A new method for identifying toroidal mode numbers in Mirnov data from toroidal plasmas has been found, and benchmarked with simulated and real data from the JET tokamak. Embodied in the SparSpec code, and originally developed for the analysis of unevenly time-sampled astronomical data, this new method fits signals which are unevenly sampled in the toroidal coordinate to a sum of an arbitrarily large number of toroidal modes with integer mode numbers. The method has proven to be extremely robust, and is especially useful for resolving the amplitudes and phases of multiple Alfvén eigenmodes (AEs) which are ringing with the same or nearly the same frequency. The great efficiency with which the SparSpec method detects multiple modes in large datasets suggests that it may be used in real-time applications such as resistive wall mode or tearing mode control, among others. Examples involving unstable AEs as well as stable AEs, (excited by an array of external antennas) in the JET tokamak are used to illustrate the efficacy of the method. Some additional general considerations regarding optimized spatial sampling strategies are also briefly addressed.(Some figures in this article are in colour only in the electronic version)
BackgroundAnalysis of magnetic fluctuations external to toroidal plasmas is important for understanding the magneto-hydrodynamic (MHD) properties of the plasma, among other things. These properties affect nearly all aspects of behavior of magnetic confinement, and thus are of interest in topics ranging from gross global plasma stability, control and disruption avoidance to the 5