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Kraus BF, Gao L, Fox W, Hill KW, Bitter M, Efthimion PC, Moreau A, Hollinger R, Wang S, Song H, Rocca JJ. Ablating Ion Velocity Distributions in Short-Pulse-Heated Solids via X-Ray Doppler Shifts. PHYSICAL REVIEW LETTERS 2022; 129:235001. [PMID: 36563203 DOI: 10.1103/physrevlett.129.235001] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/27/2021] [Revised: 08/01/2022] [Accepted: 11/08/2022] [Indexed: 06/17/2023]
Abstract
Solids ablate under laser irradiation, but experiments have not previously characterized the initiation of this process at ultrarelativistic laser intensities. We present first measurements of bulk ion velocity distributions as ablation begins, captured as a function of depth via Doppler-shifted x-ray line emission from two viewing angles. Bayesian analysis indicates that bulk ions are either nearly stationary or flowing outward at the plasma sound speed. The measurements quantitatively constrain the laser-plasma ablation mechanism, suggesting that a steplike electrostatic potential structure drives solid disassembly.
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Affiliation(s)
- B F Kraus
- Department of Astrophysical Sciences, Princeton University, Princeton, 08544 New Jersey, USA
- Princeton Plasma Physics Laboratory, Princeton University, Princeton, 08540 New Jersey, USA
| | - Lan Gao
- Princeton Plasma Physics Laboratory, Princeton University, Princeton, 08540 New Jersey, USA
| | - W Fox
- Princeton Plasma Physics Laboratory, Princeton University, Princeton, 08540 New Jersey, USA
| | - K W Hill
- Princeton Plasma Physics Laboratory, Princeton University, Princeton, 08540 New Jersey, USA
| | - M Bitter
- Princeton Plasma Physics Laboratory, Princeton University, Princeton, 08540 New Jersey, USA
| | - P C Efthimion
- Princeton Plasma Physics Laboratory, Princeton University, Princeton, 08540 New Jersey, USA
| | - A Moreau
- Electrical and Computer Engineering Department, Colorado State University, Fort Collins, 80523 Colorado, USA
| | - R Hollinger
- Electrical and Computer Engineering Department, Colorado State University, Fort Collins, 80523 Colorado, USA
| | - Shoujun Wang
- Electrical and Computer Engineering Department, Colorado State University, Fort Collins, 80523 Colorado, USA
| | - Huanyu Song
- Electrical and Computer Engineering Department, Colorado State University, Fort Collins, 80523 Colorado, USA
| | - J J Rocca
- Electrical and Computer Engineering Department, Colorado State University, Fort Collins, 80523 Colorado, USA
- Physics Department, Colorado State University, Fort Collins, 80523 Colorado, USA
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2
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Bin JH, Allinger K, Khrennikov K, Karsch S, Bolton PR, Schreiber J. Dynamics of laser-driven proton acceleration exhibited by measured laser absorptivity and reflectivity. Sci Rep 2017; 7:43548. [PMID: 28272471 PMCID: PMC5341098 DOI: 10.1038/srep43548] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/21/2016] [Accepted: 01/25/2017] [Indexed: 11/09/2022] Open
Abstract
Proton acceleration from nanometer thin foils with intense laser pulses is investigated experimentally. We analyzed the laser absorptivity by parallel monitoring of laser transmissivity and reflectivity with different laser intensities when moving the targets along the laser axis. A direct correlation between laser absorptivity and maximum proton energy is observed. Experimental results are interpreted in analytical estimation, exhibiting a coexistence of plasma expansion and light-sail form of radiation pressure acceleration (RPA-LS) mechanisms during the entire proton acceleration process based on the measured laser absorptivity and reflectivity.
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Affiliation(s)
- J H Bin
- Fakultät für Physik, Ludwig-Maximilians-Universität München, D-85748 Garching, Germany.,Max-Planck-Institut für Quantenoptik, D-85748 Garching, Germany
| | - K Allinger
- Max-Planck-Institut für Quantenoptik, D-85748 Garching, Germany
| | - K Khrennikov
- Fakultät für Physik, Ludwig-Maximilians-Universität München, D-85748 Garching, Germany
| | - S Karsch
- Fakultät für Physik, Ludwig-Maximilians-Universität München, D-85748 Garching, Germany
| | - P R Bolton
- Fakultät für Physik, Ludwig-Maximilians-Universität München, D-85748 Garching, Germany
| | - J Schreiber
- Fakultät für Physik, Ludwig-Maximilians-Universität München, D-85748 Garching, Germany.,Max-Planck-Institut für Quantenoptik, D-85748 Garching, Germany
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3
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Elkamash IS, Kourakis I. Multispecies plasma expansion into vacuum: The role of secondary ions and suprathermal electrons. Phys Rev E 2016; 94:053202. [PMID: 27967187 DOI: 10.1103/physreve.94.053202] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/29/2016] [Indexed: 11/07/2022]
Abstract
The self-similar expansion of multispecies ion plasma is investigated by a two-ion fluid model with adiabatic equation of state for each ionic species. Our aim is to elucidate the effect of secondary ions on a plasma expansion front, in combination with energetic (suprathermal) electrons in the background, modeled by a kappa-type distribution function. The plasma density, velocity, and electric-field profile is investigated. It is shown that energetic electrons have a significant effect on the expansion front dynamics, essentially energizing the front, thus enhancing the ion acceleration mechanism. Different special cases are considered as regards the relative magnitude of the ion mass and/or charge state.
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Affiliation(s)
- I S Elkamash
- Centre for Plasma Physics, Queen's University Belfast, BT7 1NN Northern Ireland, United Kingdom.,Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
| | - I Kourakis
- Centre for Plasma Physics, Queen's University Belfast, BT7 1NN Northern Ireland, United Kingdom
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4
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Mora P. Ion cooling in collisionless plasma expansion. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 91:013107. [PMID: 25679723 DOI: 10.1103/physreve.91.013107] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/20/2014] [Indexed: 06/04/2023]
Abstract
The ion cooling in collisionless plasma expansion is revisited. It is shown that, in the case of an initial Maxwellian ion distribution, the ion cooling is much slower than predicted by an adiabatic law linking the ion temperature to the ion density. The origin of this behavior is a strong distortion of the ion distribution function resulting in a large ion heat flow (not predicted by a simple water-bag model). Also noticeable is the increase of the electron heat flux in the unperturbed plasma compared to the zero ion temperature case.
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Affiliation(s)
- P Mora
- Centre de Physique Théorique, École Polytechnique, Centre National de la Recherche Scientifique, 91128 Palaiseau, France
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Spädtke P. The role of space charge compensation for ion beam extraction and ion beam transport (invited). THE REVIEW OF SCIENTIFIC INSTRUMENTS 2014; 85:02A744. [PMID: 24593478 DOI: 10.1063/1.4862661] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Depending on the specific type of ion source, the ion beam is extracted either from an electrode surface or from a plasma. There is always an interface between the (almost) space charge compensated ion source plasma, and the extraction region in which the full space charge is influencing the ion beam itself. After extraction, the ion beam is to be transported towards an accelerating structure in most cases. For lower intensities, this transport can be done without space charge compensation. However, if space charge is not negligible, the positive charge of the ion beam will attract electrons, which will compensate the space charge, at least partially. The final degree of Space Charge Compensation (SCC) will depend on different properties, like the ratio of generation rate of secondary particles and their loss rate, or the fact whether the ion beam is pulsed or continuous. In sections of the beam line, where the ion beam is drifting, a pure electrostatic plasma will develop, whereas in magnetic elements, these space charge compensating electrons become magnetized. The transport section will provide a series of different plasma conditions with different properties. Different measurement tools to investigate the degree of space charge compensation will be described, as well as computational methods for the simulation of ion beams with partial space charge compensation.
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Affiliation(s)
- Peter Spädtke
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, Germany
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Diaw A, Mora P. Expansion of a plasma into vacuum with a bi-Maxwellian electron distribution function. EPJ WEB OF CONFERENCES 2013. [DOI: 10.1051/epjconf/20135917009] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kiefer T, Schlegel T, Kaluza MC. Plasma expansion into vacuum assuming a steplike electron energy distribution. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013; 87:043110. [PMID: 23679533 DOI: 10.1103/physreve.87.043110] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/28/2012] [Revised: 03/08/2013] [Indexed: 06/02/2023]
Abstract
The expansion of a semi-infinite plasma slab into vacuum is analyzed with a hydrodynamic model implying a steplike electron energy distribution function. Analytic expressions for the maximum ion energy and the related ion distribution function are derived and compared with one-dimensional numerical simulations. The choice of the specific non-Maxwellian initial electron energy distribution automatically ensures the conservation of the total energy of the system. The estimated ion energies may differ by an order of magnitude from the values obtained with an adiabatic expansion model supposing a Maxwellian electron distribution. Furthermore, good agreement with data from experiments using laser pulses of ultrashort durations τ(L)</~80fs is found, while this is not the case when a hot Maxwellian electron distribution is assumed.
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Diaw A, Mora P. Thin-foil expansion into a vacuum with a two-temperature electron distribution function. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 86:026403. [PMID: 23005865 DOI: 10.1103/physreve.86.026403] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/05/2012] [Indexed: 06/01/2023]
Abstract
A kinetic theory of the expansion into a vacuum of a plasma thin foil with initially a hot and a cold Maxwellian electron population is examined with a one-dimensional kinetic code. Whereas hot electrons always lose energy to expanding ions, cold electrons can either gain or lose energy depending on the initial temperature and density ratios and on time. When the cold electrons' density is not too large, they experience initially an adiabatic compression by the electric field associated with the rarefaction wave. The corresponding temperature increase can be as large as a factor of a few tens. Later on, as expected, the cold electrons eventually lose energy to the expansion. When cold electrons are numerically dominant, a rarefaction shock appears during the first phase of the expansion. Hot electrons cool down faster than cold electrons, thus reducing the effective temperature ratio. Furthermore, the amplitude of the rarefaction shock and the dip that it causes on the ion velocity spectrum tend to be smoothed out by the expansion.
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Affiliation(s)
- A Diaw
- Centre de Physique Théorique, École Polytechnique, Centre National de la Recherche Scientifique, 91128 Palaiseau, France
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