TY - JOUR A1 - Shabanov, Sergej V. A1 - Gornushkin, Igor B. T1 - Geometrical effects in data collection and processing for calibration-free laser-induced breakdown spectroscopy N2 - Data processing in the calibration-free laser-induced breakdown spectroscopy (LIBS) is usually based on the solution of the radiative transfer equation along a particular line of sight through a plasma plume. The LIBS data processing is generalized to the case when the spectral data are collected from large portions of the plume. It is shown that by adjusting the optical depth and width of the lines the spectra obtained by collecting light from an entire spherical homogeneous plasma plume can be least-square fitted to a spectrum obtained by collecting the radiation just along a plume diameter with a relative error of 10 −11 or smaller (for the optical depth not exceeding 0.3) so that a mismatch of geometries of data processing and data collection cannot be detected by fitting. Despite the existence of such a perfect least-square fit, the errors in the line optical depth and width found by a data processing with an inappropriate geometry can be large. It is shown with analytic and numerical examples that the corresponding relative errors in the found elemental number densities and concentrations may be as high as 50% and 20%, respectively. Safe for a few found exceptions, these errors are impossible to eliminate from LIBS data processing unless a proper solution of the radiative transfer equation corresponding to the ray tracing in the spectral data collection is used. KW - Laser induced plasma KW - LIBS KW - Plasma modeling KW - Plasma diagnostics PY - 2018 DO - https://doi.org/10.1016/j.jqsrt.2017.09.018 SN - 0022-4073 SN - 1879-1352 VL - 204 SP - 190 EP - 205 PB - Elsevier AN - OPUS4-43131 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Shabanov, Sergej V. A1 - Gornushkin, Igor B. T1 - Two-dimensional axisymmetric models of laser induced plasmas relevant to laser induced breakdown spectroscopy N2 - A dynamical model of a laser induced plasma with axial symmetry is developed to systematically study the effects of the plasma equation of state, radiation transfer, various transport phenomena (viscosity, thermal conductivity, diffusion), and the ablation surface on the observable quantities such as spectra emitted by LIBS plasmas containing multiple species. Theoretical and numerical foundations of the model are described in detail. It is shown that the plasma spectra simulated with the equation of state based on the energy balance that includes the kinetic (thermal) energy, ionization energy, and energy of electronic excitations in atoms and ions differ significantly from the spectra obtained for plasmas modeled in the ideal gas approximation (where only the kinetic energy is included into the energy balance). Various transport phenomena, such as viscosity, diffusion, and thermal conductivity, are shown to have a little effect on the spectra. Radiation losses are proved to have noticeable effects. The effects of various interactions (adhesion, heat exchange, mass inflows) of the evolving plasma with the ablation surface are also illustrated by numerical simulations for typical LIBS plasmas. The model provides a numerical tool to assess various settings for LIBS plasma experiments as well as to interpret experimental data. KW - Laser induced plasma KW - Modeling KW - Collision dominated model KW - Laser induced breakdown spectroscopy, LIBS PY - 2014 DO - https://doi.org/10.1016/j.sab.2014.08.026 SN - 0584-8547 SN - 0038-6987 VL - 100 SP - 147 EP - 172 PB - Elsevier CY - Amsterdam AN - OPUS4-32162 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Merk, Sven A1 - Shabanov, Sergej V. A1 - Gornushkin, Igor B. A1 - Panne, Ulrich T1 - Laser-induced plasma tomography by the Radon transform N2 - The Radon transform is tested as a method for reconstruction of the emissivity distribution of asymmetric laser induced plasmas. Two types of experiments were carried out. First, the plasma asymmetry is introduced via focusing the laser by a cylindrical lens to create plasma plumes elongated along the symmetry axis of the lens. Second, an asymmetric power distribution across the laser beam is created by reflecting the latter from a damaged mirror. Various effects on the quality of the plasma emissivity reconstructed by the Radon tomography method are investigated. The understanding of these effects appears to be essential to design a proper experimental setup to study LIBS plasmas by the Radon tomography method. It is demonstrated that the Radon tomography can successfully be used for experimental studies of asymmetric LIBS plasmas. KW - Radon transform KW - Laser induced plasma KW - LIBS KW - Plasma tomography PY - 2011 DO - https://doi.org/10.1039/c1ja10187k SN - 0267-9477 SN - 1364-5544 VL - 26 SP - 2483 EP - 2492 PB - Royal Society of Chemistry CY - London AN - OPUS4-24889 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Shabanov, Sergej V. A1 - Gornushkin, Igor B. T1 - Absorption tomography of laser induced plasmas N2 - An emission tomography of laser-induced plasmas employed in the laser induced breakdown spectroscopy (LIBS) requires signal integration times in a microsecond range during which the LIBS plasma cannot be considered stationary. Consequently, the use of the data for reconstructing the plasma properties under the assumption that the latter does not change significantly during the integration time leads to inaccurate results. To reduce the integration time, it is proposed to measure a plasma absorption in parallel rays using a scanning rectangular aperture whose dimension Δ along the scanning direction is about a characteristic size of plasma plumes (Δ ~ 1 cm) and the other dimension Δp is of the order of a uniformity length of plasma parameters (Δp ~ 10 µm). The aperture is moved step by step along the scanning direction and the total energy of photons coming through the aperture is measured during time T at each position of the aperture. Owing to the large size of the aperture, the integration time T is reduced by a factor ~ Δp/Δ. A numerical data processing is proposed to restore the spatial resolution of the plasma absorption along the scanning direction. It is determined by the scanning step Δs ≤ Δp. Another advantage of the proposed procedure is that inexpensive linear CCD or non-discrete (PMT, photodiode) detectors can be used instead of costly 2-dimensional detectors. KW - Plasma tomography KW - Laser induced plasma PY - 2012 DO - https://doi.org/10.1016/j.jqsrt.2011.12.016 SN - 0022-4073 VL - 113 IS - 7 SP - 518 EP - 523 PB - Pergamon Press CY - Oxford [u.a.] AN - OPUS4-25823 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -