Impact of Three-Dimensional Hot-Spot Flow Asymmetry on Ion-Temperature Measurements in Inertial Confinement Fusion Experiments*

Three-dimensional implosion asymmetries lead to significant ion-temperature measurement variations in inertial confinement fusion experiments. We have developed an analytical method to generalize the physical properties of velocity variance in the Brysk ion temperature model. The hot-spot flow asymmetry on ion-temperature measurement variations are shown uniquely governed by a complete set of six hot-spot flow parameters in terms of variance and co-variance of the hot-spot flow velocity distribution. An approximated solution to the minimum inferred ion temperature is derived and is shown close to the thermal ion temperature for low-mode ℓ = 1, which exhibits the largest an-isotropic velocity variance in the single-mode spectrum. The isotropic velocity variance for low‑mode ℓ = 2 is shown causing minimum inferred ion temperatures well above the thermal ion temperature.