View factor estimation of hot spot velocities in inertial confinement fusion implosions at the National Ignition Facility

Inertial confinement fusion (ICF) experiments at the National Ignition Facility suffer from asymmetries in the x-ray drive, which degrade capsule performance compared to expectations for a symmetric one-dimensional implosion. Mode 1, or pole-to-pole, drive asymmetry can reduce confinement and implosion efficiency, driving a bulk motion of the hot spot that is detectable by neutron diagnostics. Understanding and removing sources of mode 1 asymmetry in ICF implosions is important for improving performance, and the three-dimensional nature of the problem makes high-resolution radiation-hydrodynamic modeling extremely computationally expensive. This work describes a reduced order view factor model that calculates the drive asymmetry induced by beam-to-beam variations in laser delivery and Hohlraum diagnostic windows along the equator. The capsule response is estimated by coupling to a Green's function that relates final hot spot velocity to the applied time-varying mode 1 asymmetry. The model makes several predictions about the impact of mode 1 drivers such as laser delivery and target misalignment and achieves good agreement in both the magnitude and the vector direction for several shots in three families of high-performance platforms. However, notable discrepancies suggest that other potential sources of mode 1 asymmetry not captured by the model are also at play.