A comparison of past and present computational methods for shape analysis of double-shell x-ray radiographs.

Implosion symmetry is a key requirement in achieving a robust burning plasma in inertial confinement fusion experiments. In double-shell capsule implosions, we are interested in the shape of the inner shell as it pushes on the fuel. Shape analysis is a popular technique for studying said symmetry during implosion. Combinations of filtering and contour-finding algorithms are studied for their promise in reliably recovering Legendre shape coefficients from synthetic radiographs of double-shell capsules with applied levels of noise. A radial lineout max(slope) method when used on an image pre-filtered with non-local means and a variant of the marching squares algorithm are able to recover p0, p2, and p4 maxslope Legendre shape coefficients with mean pixel discrepancy errors of 2.81 and 3.06, respectively, for the noisy synthetic radiographs we consider. This improves upon prior radial lineout methods paired with Gaussian filtering, which we show to be unreliable and whose performance is dependent on input parameters that are difficult to estimate.

Neural network for 3D inertial confinement fusion shell reconstruction from single radiographs.

In inertial confinement fusion (ICF), x-ray radiography is a critical diagnostic for measuring implosion dynamics, which contain rich three-dimensional (3D) information. Traditional methods for reconstructing 3D volumes from 2D radiographs, such as filtered backprojection, require radiographs from at least two different angles or lines of sight (LOS). In ICF experiments, the space for diagnostics is limited, and cameras that can operate on fast timescales are expensive to implement, limiting the number of projections that can be acquired. To improve the imaging quality as a result of this limitation, convolutional neural networks (CNNs) have recently been shown to be capable of producing 3D models from visible light images or medical x-ray images rendered by volumetric computed tomography. We propose a CNN to reconstruct 3D ICF spherical shells from single radiographs. We also examine the sensitivity of the 3D reconstruction to different illumination models using preprocessing techniques such as pseudo-flatfielding. To resolve the issue of the lack of 3D supervision, we show that training the CNN utilizing synthetic radiographs produced by known simulation methods allows for reconstruction of experimental data as long as the experimental data are similar to the synthetic data. We also show that the CNN allows for 3D reconstruction of shells that possess low mode asymmetries. Further comparisons of the 3D reconstructions with direct multiple LOS measurements are justified.

Development of a backlit-multi-pinhole radiography source.

Backlit-pinhole radiography uses a pinhole placed between an x-ray source and a sample. The backlit-multi-pinhole design uses two pinholes on the same substrate, which are separated by a wall, to create two radiographic images projected along similar axes. The wall, a 100-µm thick titanium foil, prevents x-rays generated near one pinhole from exiting the other pinhole. First results indicate that the multi-pinhole target can create two independent radiographs along similar axes. The images are recorded 2 ns apart. Details of our multi-pinhole design and our first results are discussed.

Experimental considerations to observe two ionizing fronts in systems with a sharp absorption edge.

This paper examines the experimental requirements to observe two shock fronts driven by a single x-ray source in systems with a sharp absorption edge. We consider systems where the peak of the x-ray radiation drive coincides with the K-edge of the carbon, which occurs at a photon energy of 284 eV, causing photons to be deposited in two regions. The low-energy photons (E < 284 eV) penetrate further and drive the main shock, while the higher-energy photons (E > 284 eV) are absorbed in the ablated plasma. These higher-energy photons create an ionization front, which then produces a second shock, termed an edge-shock. Using a different radiation-hydrodynamics code and different opacity and equation of state tables, we replicate the previous work and build upon them to explore the conditions required to form the edge shock. We find that having the material K-edge coincide with the spectral domain of the radiation source is necessary but not sufficient on its own to drive the edge-shock.

Demonstration of imaging X-ray Thomson scattering on OMEGA EP.

Foams are a common material for high-energy-density physics experiments because of low, tunable densities, and being machinable. Simulating these experiments can be difficult because the equation of state is largely unknown for shocked foams. The focus of this experiment was to develop an x-ray scattering platform for measuring the equation of state of shocked foams on OMEGA EP. The foam used in this experiment is resorcinol formaldehyde with an initial density of 0.34 g/cm3. One long-pulse (10 ns) beam drives a shock into the foam, while the remaining three UV beams with a 2 ns square pulse irradiate a nickel foil to create the x-ray backlighter. The primary diagnostic for this platform, the imaging x-ray Thomson spectrometer, spectrally resolves the scattered x-ray beam while imaging in one spatial dimension. Ray tracing analysis of the density profile gives a compression of 3 ± 1 with a shock speed of 39 ± 6 km/s. Analysis of the scattered x-ray spectra gives an upper bound temperature of 20 eV.

Concept to diagnose mix with imaging x-ray Thomson scattering.

Turbulent mixing of two fluid species is a ubiquitous problem, prevalent in systems such as inertial confinement fusion (ICF) capsule implosions, supernova remnants, and other astrophysical systems. In complex, high Reynolds number compressible high energy density (HED) flows such as these, hydrodynamic instabilities initiate the turbulent mixing process, which can then feedback and alter the mean hydrodynamic motion through nonlinear processes. In order to predict how these systems evolve under turbulent conditions, models are used. However, these models require detailed quantitative data to validate and constrain their detailed physics models as well as improve them. Providing this much needed data is currently at the forefront of HED research but is proving elusive due to a lack of available diagnostics capable of directly measuring detailed flow variables. Thomson scattering is a promising technique in this regard as it provides fundamental conditions of the flow (ρ, T, Zbar) due to its direct interaction with the small scales of the fluid or plasma and was recently considered as a possible mix diagnostic. With the development of imaging x-ray Thomson scattering (IXRTS) obtaining spatial profiles of these variables is within reach. We propose a novel use of the IXRTS technique that will provide more detailed quantitative data required for model validation in mix experiments.

Conversion efficiency of high-Z backlighter materials.

High-Z backlighter materials are commonly used as x-ray sources for diagnosing laser-driven experiments. In order to properly plan for experiments and analyze the data, it is important to understand both the number and distribution of photons emitted by the x-ray source when it is irradiated by a laser. The conversion efficiency of L-shell and M-shell emitters is not as well understood as K-shell emitters. The conversion efficiency of the former is typically presented in terms of the entire L- or M-shell spectral region. However, for some applications, one may only want to use a subset of this spectral region. Laser conversion efficiency for L-shell and M-shell emitters suitable for high-energy (>3 keV) absorption spectroscopy is presented at multiple laser intensities. The measured conversion efficiency of the materials ranges from 0.2% to 0.6%.