Method . . . . . . . 30
4.5 Time-Dependent Density Functional Theory . . . . . . . . . . . . . . . 32
4.5.1 Runge-Gross theorem . . . . . . . . . . . . . . . . . . . . . . . . 33
4.5.2 Time-dependent OEP formulation . . . . . . . . . . . . . . . . . 34
5 Theory of Electron Spectra of ATI 37
5.1 General Formalism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
5.2 Krammers-Henneberger Frame . . . . . . . . . . . . . . . . . . . . . . . 38
5.3 Specific Expression of the Coulumb interaction with the core . . . . . . 42
5.4 Specific Expressions with KS equation . . . . . . . . . . . . . . . . . . 44
6 Results and Discussions 46
6.1 ATI of Atomic hydrogen . . . . . . . . . . . . . . . . . . . . . . . . . . 46
6.2 ATI of Atomic Helium . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
7 Conclusion 56
A Exterior Complex Scaling 57
A.1 The Origins of Complex Scaling and Exterior Complex Scaling . . . . . 57
A.2 Scattering Amplitude . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
A.3 Exterior Complex Scaling for Scattering State . . . . . . . . . . . . . . 60
A.4 Continuun State wavefunctions for atoms . . . . . . . . . . . . . . . . . 61
Bibliography 62
dc.language.isoen
dc.title強場雷射中原子的超閾值電離譜:近核區域波包的第一原理計算zh_TW
dc.titleAbove-Threshold Ionization Spectra of Rare Gases
Atoms in Intense Laser Pulses: the Ab-initio Approach from Core Region of Wave Packet
en
dc.typeThesis
dc.date.schoolyear98-2
dc.description.degree碩士
dc.contributor.oralexamcommittee蔡政達,黃克寧
dc.subject.keyword多光子游離,閾值電離,密度泛函理論,擬譜方法,載波包相位,zh_TW
dc.subject.keywordmultiphoton ionization,above-threshold Ionization,density functional theory,pseudospectral spectral method,carrier-envelope phase,en
dc.relation.page71
dc.rights.note有償授權
dc.date.accepted2010-08-06
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept物理研究所zh_TW
顯示於系所單位:物理學系

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