First Measurements of Multi-scale Density Fluctuations and \textbf{\textit{E}}x\textbf{\textit{B}} Velocity via Doppler Backscattering in the C-2W Field-Reversed Configuration

An advanced multi-channel combined Doppler Backscattering (DBS) diagnostic has been installed at the C-2W Field-Reversed Configuration (FRC) device. First measurements of intermediate wavenumber density fluctuations 2$\le k_{\mathrm{tor}}\rho_{\mathrm{s}}\le $10 and \textbf{\textit{E}}x\textbf{\textit{B}} velocity in the FRC core plasma (outside the null field region) and in the scrape-off layer are presented. Plans and preparations for the first tests of Cross Polarization Scattering [1] (CPS, for the measurement of perpendicular magnetic field fluctuations from the DBS scattering volume) are also discussed. GENRAY ray tracing predicts that magnetic fluctuations with 2$\le k_{\mathrm{tor}}\rho _{\mathrm{s}}\le $ 30 can be accessed in the FRC core and scrape-off layer (SOL). DBS data from the previous C-2U FRC experiment [2] already show the absence of ion-scale density turbulence in the FRC core. Global gyrokinetic simulations attribute core stability to Finite Larmor radius effects, short fieldline connection length, and favorable magnetic field gradient. In contrast, multi-scale turbulence including short-scale electron modes has been observed in C-2U via DBS in the mirror-confined SOL plasma, also in agreement with global gyrokinetic simulations which predict unstable drift-interchange modes for $k_{\mathrm{tor}}\rho_{\mathrm{s}}\ge $1.5. [1] X.L. Zou et al., Phys. Rev. Lett. 75 1090-93 (1991); [2] L. Schmitz et al., Nature Comm. 7 13860 (2016).