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The dipole approximation is employed to describe interactions between atoms and radiation. It essentially consists of neglecting the spatial variation of the external field over the atom. Heuristically, this is justified by arguing that the…

Mathematical Physics · Physics 2018-04-04 Lea Boßmann , Robert Grummt , Martin Kolb

For ultrashort VUV pulses with a pulse length comparable to the orbital time of the bound electrons they couple to we propose a simplified envelope Hamiltonian. It is based on the Kramers-Henneberger representation in connection with a…

Atomic Physics · Physics 2018-01-09 Koudai Toyota , Ulf Saalmann , Jan M. Rost

We present a theoretical study of atomic laser-assisted photoionization emission (LAPE) beyond the dipole approximation. By considering the non-relativistic non-dipole strong-field approximation (non-dipole Gordon-Volkov wave function), we…

The photonic environment can significantly influence emission properties and interactions among atomic systems. In such scenarios, frequently the electric dipole approximation is assumed that is justified as long as the spatial extent of…

We investigate the role of relativity in photo ionization of hydrogen-like ions by a laser pulse. For hydrogen, the wavelengths of the laser resides in the weakly ultra violet region. For higher nuclear charges, the laser parameters are…

Atomic Physics · Physics 2024-09-12 Tor Kjellsson Lindblom , Simen Bræck , Sølve Selstø

The process of ionization of a hydrogen atom by a short infrared laser pulse is studied in the regime of very large pulse intensity, in the dipole approximation. Let $A$ denote the integral of the electric field of the pulse over time at…

Mathematical Physics · Physics 2015-05-18 Juerg Froehlich , Alessandro Pizzo , Benjamin Schlein

We have investigated the ionization of the H atom by intense few-cycle laser pulses, in particular the intra-pulse interference effects, and their dependence on the carrier-envelope phase (CEP) of the laser pulse. In the final momentum…

Atomic Physics · Physics 2015-06-22 A. Tóth , S. Borbély , K. Tőkési , L. Nagy

Ionization by a sequence of extreme ultraviolet pulses is investigated based on the rigorous numerical solution of the time-dependent Schr\"odinger equation, when the driving laser field is treated exactly. This goes beyond the typically…

Atomic Physics · Physics 2025-11-07 J. Z. Kamiński , K. Krajewska

We have investigated non-dipole effects in the interaction of a hydrogen atom with elliptically polarized laser pulses of intensity 10$^{14}$ W/cm$^2$ with about 8 fs duration. The study was performed within the framework of a hybrid…

Atomic Physics · Physics 2025-09-03 Vladimir S. Melezhik , Sara Shadmehri

We study nondipole effects in multiphoton ionization of a two-dimensional hydrogen-like atom by a flat-top laser pulse of varied intensity. For this purpose, we solve numerically a two-dimensional Schr\"odinger equation treating a…

Atomic Physics · Physics 2024-12-25 J. Z. Kamiński , K. Krajewska

The method of the envelope Hamiltonian [K. Toyota, U. Saalmann, and J. M. Rost, New J. Phys. {\bf 17}, 073005~(2015)] is applied to further study a detachment dynamics of a model negative ion in one-dimension in high-frequency regime. This…

Atomic Physics · Physics 2016-10-19 Koudai Toyota

We propose a new type of gauge-invariant expansion of the ionization probability amplitudes of atoms by short pulses of electromagnetic radiation. Contrary to previous gauge-invariant approaches to this problem it does not require different…

Quantum Physics · Physics 2015-05-19 A. Bechler , M. Ślȩczka

The resources needed for Particle in Cell simulations of Laser Wakefield Acceleration can be greatly reduced in many cases of interest using an envelope model. However, the inclusion of tunneling ionization in this time averaged treatment…

Plasma Physics · Physics 2022-04-28 Francesco Massimo , Arnaud Beck , Julien Dérouillat , Imen Zemzemi , Arnd Specka

A general method for solving numerically the time-dependent Schr\"odinger equation, that is based on the Suzuki-Trotter scheme with the split-step Fourier approach, is introduced. The method relies on a Hamiltonian decomposition, where…

Atomic Physics · Physics 2022-11-29 M. C. Suster , J. Derlikiewicz , K. Krajewska , F. Cajiao Vélez , J. Z. Kamiński

In strong-field ionization interferences between electron trajectories create a variety of interference structures in the final momentum distributions. Among them, the interferences between electron pathways that are driven directly to the…

A theoretical comparison of the electronic excitation and ionisation behaviour of molecular hydrogen oriented either parallel or perpendicular to a linear polarised laser pulse is performed. The investigation is based on a non-perturbative…

Quantum Physics · Physics 2009-11-13 Yulian V. Vanne , Alejandro Saenz

Within a general theoretical framework we study the effective, deformation-induced interaction between two colloidal particles trapped at a fluid interface in the regime of small deformations. In many studies, this interaction has been…

Soft Condensed Matter · Physics 2010-06-18 Alvaro Dominguez , Martin Oettel , Siegfried Dietrich

A theoretical study of the intense-field single ionization of molecular hydrogen or deuterium oriented either parallel or perpendicular to a linear polarized laser pulse (400 nm) is performed for different internuclear separations and pulse…

Quantum Physics · Physics 2015-05-14 Yulian V. Vanne , Alejandro Saenz

A theoretical study of the intense-field multiphoton ionization of hydrogenlike systems is performed by solving the time-dependent Dirac equation within the dipole approximation. It is shown that the velocity-gauge results agree to the ones…

Quantum Physics · Physics 2015-05-27 Yulian V. Vanne , Alejandro Saenz

We investigate, from a theoretical perspective, photo-emission of electrons induced by ultra-short infrared pulses covering only a few photon cycles. In particular, we investigate the impact of the Carrier-Envelope Phase (CEP) of the laser…

Atomic and Molecular Clusters · Physics 2018-01-17 Paul-Gerhard Reinhard , Eric Suraud , Chris Meier
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