Retrieving fields from proton radiography without source profiles.

Proton radiography is a technique in high-energy density science to diagnose magnetic and/or electric fields in a plasma by firing a proton beam and detecting its modulated intensity profile on a screen. Current approaches to retrieve the integrated field from the modulated intensity profile require the unmodulated beam intensity profile before the interaction, which is rarely available experimentally due to shot-to-shot variability. In this paper, we present a statistical method to retrieve the integrated field without needing to know the exact source profile. We apply our method to experimental data, showing the robustness of our approach. Our proposed technique allows for the retrieval not only of the path-integrated fields, but also of the statistical properties of the fields.

[1]  W. Hager,et al.  and s , 2019, Shallow Water Hydraulics.

[2]  R. Sarpong,et al.  Bio-inspired synthesis of xishacorenes A, B, and C, and a new congener from fuscol† †Electronic supplementary information (ESI) available. See DOI: 10.1039/c9sc02572c , 2019, Chemical science.

[3]  D. Lamb,et al.  Laboratory evidence of dynamo amplification of magnetic fields in a turbulent plasma , 2017, Nature Communications.

[4]  D. Lamb,et al.  Proton imaging of stochastic magnetic fields , 2017, Journal of Plasma Physics.

[5]  M. Yeung,et al.  Experimental Observation of a Current-Driven Instability in a Neutral Electron-Positron Beam. , 2017, Physical review letters.

[6]  Nicholas F. Y. Chen,et al.  Quantitative shadowgraphy and proton radiography for large intensity modulations. , 2016, Physical Review E.

[7]  D. Lamb,et al.  Inferring morphology and strength of magnetic fields from proton radiographs. , 2016, The Review of scientific instruments.

[8]  J. R. Rygg,et al.  Note: A monoenergetic proton backlighter for the National Ignition Facility. , 2015, The Review of scientific instruments.

[9]  R. P. Drake,et al.  Observation of magnetic field generation via the Weibel instability in interpenetrating plasma flows , 2013, Nature Physics.

[10]  J. Frenje,et al.  Source characterization and modeling development for monoenergetic-proton radiography experiments on OMEGA. , 2012, The Review of scientific instruments.

[11]  M. Aurada,et al.  Convergence of adaptive BEM for some mixed boundary value problem , 2012, Applied numerical mathematics : transactions of IMACS.

[12]  D. Ryutov,et al.  Invited article: Relation between electric and magnetic field structures and their proton-beam images. , 2012, The Review of scientific instruments.

[13]  J. F. Williams,et al.  An efficient approach for the numerical solution of the Monge-Ampère equation , 2011 .

[14]  T. C. Sangster,et al.  High-power, kilojoule class laser channeling in millimeter-scale underdense plasma. , 2010, Physical review letters.

[15]  O Willi,et al.  Observation of magnetized soliton remnants in the wake of intense laser pulse propagation through plasmas. , 2010, Physical review letters.

[16]  J. R. Rygg,et al.  Observation of megagauss-field topology changes due to magnetic reconnection in laser-produced plasmas. , 2007, Physical review letters.

[17]  M G Haines,et al.  Magnetic reconnection and plasma dynamics in two-beam laser-solid interactions. , 2006, Physical review letters.

[18]  Rui Paulo Default priors for Gaussian processes , 2005, math/0505603.

[19]  D. H. Campbell,et al.  Macroscopic evidence of soliton formation in multiterawatt laser-plasma interaction. , 2001, Physical review letters.

[20]  Franz Aurenhammer,et al.  Minkowski-Type Theorems and Least-Squares Clustering , 1998, Algorithmica.

[21]  Michael I. Jordan,et al.  Advances in Neural Information Processing Systems 30 , 1995 .