Measuring Magnetic Fields in Collisionless Experiments

Magnetic field and electron density diagnostics are critical tools in the characterization of high energy density laboratory plasmas. These plasma environments are complex and the magnetic fields and electron densities often exhibit significant spatial and temporal variation leading to significant challenges in these measurements. Even the most promising technique, Zeeman splitting, faces challenges under plasma conditions where broadening due to high density and temperature is greater than the Zeeman splitting. Here we propose and describe a diagnostic based on Zeeman broadening. The Zeeman broadening diagnostic relies on measuring the widths of multiplet components simultaneously. The method does not depend on resolved lines, but rather on measuring the difference in the widths of multiplet lines. Experiments were performed at the University of Nevada, Reno, Nevada Terawatt Facility (NTF). The Zeeman broadening diagnostic gathered visible broadened multiplet spectra from laser produced plasmas, and plasmas generated from wire-arrays driven by the Zebra z-pinch pulsed power apparatus. The laser produced plasma, created by the Leopard pulsed laser (I>1014 W/cm²), evolved in an external magnetic field (B<40T) generated by current driven through a solid electrode by the Zebra current pulse. For laser produced plasmas, observation of the magnetic field radial profile showed that the external field completely diffuses into the plasma after approximately 100 ns. Further, as the plasma continues to evolve, the field profiles within the plasma develop modulations that do not map the external field profile. For the wire array experiments, radial electron density, and magnetic field, profiles were measured. Here the Zeeman splitting was not resolved and the magnetic fields were determined from the difference between the widths of the multiplet line profiles. Thus, it has been demonstrated that Zeeman broadening may be used as a magnetic field diagnostic.