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Ooi CHR, Ho WL, Bandrauk AD. Effects of ultrashort laser pulses on angular distributions of photoionization spectra. Sci Rep 2017; 7:6739. [PMID: 28751648 DOI: 10.1038/s41598-017-05915-8] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/28/2016] [Accepted: 06/06/2017] [Indexed: 11/09/2022] Open
Abstract
We study the photoelectron spectra by intense laser pulses with arbitrary time dependence and phase within the Keldysh framework. An efficient semianalytical approach using analytical transition matrix elements for hydrogenic atoms in any initial state enables efficient and accurate computation of the photoionization probability at any observation point without saddle point approximation, providing comprehensive three dimensional photoelectron angular distribution for linear and elliptical polarizations, that reveal the intricate features and provide insights on the photoionization characteristics such as angular dispersions, shift and splitting of photoelectron peaks from the tunneling or above threshold ionization(ATI) regime to non-adiabatic(intermediate) and multiphoton ionization(MPI) regimes. This facilitates the study of the effects of various laser pulse parameters on the photoelectron spectra and their angular distributions. The photoelectron peaks occur at multiples of 2ħω for linear polarization while odd-ordered peaks are suppressed in the direction perpendicular to the electric field. Short pulses create splitting and angular dispersion where the peaks are strongly correlated to the angles. For MPI and elliptical polarization with shorter pulses the peaks split into doublets and the first peak vanishes. The carrier envelope phase(CEP) significantly affects the ATI spectra while the Stark effect shifts the spectra of intermediate regime to higher energies due to interference.
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Affiliation(s)
- C H Raymond Ooi
- Department of Physics, Faculty of Science, University of Malaya, 50603, Kuala Lumpur, Malaysia.
| | - W L Ho
- Department of Physics, Faculty of Science, University of Malaya, 50603, Kuala Lumpur, Malaysia
| | - A D Bandrauk
- Laboratoire de Chimie Théorique, Faculté des Sciences, Université de Sherbrooke, Sherbrooke, Québec, J1K 2R1, Canada
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2
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Klaiber M, Hatsagortsyan KZ, Wu J, Luo SS, Grugan P, Walker BC. Limits of Strong Field Rescattering in the Relativistic Regime. PHYSICAL REVIEW LETTERS 2017; 118:093001. [PMID: 28306283 DOI: 10.1103/physrevlett.118.093001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/03/2016] [Indexed: 06/06/2023]
Abstract
Recollision for a laser driven atomic system is investigated in the relativistic regime via a strong field quantum description and Monte Carlo semiclassical approach. We find the relativistic recollision energy cutoff is independent of the ponderomotive potential U_{p}, in contrast to the well-known 3.2U_{p} scaling. The relativistic recollision energy cutoff is determined by the ionization potential of the atomic system and achievable with non-negligible recollision flux before entering a "rescattering free" interaction. The ultimate energy cutoff is limited by the available intensities of short wavelength lasers and cannot exceed a few thousand Hartree, setting a boundary for recollision based attosecond physics.
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Affiliation(s)
- M Klaiber
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - K Z Hatsagortsyan
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - J Wu
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
| | - S S Luo
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
| | - P Grugan
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
| | - B C Walker
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
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3
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Galloway BR, Popmintchev D, Pisanty E, Hickstein DD, Murnane MM, Kapteyn HC, Popmintchev T. Lorentz drift compensation in high harmonic generation in the soft and hard X-ray regions of the spectrum. OPTICS EXPRESS 2016; 24:21818-21832. [PMID: 27661918 DOI: 10.1364/oe.24.021818] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
We present a semi-classical study of the effects of the Lorentz force on electrons during high harmonic generation in the soft and hard X-ray regions driven by near- and mid-infrared lasers with wavelengths from 0.8 to 20 μm, and at intensities below 1015 W/cm2. The transverse extent of the longitudinal Lorentz drift is compared for both Gaussian focus and waveguide geometries. Both geometries exhibit a longitudinal electric field component that cancels the magnetic Lorentz drift in some regions of the focus, once each full optical cycle. We show that the Lorentz force contributes a super-Gaussian scaling which acts in addition to the dominant high harmonic flux scaling of λ-(5-6) due to quantum diffusion. We predict that the high harmonic yield will be reduced for driving wavelengths > 6 μm, and that the presence of dynamic spatial mode asymmetries results in the generation of both even and odd harmonic orders. Remarkably, we show that under realistic conditions, the recollision process can be controlled and does not shut off completely even for wavelengths >10 μm and recollision energies greater than 15 keV.
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4
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Marcus G, Helml W, Gu X, Deng Y, Hartmann R, Kobayashi T, Strueder L, Kienberger R, Krausz F. Subfemtosecond K-shell excitation with a few-cycle infrared laser field. PHYSICAL REVIEW LETTERS 2012; 108:023201. [PMID: 22324681 DOI: 10.1103/physrevlett.108.023201] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/28/2010] [Revised: 03/15/2011] [Indexed: 05/31/2023]
Abstract
Subfemtosecond bursts of extreme ultraviolet radiation, facilitated by a process known as high-order harmonic generation, are a key ingredient for attosecond metrology, providing a tool to precisely initiate and probe ultrafast dynamics in the microcosms of atoms, molecules, and solids. These ultrashort pulses are always, and as a by-product of the way they are generated, accompanied by laser-induced recollisions of electrons with their parent ions. By using a few-cycle infrared (λ(0)=2.1 μm) driving laser, we were able to directly excite high-energy (∼870 eV) inner-shell electrons through laser-induced electron recollision, opening the door to time-resolved studies of core-level and concomitant multielectron dynamics.
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Affiliation(s)
- Gilad Marcus
- Max-Planck-Institut für Quantenoptik, Garching, Germany.
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6
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Dudovich N, Levesque J, Smirnova O, Zeidler D, Comtois D, Ivanov MY, Villeneuve DM, Corkum PB. Attosecond temporal gating with elliptically polarized light. PHYSICAL REVIEW LETTERS 2006; 97:253903. [PMID: 17280355 DOI: 10.1103/physrevlett.97.253903] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/14/2006] [Indexed: 05/13/2023]
Abstract
Temporal gating allows high accuracy time-resolved measurements of a broad range of ultrafast processes. By manipulating the interaction between an atom and an intense laser field, we extend gating into the nonlinear medium in which attosecond optical and electron pulses are generated. Our gate is an amplitude gate induced by ellipticity of the fundamental pulse. The gate modulates the spectrum of the high harmonic emission and we use the measured modulation to characterize the sub-laser-cycle dynamics of the recollision electron wave packet.
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Affiliation(s)
- N Dudovich
- Steacie Institute for Molecular Sciences, National Research Council of Canada, Ottawa, Ontario K1A 0R6, Canada
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7
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Lin Q, Li S, Becker W. High-order harmonic generation in a tightly focused laser beam. OPTICS LETTERS 2006; 31:2163-5. [PMID: 16794713 DOI: 10.1364/ol.31.002163] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/10/2023]
Abstract
The force due to the transverse magnetic field of a laser beam drives an electron in the direction of laser propagation, thereby impeding the recollision mechanism for high-order harmonic generation. The longitudinal electric field component of a tightly focused Gaussian beam can sufficiently counteract the magnetic force to enhance the harmonic yield substantially. For tight focusing and a laser intensity of 10(18) W/cm2, it can raise the harmonic yield by several orders of magnitude.
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Affiliation(s)
- Q Lin
- Department of Physics, Zhejiang University, Hangzhou, China
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8
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Lan P, Lu P, Cao W, Wang X. Attosecond and zeptosecond x-ray pulses via nonlinear Thomson backscattering. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2005; 72:066501. [PMID: 16486069 DOI: 10.1103/physreve.72.066501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/11/2005] [Revised: 09/26/2005] [Indexed: 05/06/2023]
Abstract
Nonlinear Thomson backscattering of an intense circularly polarized laser by a counterpropagating energetic electron is investigated. The results show that in the scattering of a non-tightly-focused laser pulse with an intensity around 10(19) W/cm2 and a pulse duration of full width at half maximum by a counterpropagating electron with an initial energy of 10 MeV, a crescent-shaped pulse with a pulse duration of 469 s and the photon energy ranging from 230 eV to 2.5 keV is generated in the backward direction. It is shown that the radiated pulse shape and monochromaticity can be modified by changing the laser beam waist, while in the case of a tightly focused laser field, a single peak pulse with a shorter duration and better monochromaticity can be obtained. With increase of the electron initial energy, the peak power of the radiated pulse increases and the pulse duration decreases. An isolated powerful zeptosecond pulse with a peak power of about and photon energy up to several MeV can be obtained with a electron.
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Affiliation(s)
- Pengfei Lan
- State Key Laboratory of Laser Technology and Wuhan National Laboratory for Optoelectronics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
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Shalashilin DV, Child MS. Electronic energy levels with the help of trajectory-guided random grid of coupled wave packets. I. Six-dimensional simulation of H2. J Chem Phys 2005; 122:224108. [PMID: 15974652 DOI: 10.1063/1.1926268] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022] Open
Abstract
As a preliminary to future work on the behavior of atoms and molecules in strong time-dependent fields, we apply the coupled coherent-states (CCS) technique of multidimensional phase-space quantum dynamics to obtain Born-Oppenheimer energy levels of electrons in molecules. Unlike traditional approaches based on atomic and molecular-orbital basis sets and time-independent Schrodinger equation the CCS method exploits the solution of the time-dependent Schrodinger equation in the basis of Monte Carlo-selected trajectory-guided coherent states, which treat classical electron correlations exactly. In addition the CCS trajectories move over averaged potentials, which remove the Coulombic singularities.
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Affiliation(s)
- Dmitrii V Shalashilin
- Physical and Theoretical Chemistry Laboratory Oxford University, South Parks Road, Oxford OX1 3QZ, United Kingdom.
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Shevchenko A, Carter J, Fearick RW, Förtsch SV, Fujita H, Fujita Y, Kalmykov Y, Lacroix D, Lawrie JJ, von Neumann-Cosel P, Neveling R, Ponomarev VY, Richter A, Sideras-Haddad E, Smit FD, Wambach J. Fine structure in the energy region of the isoscalar giant quadrupole resonance: characteristic scales from a wavelet analysis. PHYSICAL REVIEW LETTERS 2004; 93:122501. [PMID: 15447256 DOI: 10.1103/physrevlett.93.122501] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/01/2004] [Indexed: 05/24/2023]
Abstract
Fine structure in the energy region of the isoscalar giant quadrupole resonance in nuclei is observed in high-resolution proton scattering experiments at iThemba LABS over a wide mass range. A novel method based on wavelet transforms is introduced for the extraction of scales characterizing the fine structure. A comparison with microscopic model calculations including two-particle two-hole (2p2h) degrees of freedom identifies the coupling to surface vibrations as the main source of the observed scales. A generic pattern is also found for the stochastic coupling to the background of the more complex states.
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Affiliation(s)
- A Shevchenko
- Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
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