Diagnosing Inertial Confinement Fusion Implosions Using the D$^{3}$He Spectrum Line Width at OMEGA and the NIF

Wedge Range Filter (WRF) spectrometers are used to measure the proton spectrum due to the D+$^{3}$He $\to $ p (14.7 MeV) + $^{4}$He (3.6 MeV) reactions produced in implosions containing D and $^{3}$He gas. The line width of the measured spectrum is due to the thermal Doppler broadening, instrumental broadening, and several capsule effects such as a finite source size and implosion asymmetries. Models for these broadening sources are presented. Using these models we calculate an ion temperature in OMEGA and NIF exploding pusher shots. This Doppler-derived temperature is compared to independent measurements. Alternatively we use this model to constrain the amplitude of high-mode $\rho $R asymmetries in NIF indirect-drive CH shell implosions. This work was supported in part by the U.S. DoE, LLNL, LLE, FSC, and NLUF. A.Zylstra is supported by the DoE NNSA Stewardship Science Graduate Fellowship.