Analysis method for calculating radial correlation length of electron temperature turbulence from correlation electron cyclotron emission radiometer

The radial correlation length (L-r) is one of the essential quantities to measure in order to more fully characterize and understand turbulence and anomalous transport in magnetic fusion plasmas. The analysis method for calculating L-r of electron temperature (T-e) turbulence from correlation electron cyclotron emission (correlation ECE or CECE) radiometer measurements has not been fully developed partly due to the fact that the turbulent electron temperature fluctuations are generally imbedded in much larger amplitude thermal noise, which leads to a greatly reduced cross correlation coefficient (rho) between two spatially separated ECE signals. This work finds that this rho reduction factor due to thermal noise is a function of the local relative temperature fluctuation power and CECE system bandwidths of intermediate and video frequencies, independent of radial separations. This indicates that under the approximation of constant relative temperature fluctuation power for a small radial range of local CECE measurements, the original shape of rho as a function of radial separation without thermal noise is preserved in the CECE data with thermal noise present. For T-e turbulence with a Gaussian radial wavenumber spectrum, a fit function using the product of Gaussian and sinusoidal functions is derived for calculating L-r. This analysis method has been numerically tested using simulated ECE radiometer data over a range of parameters. Using this method, the experimental temperature turbulence correlation length L-r in a DIII-D L-mode plasma is found to be & SIM;10 times the local ion gyroradius.