Revised Single-Spacecraft Method for Determining Wavevector k and Resolving Space-time Ambiguity
A practical method is proposed for determining the wave vector of waves from single-spacecraft measurements. This wave vector knowledge can then be used to remove the space-time ambiguity produced by frequency Doppler shift associated with spacecraft motion. The method involves applying the Wiener-Khinchin theorem to cross correlations of the current and magnetic field oscillations and to autocorrelations of the magnetic field oscillations. The method requires that each wave frequency component map to a unique wave vector, a condition presumed true in many spacecraft measurement situations. Examples validating the method are presented.
© 2016 American Geophysical Union. Received 19 APR 2016; Accepted 30 AUG 2016; Accepted article online 7 SEP 2016; Published online 22 SEP 2016. This material is based upon work supported by the U.S. Department of Energy Office of Science, Office of Fusion Energy Sciences under award DE-FG02-04ER54755 and DE-SC0010471, by the National Science Foundation under award 1348393, and by the Air Force Office of Scientific Research under award FA9550-11-1-0184. The author would like to thank A.F. Viñas for useful comments. This manuscript does not use any experimental data.
Supplemental Material - 2016JA022827-sup-0001--S_AA.pdf