Datadriven Uncertainty Quantification of the Wave Telescope Technique: General Equations and Demonstration Using HelioSwarm
Abstract
The upcoming NASA mission HelioSwarm will use nine spacecraft to make the first simultaneous multipoint measurements of space plasmas spanning multiple scales. Using the wave telescope technique, HelioSwarm's measurements will allow for both the calculation of the power in wavevector and frequency space and the characterization of the associated dispersion relations of waves present in the plasma at MHD and ionkinetic scales. This technique has been applied to the fourspacecraft Cluster and Magnetospheric Multiscale missions, and its effectiveness has previously been characterized in a handful of case studies. We expand this uncertainty quantification analysis to arbitrary configurations of four through nine spacecraft for threedimensional plane waves. We use Bayesian inference to learn equations that approximate the error in reconstructing the wavevector as a function of relative wavevector magnitude, spacecraft configuration shape, and number of spacecraft. We demonstrate the application of these equations to data drawn from a ninespacecraft configuration to both improve the accuracy of the technique, as well as expand the magnitudes of wavevectors that can be characterized.
 Publication:

The Astrophysical Journal Supplement Series
 Pub Date:
 May 2023
 DOI:
 10.3847/15384365/acc6c7
 arXiv:
 arXiv:2303.12907
 Bibcode:
 2023ApJS..266...12B
 Keywords:

 Plasma physics;
 Magnetic fields;
 Bayesian statistics;
 Computational methods;
 Space plasmas;
 2089;
 994;
 1900;
 1965;
 1544;
 Physics  Space Physics;
 Physics  Data Analysis;
 Statistics and Probability;
 Physics  Plasma Physics;
 Statistics  Applications
 EPrint:
 20 pages, 13 figures, 3 tables