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C. A. Frank

Publications and source records attributed to C. A. Frank.

2 recordsLinked to original sources

Spherical compression of an applied magnetic field in inertial confinement fusion

Applying an external magnetic field to laser-driven inertial confinement fusion implosions is a promising approach for enhancing fusion yield. The field is compressed with the plasma, producing a magnetized hotspot that anisotropically suppresses thermal losses and traps alpha particles, making performance sensitive to the compressed field orientation. We derive a simple, readily applicable analytic model that enables rapid evaluation of the compressed field topology and show that ablation into the hotspot amplifies the central field, while the ablated ice near the hotspot edge develops a decaying, radially bent field, with a discontinuity in the field direction. The radially bent field renders thermal insulation at the hotspot edge negligible and largely independent of the applied field strength, whereas insulation in the hotspot core still depends strongly on the applied field. Applying the model to non-axial initial field configurations, we find that an initially applied mirror field provides the greatest suppression, followed by the standard axial field.

physics.plasm-ph

Hot-spot model for inertial confinement fusion implosions with an applied magnetic field

Imposing a magnetic field on inertial confinement fusion (ICF) implosions magnetizes the electrons in the compressed fuel; this suppresses thermal losses which increases temperature and fusion yield. Indirect-drive experiments at the National Ignition Facility (NIF) with 12 T and 26 T applied magnetic fields demonstrate up to $40\%$ increase in temperature, 3x increase in fusion yield, and indicate that magnetization alters the radial temperature profile [J.D. Moody $\mathrm{\textit{et al.}}$, Phys. Rev. Lett. $\mathrm{\textbf{129}}$, 195002 (2022), B. Lahmann et al., APS DPP 2022]. In this work, we develop a semi-analytic hot-spot model which accounts for the 2D Braginskii anisotropic heat flow due to an applied axial magnetic field. Firstly, we show that hot-spot magnetization alters the radial temperature profile, increasing the central peakedness which is most pronounced for moderately magnetized implosions (with 8-14 T applied field), compared to both unmagnetized (with no applied field) and highly magnetized (with 26 T or higher applied field) implosions. This model explains the trend in the experimental data which finds a similarly altered temperature profile in the 12 T experiment. Next, we derive the hot-spot model for gas-filled (Symcap) implosions, accounting for the effects of magnetization on the thermal conduction and in changing the radial temperature (and density) profiles. Using this model, we compute predicted central temperature amplification and yield enhancement scaling with the applied magnetic field. The central temperature fits the experimental data accurately, and the discrepancy in the yield suggests a systematic (independent of applied field) degradation such as mix, and additional degradation in the reference unmagnetized shot such as reduced laser drive, increased implosion asymmetry, or the magnetic field suppressing ablator mixing into the hot-spot.

physics.plasm-ph