La génération d'harmoniques d'ordre élevé (HHG) est un processus non linéaire extrême qui peut être compris intuitivement par la séquence de trois étapes: i) ionisation tunnel de la cible atome/ molécule et création d'un paquet d'ondes électronique (EWP) dans le continuum, ii) accélération de l'EWP par le champ laser intense et iii) recombinaison avec le cœur ionique et émission d’une impulsion attoseconde de lumière cohérente dans l’extrême UV (XUV). La HHG fournit ainsi une source ultracourte accordable dans l’XUV/ rayons X mous à l'échelle de temps attoseconde pour les applications (schéma «direct»). Dans le même temps, elle encode de manière cohérente dans le rayonnement XUV émis la structure et la dynamique de réarrangement de charge des atomes/molécules qui rayonnent (schéma «auto-sonde» ou Spectroscopie d'harmoniques d'ordre élevé). Cette thèse est consacrée à ces deux schémas d'application en attophysique basés sur une caractérisation et un contrôle avancés de l'émission attoseconde. Dans ce qu'on appelle le schème "auto-sonde", la dernière étape de la HHG, la recombinaison électron-ion peut être considérée comme un procédé de sonde et l'émission peut coder des informations fructueuses sur le système se recombinant, telles que la structure moléculaire et la dynamique. Dans la première partie, nous avons effectué la spectroscopie harmonique de molécules N₂O et CO₂ qui sont alignées par rapport à la polarisation du laser générateur. Nous avons implémenté deux méthodes basées respectivement sur l'interférométrie optique et quantique afin de caractériser l'amplitude et la phase de l'émission attoseconde en fonction à la fois de l'énergie des photons et de l'angle d'alignement. Nous avons découvert de nouveaux effets dans la génération d'harmoniques qui ne peuvent pas être expliqués par la structure de l'orbitale moléculaire la plus haute occupée (HOMO). Au lieu de cela, nous avons trouvé que pendant l'interaction avec le champ laser, deux états électroniques sont excitées de manière cohérente dans l'ion moléculaire, formant un paquet d'ondes de «trou» se déplaçant à une échelle de temps attoseconde dans la molécule après l’ionisation tunnel. Nous nous sommes concentrés sur l'exploration de ce mouvement électronique cohérent à l'intérieur de la molécule, et comparé les mesures de N₂O et CO₂. La différence frappante dans la phase harmonique nous a conduits à l'élaboration d'un modèle multi-canal permettant l'extraction de l’amplitude et de la phase relative des deux canaux impliqués dans l'émission. Un déphasage inattendu de pi/4 entre les deux canaux est obtenu. En outre, nous avons étudié le profil des impulsions attosecondes émises par ces deux molécules, et nous avons proposé un moyen simple mais flexible pour la réalisation de la mise en forme d’impulsions attosecondes. Dans la deuxième partie, la spectroscopie harmonique a été étendue à d'autres systèmes moléculaires, y compris certaines molécules relativement complexes, par exemple, SF₆ et petits hydrocarbures (méthane, éthane, éthylène, acétylène). Elle a révélé de nombreux résultats intéressants tels que des distorsions de phase observées pour la première fois. Dans le schéma «direct», nous avons photoionisé des atomes de gaz rares en utilisant des impulsions attosecondes bien caractérisées combinées avec un laser infrarouge d’habillage avec un délai contrôlé, stabilisé à environ ± 60 as. Nous avons mesuré des différences marquées dans les distributions angulaires des photoélectrons, en fonction du nombre de photons IR échangés. Jointes à notre interprétation théorique, ces observations apportent de nouvelles connaissances sur la dynamique de cette classe de processus de photo-ionisation multi-couleurs qui sont une étape clé vers l'étude de la photo-ionisation dans le domaine temporel avec une résolution attoseconde. / High-order Harmonic Generation (HHG) is an extreme nonlinear process that can be intuitively understood as the sequence of 3 steps: i) tunnel ionization of the target atom/molecule, creating an electronic wave packet (EWP) in the continuum, ii) acceleration of the EWP by the strong laser field and iii) recombination to the core with emission of an attosecond burst of XUV coherent light. HHG thus provides a tunable ultrashort tabletop source of XUV/Soft X-ray radiation on attosecond time scale for applications (‘direct’ scheme). At the same time, it encodes coherently in the XUV radiation the structure and dynamical charge rearrangement of the radiating atoms/molecules (‘self-probing’ scheme or High Harmonic Spectroscopy). This thesis is dedicated to both application schemes in attophysics based on advanced characterization and control of the attosecond emission. In the so-called ‘self-probing’ scheme, the last step of HHG, the electron-ion re-collision can be considered as a probe process and the emission may encode fruitful information on the recombining system, including molecular structure and dynamics. In the first part, we performed high harmonic spectroscopy of N₂O and CO₂ molecules that are (laser-)aligned with respect to the polarization of the driving laser. We implemented two methods based on optical and quantum interferometry respectively in order to characterize the amplitude and phase of the attosecond emission as a function of both photon energy and alignment angle. We discovered new effects in the high harmonic generation, which could not be explained by the structure of the highest occupied molecular orbital (HOMO). Instead, we found that during the interaction with the laser field, two electronic states are coherently excited in the molecular ion and form a hole wave packet moving on an attosecond timescale in the molecule after tunnel ionization. We focused on exploring this coherent electronic motion inside the molecule, and compared the measurements in N₂O and CO₂. The striking difference in the harmonic phase behavior led us to the development of a multi-channel model allowing the extraction of the relative weight and phase of the two channels involved in the emission. An unexpected pi/4 phase shift between the two channels is obtained. Moreover, we studied the attosecond profile of the pulses emitted by these two molecules, and we proposed a simple but flexible way for performing attosecond pulse shaping. In the second part, high harmonic spectroscopy was extended to other molecular systems, including some relatively complex molecules, e.g., SF₆ and small hydrocarbons (methane, ethane, ethylene, acetylene). It revealed many interesting results such as phase distortions not previously reported. For the ‘direct’ scheme, we photoionized rare gas atoms using well characterized attosecond pulses of XUV coherent radiation combined with an infrared (IR) laser ”dressing” field with controlled time delay, stabilized down to about ± 60 as. We evidenced marked differences in the measured angular distributions of the photoelectrons, depending on the number of IR photons exchanged. Joined to a theoretical interpretation, these observations bring new insights into the dynamics of this class of multi-color photoionization processes that are a key step towards studying photoionization in the time domain, with attosecond time resolution.

Das Ionisierungsverhalten kleiner Moleküle (insbesondere H2 und NH3) in intensiven, ultrakurzen Laserfeldern wird theoretisch untersucht. Das Hauptaugenmerk liegt dabei auf dem Einfluss der Kerndynamik. Zunächst wird das Ionisierungsverhalten des H2-Moleküls bei eingefrorener Kernschwingung untersucht. Bereits im Rahmen dieser Näherung kann im Mehrphotonenregime ein zuvor beobachteter Zusammenbruch der Näherung im Gleichgewichtsabstand festgehaltener Kerne erklärt werden. Weiterhin wird der Übergang vom Mehrphotonen zum quasistatischen Ionisierungsregime für 800-nm-Laserfelder untersucht. Eine neuartige Methode zur Beschreibung der korrelierten Schwingungs- und Elektronendynamik des H2-Moleküls (7D) wird entwickelt. Mit dieser Methode wird schließlich der Einfluss der Kernbewegung während des Laserfeldes auf das Ionisierungsverhalten untersucht. Es wird ein sichtbarer Einfluss auf den zuvor diskutierten Zusammenbruch der Näherung festgehaltener Kerne beobachtet. Dies gilt ebenfalls für einen vor kurzem experimentell beobachteten Isotopeneffekt in der Ionisierung der Moleküle H2 vs. D2 untersucht. Im zweiten Teil der Arbeit wird das Ionisierungsverhalten des NH3-Moleküls untersucht. Die Möglichkeit, die Kerngeometrieabhängigkeit zur Erzeugung und Messung von Schwingungswellenpaketen im neutralen NH3-Molekül mittels Lochfraß auszunutzen, wird untersucht. Das erwartete Schwingungsverhalten und die dafür optimalen Laserparameter werden aufgezeigt. Zusätzlich wird die Möglichkeit des Filmens eines tunnelnden Kernwellenpakets im Doppelmuldenpotential entlang der Schwingungskoordinate untersucht. In der Tat sollte die Verwendung extrem kurzer Laserfelder das Drehen eines Echtzeit-Filmes dieses quantenmechanischen Tunnelprozesses ermöglichen. Abschließend werden die Winkelabhängigkeit der Ionisierungswahrscheinlichkeit von NH3 (ähnelt Orbitalgeometrie) sowie elliptisch polarisierte Laserfelder untersucht. / The ionization behavior of small molecules (especially H2 and NH3) exposed to intense, ultrashort laser fields is investigated theoretically. The focus lies on the influence of nuclear dynamics on this ionization behavior. The ionization behavior of the H2 molecule is first examined within the frozen-nuclei approximation. A previously reported pronounced breakdown of the fixed-nuclei approximation can be explained already within this level of approximation. Furthermore, the transition from the multiphoton to the quasistatic ionization regime is studied for 800 nm laser pulses. A novel approach for the correlated description of the electronic-vibrational motion of the H2 molecule (7D) is developed. The influence of vibrational dynamics during the laser field on the ionization behavior is investigated using this method. A pronounced difference on the previously discussed breakdown of the fixed-nuclei approximation is observed. The vibrational dynamics also lead to a notable change for a recently experimentally observed isotope effect in the ionization of the molecular isotopes H2 vs. D2. The ionization behavior of the NH3 molecule is studied in the second part of this thesis. The possibility to exploit the geometry dependence of the ionization yield in order to create and measure vibrational wave packets in the neutral NH3 molecule via Lochfraß is explored. The expected vibrational dynamics and the optimal laser parameters to observe this effect are demonstrated. Furthermore, the possibility to shoot a "movie" of a tunneling wave packet in the double-well potential along the vibrational coordinate is investigated. Indeed, extremely short laser fields should allow creating a real-time movie of the quantum-mechanical tunneling process. Finally, the orientation dependence of the ionization yield of the NH3 molecule (reflecting the orbital shape) and elliptically polarized laser fields are studied.

Dominated by Heisenberg's uncertainty principle, vacuum is not quantum mechanically an empty void, i.e. virtual pairs of particles appear and disappear persistently. This nonlinearity subsequently provokes a number of phenomena which can only be practically observed by going to a high-intensity regime. Pair production beyond the so-called Sauter-Schwinger limit, which is roughly the field intensity threshold for pairs to show up copiously, is such a nonlinear vacuum phenomenon. From the viewpoint of Dirac's front form of Hamiltonian dynamics, however, vacuum turns out to be trivial. This triviality would suggest that Schwinger pair production is not possible. Of course, this is only up to zero modes. While the instant form of relativistic dynamics has already been at least theoretically well-played out, the way is still open for investigating the front form. The aim of this thesis is to explore the properties of such a contradictory aspect of quantum vacuum in two different forms of relativistic dynamics and hence to investigate the possibility of finding a way to resolve this ambiguity. This exercise is largely based on the application of field quantization to light-front dynamics. In this regard, some concepts within strong field theory and light-front quantization which are fundamental to our survey have been introduced, the order of magnitude of a few important quantum electrodynamical quantities have been fixed and the basic information on a small number of nonlinear vacuum phenomena has been identified. Light-front quantization of simple bosonic and fermionic systems, in particular, the light-front quantization of a fermion in a background electromagnetic field in (1+1) dimensions is given. The light-front vacuum appears to be trivial also in this particular case. Amongst all suggested methods to resolve the aforementioned ambiguity, the discrete light-cone quantization (DLCQ) method is applied to the Dirac equation in (1+1) dimensions. Furthermore, the Tomaras-Tsamis-Woodard (TTW) solution, which expresses a method to resolve the zero-mode issue, is also revisited. Finally, the path integral formulation of quantum mechanics is discussed and, as an alternative to TTW solution, it is proposed that the worldline approach in the light-front framework may shed light on different aspects of the TTW solution and give a clearer picture of the light-front vacuum and the pair production phenomenon on the light-front.

High-order Harmonic Generation (HHG) is an extreme nonlinear process that can be intuitively understood as the sequence of 3 steps: i) tunnel ionization of the target atom/molecule, creating an electronic wave packet (EWP) in the continuum, ii) acceleration of the EWP by the strong laser field and iii) recombination to the core with emission of an attosecond burst of XUV coherent light. HHG thus provides a tunable ultrashort tabletop source of XUV/Soft X-ray radiation on attosecond time scale for applications ('direct' scheme). At the same time, it encodes coherently in the XUV radiation the structure and dynamical charge rearrangement of the radiating atoms/molecules ('self-probing' scheme or High Harmonic Spectroscopy). This thesis is dedicated to both application schemes in attophysics based on advanced characterization and control of the attosecond emission. In the so-called 'self-probing' scheme, the last step of HHG, the electron-ion re-collision can be considered as a probe process and the emission may encode fruitful information on the recombining system, including molecular structure and dynamics. In the first part, we performed high harmonic spectroscopy of N₂O and CO₂ molecules that are (laser-)aligned with respect to the polarization of the driving laser. We implemented two methods based on optical and quantum interferometry respectively in order to characterize the amplitude and phase of the attosecond emission as a function of both photon energy and alignment angle. We discovered new effects in the high harmonic generation, which could not be explained by the structure of the highest occupied molecular orbital (HOMO). Instead, we found that during the interaction with the laser field, two electronic states are coherently excited in the molecular ion and form a hole wave packet moving on an attosecond timescale in the molecule after tunnel ionization. We focused on exploring this coherent electronic motion inside the molecule, and compared the measurements in N₂O and CO₂. The striking difference in the harmonic phase behavior led us to the development of a multi-channel model allowing the extraction of the relative weight and phase of the two channels involved in the emission. An unexpected pi/4 phase shift between the two channels is obtained. Moreover, we studied the attosecond profile of the pulses emitted by these two molecules, and we proposed a simple but flexible way for performing attosecond pulse shaping. In the second part, high harmonic spectroscopy was extended to other molecular systems, including some relatively complex molecules, e.g., SF₆ and small hydrocarbons (methane, ethane, ethylene, acetylene). It revealed many interesting results such as phase distortions not previously reported. For the 'direct' scheme, we photoionized rare gas atoms using well characterized attosecond pulses of XUV coherent radiation combined with an infrared (IR) laser "dressing" field with controlled time delay, stabilized down to about ± 60 as. We evidenced marked differences in the measured angular distributions of the photoelectrons, depending on the number of IR photons exchanged. Joined to a theoretical interpretation, these observations bring new insights into the dynamics of this class of multi-color photoionization processes that are a key step towards studying photoionization in the time domain, with attosecond time resolution.

The purpose of this thesis is to advance the understanding of strong-field QED processes in short laser pulses. The processes of non-linear one-photon and two-photon Compton scattering are studied, that is the scattering of photons in the interaction of relativistic electrons with ultra-short high-intensity laser pulses. These investigations are done in view of the present and next generation of ultra-high intensity optical lasers which are supposed to achieve unprecedented intensities of the order of 10^24 W/cm^2 and beyond, with pulse lengths in the order of some femtoseconds. The ultra-high laser intensity requires a non-perturbative description of the interaction of charged particles with the laser field to allow for multi-photon interactions, which is beyond the usual perturbative expansion of QED organized in powers of the fine structure constant. This is achieved in strong-field QED by employing the Furry picture and non-perturbative solutions of the Dirac equation in the presence of a background laser field as initial and final state wave functions, as well as the laser dressed Dirac-Volkov propagator. The primary objective is a realistic description of scattering processes with regard to the finite laser pulse duration beyond the common approximation of infinite plane waves, which is made necessary by the ultra-short pulse length of modern high-intensity lasers. Non-linear finite size effects are identified, which are a result of the interplay between the ultra-high intensity and the ultra-short pulse length. In particular, the frequency spectra and azimuthal photon emission spectra are studied emphasizing the differences between pulsed and infinite laser fields. The proper description of the finite temporal duration of the laser pulse leads to a regularization of unphysical infinities (due to the infinite plane-wave description) of the laser-dressed Dirac-Volkov propagator and in the second-order strong-field process of two-photon Compton scattering. An enhancement of the two-photon process is found in strong laser pulses as compared to the corresponding weak-field process in perturbative QED.

Theoretical and experimental studies on intense laser atom interaction have drawn many interests over the past few decades. In this thesis, we consider strong-field tunnel ionization to explore two different problems dealing with the ionized-electron dynamics in the presence of an infrared, high-intensity, elliptically-polarized laser pulse. In the first part, we discover the electron dynamics from a static potential, this describes the complicated field-driven dynamics by a simple time-independent problem. In the second part, we set up an analytical expression for the attoclock offset angle. We use the time-dependent Kramers-Henneberger (KH) potential, and show how some approximations within the KH potential lead to the static potential and the analytical offset angle. We elucidate good agreement of our theory with the numerical results obtained from classical equations of motion. Finally, the comparison with the available experimental data has led to an interestingly new tunnel exit-radius different from the conventional models.

Durch fortschreitende Entwicklung im Bereich der Starkfeldphysik und der Lasertechnologie in den letzten Jahrzehnten kann die Dynamik von Elektronen induziert durch Laserpulse verschiedener Wellenlängen, komplexen Polarisationseigenschaften, ultrakurzer Dauer und großer Intensität in hohem Umfang kontrolliert und ausgenutzt werden. In dieser Arbeit werden maßgeschneiderte Laserpulse angewendet, um verschiedene Aspekte der atomaren Licht-Materie-Wechselwirkung im Starkfeldbereich zu untersuchen. Im ersten Teil der Arbeit wird insbesondere die Erzeugung von hohen Harmonischen erforscht, die durch zirkular polarisierte Laserfelder erzeugt werden, wobei das maßgeschneiderte Feld aus einem zirkular polarisierten Infrarotpuls und seiner zweiten Harmonischen mit entgegengesetzter zirkularer Polarisation besteht. Die Polarisation von zirkularen hohen Harmonischen wird mittels spektral aufgelöster Polarimetrie unter Verwendung eines selbst entwickelten Polarimeters gemessen und ein Verfahren vorgestellt, mit dem der Stokes-Vektor der hoch zirkular polarisierten Harmonischen vollständig rekonstruiert werden kann. Darüber hinaus wird zum ersten Mal gezeigt, dass das bizirkulare Schema auch auf erzeugende Laserpulse weniger Zyklen erweiterbar ist. Der zweite Teil der Arbeit konzentriert sich auf die Starkfeldanregung eines Atoms durch einen intensiven Laserpuls. Da die ponderomotorische Verschiebung eines ausreichend intensiven Laserpulses eine resonante Anregung eines durch den Stark-Effekt verschobenen Atomzustands sowohl an der Vorder- als auch an der Rückflanke des Pulses bewirkt, diktiert die fundamentale Quantenmechanik, dass die an diesen Instanzen angeregten Elektronenwellenpakete interferieren müssen. Durch Variation der Verzögerung zwischen den Instanzen kann ein Interferenzmuster beobachtet werden, das als Stückelberg-Oszillationen bekannt ist und wertvolle Informationen über die Ionisierungsrate stark angeregter atomarer Zustände enthält. / As our fundamental understanding of strong-field physics and laser technology have matured in the last few decades, we are able to control and exploit electron dynamics using laser pulses of multiple colors, complex polarization properties, ultrashort duration and high intensity. This thesis makes use of such tailored laser fields to study different aspects of atomic light-matter interaction within the strong-field regime. Particularly, the first part of the thesis explores high-harmonic generation driven by circularly polarized driving fields, where the tailored field is composed of a circularly polarized infrared pulse and its second harmonic with opposite circular polarization, often denoted as 'bicircular' driving field. We measure the polarization of bicircularly generated harmonics by means of spectrally resolved polarimetry using a self-developed polarimeter and present a scheme, which allows to fully reconstruct the Stokes vector of the highly circularly polarized harmonics. We further demonstrate for the first time, that the bicircular scheme is also applicable within the regime of few-cycle driving pulses. Applying driving fields containing only a few carrier oscillations, we present the generation of a broadband harmonic spectrum with highly elliptically polarized spectral content, supporting the generation of an isolated attosecond pulse. The second part of the thesis focuses on strong-field excitation of an atom by an intense laser pulse. When the ponderomotive shift of a sufficiently intense laser pulse induces resonant excitation of a Stark-shifted atomic state at both the leading and trailing edge of the pulse, fundamental quantum mechanics dictates that the electron wave packets excited at these instances must interfere. By varying the delay between the instances, we observe the interference pattern known as Stückelberg oscillations which holds valuable information about the ionization rate of strongly driven atomic states.

In den letzten Jahrzehnten haben Tischlaserquellen eine bemerkenswerte Entwicklung durchlaufen. Sie sind nun in der Lage, maßgeschneiderte ultrakurze Mehrfarben-Laserpulse zu erzeugen, die es ermöglichen, die elektronische Dynamik in Materialien auf ihrer natürlichen Zeitskala von Attosekunden zu untersuchen. In dieser Arbeit werden verschiedene Kombinationen von elektrischen Feldern genutzt, von extrem-ultravioletten (XUV) bis nahinfraroten Wellenlängen, um komplexe Elektronendynamiken in Atomen und chiralen Medien zu erforschen, zu rekonstruieren und zu kontrollieren. Dabei werden grundlegende Konzepte der Licht-Materie-Wechselwirkung eingeführt, einschließlich starker Feldprozesse, die im Kern der Attosekundenspektroskopie liegen. Ein Schwerpunkt liegt auf der Nutzung eines XUV-Pulses in Kombination mit einem nahinfraroten Puls, um den Bevölkerungstransfer zu hohen Drehimpulszuständen in Heliumatomen zu untersuchen. Durch Manipulation der Laserparameter wird die Rolle des AC Stark-Effekts von gebundenen Zuständen in der beobachteten Dynamik identifiziert. Weitere Untersuchungen umfassen die Verwendung eines bicirculären elektrischen Feldes zur Induktion von HHG in Argon, wobei Anzeichen einer starken Feldfangung von Elektronen in angeregten Zuständen im HHG-Spektrum entdeckt werden. Die Arbeit zeigt die entscheidende Rolle angeregter Zustände in der HHG auf. Zusätzlich wird die Anwendung synthetischer chiraler Felder erforscht, um Chiralität auf achirale Objekte wie Atome zu übertragen, und es wird eine Verbindung zwischen synthetischen chiralen Feldern und strukturiertem Licht hergestellt. / In recent decades table-top laser sources have undergone remarkable development and are now capable of generating tailored ultrashort multicolor laser pulses, enabling the study of electronic dynamics in materials on their natural timescale of the attoseconds. In this thesis work various combinations of electric fields spanning from extreme-ultraviolet (XUV) to near-infrared wavelengths are used to investigate, reconstruct and control complex electron dynamics in atoms and chiral media. The initial chapter of this thesis introduces the fundamental concepts underlying light-matter interaction, including strong field processes which lie at the core of attosecond spectroscopy. The second chapter focuses on the utilization of an XUV pulse combined with a near-infrared pulse to study population transfer to high angular momentum states in helium atoms. By manipulating laser parameters, the study identifies the significant role played by the AC Stark shift of bound states in the observed dynamics. In the third chapter a bicircular electric field is employed to induce HHG in argon. Changing the timedelay between the two frequencies, indications of strong field trapping of electrons in excited states are uncovered within the HHG spectrum, confirming the existence of long-lived trajectories lasting multiple optical cycles. The study conclusively demonstrates the crucial role of excited states in HHG. The fourth chapter explores the application of synthetic chiral fields—whose polarization traces a chiral curve over the optical cycle—to imprint chirality on achiral objects such as atoms, both in the low- and strong-field regime. Moreover, the thesis establishes a connection between synthetic chiral fields and structured light, introducing chiral vortex beams with azimuthally varying handedness.

Die Entwicklung Freier-Elektronen-Laser und einer neuen Generation von Strahlungsquellen erlaubt die Realisierung hoher Intensitäten und kurzer Pulsdauern. Im Regime niedriger Laserintensitäten war bisher die Dipolnäherung recht erfolgreich bei der Beschreibung der durch die Licht-Materie-Wechselwirkung erzeugten Dynamik, wodurch viele experimentell beobachtete Resultate reproduziert werden konnten. Bei den durch die neuen Strahlungsqullen erzeugten bisher unerreichten Intensitäten und Rönten-Wellenlängen kann die Dipolnäherung allerdings zusammenbrechen. Höhere Multipol-Wechselwirkungen, die mit dem Strahlungsdruck assoziiert werden, sollten dann erwartungsgemäß wichtig zur genauen Beschreibung der Wechselwirkungsdynamiken werden. In dieser Arbeit wird eine Methode zur Lösung der nichtrelativistischen zeitabhängigen Schrödingergleichung zur Beschreibung von Systemen mit einem einzelnen aktiven Elektron, das mit einem Laserfeld wechselwirkt, über die Dipolnäherung hinausgehend erweitert. Dabei wird sowohl die Taylor- als auch die Rayleight-Multipolentwicklung des Retardierungsterms ebener Wellen verwendet. Es wird erwartet, dass die Berücksichtigung höherer Ordnungen der Multipolwechselwirkung zu einer erhöhten Genauigkeit und Richtigkeit der Resultate führen. Weiterhin wird gezeigt, dass die Rayleigh-Multipolentwicklung für gleiche Laserparameter genauer ist und schneller zur Konvergenz der numerischen Rechnung führt. Die nicht-Dipoleffekte spiegeln is sowohl in den differentiellen als auch den totalen Ionisierungswahrscheinlichkeiten in Form von erhöhten Ionisierungsausbeuten, verzerrten ATI Strukturen und einer Asymmetrie in der Photoelektronenwinkelverteilung in der Polarisations und Propagationsrichtung wider. Es wird beobachtet, dass die nicht-Dipoleffekte mit der Intensität, Wellenlänge und Pulsdauer zunehmen. Es werden Ergebnisse sowohl für das Wasserstoffatom als auch das Heliumatom gezeigt. / The development of free-electron lasers and new generation light sources is enabling the realisation of high intensities and short pulse durations. In the weak-field intensity regime, the electric dipole approximation has been quite successful in describing the light-matter interaction dynamics reproducing many of the experimentally observed features. But at the unprecedented intensities and x-ray wavelengths produced by the new light sources, the electric dipole approximation is likely to break down. The role of higher multipole-order terms in the interaction Hamiltonian, associated with the radiation pressure, is then expected to become important in the accurate description of the interaction dynamics. This study extends the solution of the non-relativistic time dependent Schrödinger equation for a single active electron system interacting with short intense laser pulses beyond the standard dipole approximation. This is realized using both the Taylor and the Rayleigh plane-wave multipole expansion series of the spatial retardation term. The inclusion of higher multipole-order terms of the interaction is expected to increase the validity and accuracy of the calculated observables relative to the experimental measurements. In addition, it is shown that for equivalent laser parameters the Rayleigh multipole expansion series is more accurate and efficient in numerical convergence. The investigated non-dipole effects manifest in both differential and total ionization probabilities in form of the increased ion yields, the distorted above-threshold-ionization structure, and asymmetry of the photoelectron angular distribution in both polarization and propagation directions. The non-dipole effects are seen to increase with intensity, wavelength, and pulse duration. The results for hydrogen as well as helium atom are presented in this study.

No description available.