Temperature and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>K</mml:mi><mml:mi>α</mml:mi></mml:mrow></mml:math>-yield radial distributions in laser-produced solid-density plasmas imaged with ultrahigh-resolution x-ray spectroscopy

A simple model for the dielectric function of a completely ionized plasma with an arbitrary ionic charge, that is valid for long-wavelength high-frequency perturbations is derived using an approximate solution of a linearized Fokker-Planck kinetic equation for electrons with a Landau collision integral. The model accounts for both the electron-ion collisions and the collisions of the subthermal (cold) electrons with thermal ones. The relative contribution of the latter collisions to the dielectric function is treated phenomenologically, introducing some parameter κ that is chosen in such a way as to get a well-known expression for stationary electric conductivity in the low-frequency region and fulfill the requirement of a vanishing contribution of electron-electron collisions in the high-frequency region. This procedure ensures the applicability of our model in a wide range of plasma parameters as well as the frequency of the electromagnetic radiation. Unlike the interpolation formula proposed earlier by Brantov et al. [Brantov et al., JETP 106, 983 (2008)

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“…(2) and (3) correspond to the electron-electron and electron-ion collisions, respectively. The last term in Eq.…”

Section: Theoretical Modelmentioning

confidence: 99%

Dielectric function of a collisional plasma for arbitrary ionic charge

et al. 2014

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“…Here, the here-described spectrometer would allow for simultaneous measurements over a wide angular range, which is potentially both more efficient and reliable than recording one emission angle at a time. 29,30 Additionally, the high spectral resolution allows determination of the plasma temperature by fitting the altered Kα line shape with temperature-dependent line shape models. 31 …”

Section: Wider Ranging Applicationsmentioning

confidence: 99%

Bent crystal spectrometer for both frequency and wavenumber resolved x-ray scattering at a seeded free-electron laser

Zastrau

Fletcher

Förster

et al. 2014

Review of Scientific Instruments

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We present a cylindrically curved GaAs x-ray spectrometer with energy resolution ∆E/E = 1.1 • 10 −4 and wave-number resolution of ∆k/k = 3 • 10 −3 , allowing plasmon scattering at the resolution limits of the Linac Coherent Light Source (LCLS) x-ray free-electron laser. It spans scattering wavenumbers of 3.6 to 5.2/ Å in 100 separate bins, with only 0.34% wavenumber blurring. The dispersion of 0.418 eV/13.5 µm agrees with predictions within 1.3%. The reflection homogeneity over the entire wavenumber range was measured and used to normalize the amplitude of scattering spectra. The proposed spectrometer is superior to a mosaic HAPG spectrometer when the energy resolution needs to be comparable to the LCLS seeded bandwidth of 1 eV and a significant range of wavenumbers must be covered in one exposure.

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“…temperature, free electron density and ion density, the abundance of different ion species has to be determined [1,2]. We calculate the composition according to the equations (4) and (13) given above.…”

Section: Resultsmentioning

confidence: 99%

“…Local plasma temperatures inside the target can be determined by comparing measured radially-resolved ultra-high spectral-resolution spectra and calculated synthetic spectra [1]. The X-ray emission is strongly related to the amount of free plasma electrons in the target [2].…”

Section: Introductionmentioning

confidence: 99%

Composition of Partially Ionized Systems Using the PlanckLarkin Partition Function of Mid‐Z ions

Sengebusch¹,

Reinholz

Röpke

2009

Contrib. Plasma Phys.

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We report on the composition of warm, dense plasmas of M-shell ions. Assuming local thermal equilibrium, the abundance of different ionization stages is given by a set of coupled Saha-equations. In order to avoid discontinuities at the Mott density, the partition functions have to account for pressure ionization due to continuum lowering consistently. The Planck-Larkin renormalization of bound and scattering states is well elaborated for hydrogenic systems. This paper shows the consistent extension to moderately ionized Mid-Z elements. We present results for solid-density polymere and titanium plasmas.

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Temperature andKα-yield radial distributions in laser-produced solid-density plasmas imaged with ultrahigh-resolution x-ray spectroscopy

Cited by 31 publications

References 29 publications

Dielectric function of a collisional plasma for arbitrary ionic charge

Dielectric function of a collisional plasma for arbitrary ionic charge

Bent crystal spectrometer for both frequency and wavenumber resolved x-ray scattering at a seeded free-electron laser

Composition of Partially Ionized Systems Using the PlanckLarkin Partition Function of Mid‐Z ions

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