Phase-space sensitivity (weight functions) of 3 MeV proton diagnostics

Heidbrink, W. W.; Garcia, A.; Boeglin, W.; Salewski, M.

doi:10.1088/1361-6587/abeda0

Phase-space sensitivity (weight functions) of 3 MeV proton diagnostics

Journal Article · 31 March 2021 · Plasma Physics and Controlled Fusion

DOI:https://doi.org/10.1088/1361-6587/abeda0· OSTI ID:1850724

; Garcia, A.; Boeglin, W.; Salewski, M.

Abstract

The weight functionW(X) is a diagnostic sensitivity to phase-space variablesXthat relates the measured signalCto the distribution functionF(X) through the equation $C = \int W (X) F (X) d X$ . In the present work, an algorithm to calculateWfor a diagnostic that measures 3 MeV protons produced in d(d,p)t fusion reactions between a fast ion and a thermal deuteron is developed. The emitted protons escape the tokamak on curved orbits and are detected. These curved orbits constitute effective diagnostic ‘sightlines’. The presented algorithm accounts for the complications associated with these curved sightlines. An initial calculation of time-reversed proton orbits computes effective solid angles and sightlines for the relevant range of incident proton velocity vectors. These precomputed orbits are then used within the framework of FIDASIM (2020Plasma Phys. Cont. Fusion62105008) to calculate the reactivity averaged over the thermal distribution of the ‘target’ deuterons and the probability that a fast ion of specified energy and pitch has a gyroangle that is consistent with the kinematic equations along each of the sightlines. Comparisons with analytic formulas and with independent calculations for the Mega Amp Spherical Tokamak 3 MeV proton diagnostic verify the algorithm.

Research Organization:: Florida International Univ. (FIU), Miami, FL (United States); Univ. of California, Irvine, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0001157; SC0019253

OSTI ID:: 1850724

Journal Information:: Plasma Physics and Controlled Fusion, Vol. 63, Issue 5; ISSN 0741-3335

Publisher:: IOP Science

Country of Publication:: United States

Language:: English

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