Table-Top Tunable Narrow-Band Xuv Sources

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Table-Top Tunable Narrow-Band Xuv Sources Table-top tunable narrow-band extreme-ultraviolet sources: from low to high-order optical harmonic generation VRIJE UNIVERSITEIT Table-top tunable narrow-band extreme-ultraviolet sources: from low to high-order optical harmonic generation ACADEMISCH PROEFSCHRIFT ter verkrijging van de graad van doctor aan de Vrije Universiteit Amsterdam, op gezag van de rector magnificus prof.dr. T. Sminia, in het openbaar te verdedigen ten overstaan van de promotiecommissie van de faculteit der Exacte Wetenschappen op donderdag 1 juli 2004 om 15.45 uur in het auditorium van de universiteit De Boelelaan 1105 door Fernando Brandi geboren te Pisa, Italie¨ promotor: prof.dr. W.M.G. Ubachs A Roberta, per la pazienza avuta. Contents 1 Introduction 1 1.1 Optical harmonic generation .......................... 1 1.2 Low-order harmonic generation ........................ 3 1.2.1 Perturbative solution .......................... 3 1.2.2 VUV sources for high-resolution spectroscopy ........... 7 1.3 Photoionization mechanisms ......................... 11 1.4 High-order harmonic generation ....................... 13 1.4.1 The semiclassical model ........................ 13 1.4.2 Propagation effects ........................... 14 1.4.3 Generation of tunable coherent XUV radiation ........... 18 I LHG applied to high-resolution VUV spectroscopy 23 2 High-resolution photoionization spectroscopy of xenon 25 2.1 Introduction ................................... 25 2.2 Experiment .................................... 26 2.3 Results and Discussion ............................. 27 2.3.1 Hyperfine Splitting ........................... 27 2.3.2 Isotope Shift ............................... 29 2.3.3 Absolute Calibration .......................... 33 2.4 Conclusions ................................... 35 3 High-resolution photoionization spectroscopy of krypton 37 3.1 Introduction ................................... 37 3.2 Experimental setup and procedure ...................... 39 3.2.1 1VUV+1UV photoionization spectroscopy ............. 39 3.2.2 2UV+1UV photoionization spectroscopy .............. 40 3.3 Experimental results and discussion ..................... 41 3.3.1 Isotope Shift ............................... 41 3.3.2 Absolute frequency calibration .................... 45 3.3.3 ac Stark effect .............................. 47 3.3.4 Consequences for narrow-band XUV/VUV generation ...... 49 3.4 Conclusions ................................... 51 i Contents 3.5 Appendix: new determination of the ionization energy of krypton .... 51 II A novel setup for narrow-band HHG 53 4 Laser system 55 4.1 Introduction ................................... 55 4.2 Laser system ................................... 57 4.2.1 cw-seeder ................................ 57 4.2.2 Pump and compressor ......................... 58 4.2.3 Pulsed-dye-amplifier .......................... 58 4.2.4 Ti:Sapphire amplifier .......................... 61 4.3 Characterization of the laser system ..................... 62 4.3.1 Temporal and frequency characteristics ............... 62 4.3.2 Spatial beam quality .......................... 64 5 Narrow-band high-order harmonic generation 67 5.1 Introduction ................................... 67 5.2 Experiment and results ............................. 69 5.3 Discussion .................................... 71 5.3.1 Absolute frequency of the harmonics ................ 71 5.3.2 Bandwidths of the harmonics ..................... 71 5.3.3 Tunability of the harmonics ...................... 72 5.4 Conclusions ................................... 74 5.5 Appendix: determination of the number of XUV photons ......... 74 6 High-resolution investigation of frequency chirp in HHG 79 6.1 Introduction ................................... 79 6.2 Experimental setup and procedure ...................... 81 6.3 Results and interpretation ........................... 84 6.4 Discussion .................................... 89 6.5 Conclusions and outlook ............................ 91 6.6 Appendix: measurement of the frequency shift in the amplifier chain .. 92 6.6.1 Experimental setup and technique .................. 92 6.6.2 Misalignment effect .......................... 94 Samenvatting 97 Summary 99 ii Contents Riassunto 101 Acknowledgments 103 Publications 105 Bibliography 107 iii Contents iv Chapter 1 Introduction The process of harmonic generation with laser radiation and its use for high-resolution spectroscopy are presented. In specific, low and high-order harmonic generation in gaseous media as a source of coherent radiation in the vacuum-ultraviolet (VUV, 200- 100 nm) and extreme-ultraviolet (XUV, 100-10 nm) are discussed. A description of photoionization mechanisms in intense laser pulses is also given. Spectroscopic appli- cation of low-order harmonic generation and wave-mixing, as well as recent progress and future prospects in the use of high-order harmonic generation for the development of a continuously tunable narrow-band table-top XUV source are presented. 1.1 Optical harmonic generation Optical harmonic generation (OHG) is the prototype process of nonlinear optics, the study of the interaction between intense optical radiation and matter. In the physi- cal process of OHG an intense light field interacting with matter produces radiation at spectral components, called harmonics, with frequencies at integer multiples of the fundamental frequency. Experimental investigations of nonlinear optics have become possible only with the invention of the laser [1] which made available sufficiently in- tense light beams; the first nonlinear optical phenomenon observed has been the gen- eration of second harmonics in a crystal in 1961 [2]. Low-order harmonic generation (LHG), q ≤ 5, is a nonlinear optical process that can be fully explained with a perturbative solution of Maxwell’s equations. At light intensities needed to trigger LHG process, typically in the range 109 − 1012 W/cm2, the optical response of a medium is determined by the dipole moment per unit vol- ume, or polarization, which can be expressed as a power series in the electric field associated with an intense light beam. Harmonic radiation is produced with an effi- ciency that rapidly decreases with the harmonic order, as is schematically shown in Figure 1.1(a). Note that in an isotropic medium, e.g., gases, for symmetry reasons only odd harmonics are produced. In most practical cases LHG is used to produce coherent electromagnetic radiation at those short wavelengths where laser radiation is not available, at least not in tunable or narrow-band form. A key prerequisite for efficient frequency conversion is the availability of a nonlinear material transparent at both the fundamental and the harmonic frequency. Crystals are routinely used to up-convert near-infrared and visible laser radiation, generating radiation down to the deep ultraviolet, with efficiencies up to 50%. However, generation of short wavelength 1 Chapter 1 (a) (b) Cut-off = E + 3Up Fast decrease Plateau Only odd harmonics Harmonic yield, arb. units Harmonic yield, arb. units 1 3 5 7 9 Harmonic order Harmonic order Figure 1.1. Schematic presentation of the typical spectra from low (a) and high (b) order har- monic generation in gases. harmonics in crystals is not possible due to the lack of transparent materials below 200 nm. Thus, the production of vacuum-ultraviolet (200-100 nm) and extreme-ultraviolet (100-10 nm) harmonic radiation is feasible only in gaseous media, but at much lower efficiency, typically 10−4 − 10−7. The development in the last two decades of high-power ps and fs pulsed lasers, has brought the discovery of new features in optical harmonic generation. Notably, it has been found that at very high field intensity, I ≥ 1013 W/cm2, a plateau in the harmonic generation efficiency is reached, as is schematically shown in Figure 1.1(b). At such high intensities the atoms are ionized by the laser pulse and perturbation theory is no longer valid. Harmonic generation in the high field regime can be understood in terms of a semiclassical approach, the so-called three-step model: first the atom is ionized by the intense laser field, then the free electron accelerates in the laser field and finally it recombines with the parent ion. This model predicts a cutoff at a photon energy of about E + 3Up, where E is the ionization energy of the atom and Up is the ponderomotive energy of an electron in the intense laser field. This nonlinear optical process, called high-order harmonic generation (HHG), has an efficiency that is orders of magnitude lower then LHG, typically 10−8 − 10−11 [3]. However, efficiencies on the order of 10−6 − 10−7 can be obtained if special interaction geometries are used, e.g., gas filled hollow fibers [4] or valves with a slit opening [5]. Nowadays, HHG has become a leading research field in nonlinear optics as a way to produce coherent soft- X-rays and attosecond pulses. Generation of radiation in the water window [6] and of sub-femtosecond pulses [7] has already been demonstrated. In the following Sections OHG in gases for the generation of tunable narrow-band XUV coherent radiation is described. In Section 1.2 the basic perturbation theory of LHG in gases is presented and applications of the generated VUV radiation in high- resolution spectroscopy is discussed. In Section 1.3 the onset of the photoionization mechanism of an atom in an intense laser field is presented. Finally, in Section 1.4 a semi-classical model for HHG in gases is presented, and the use of high-order harmon- ics in spectroscopic applications discussed. 2 Introduction 1.2 Low-order
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