Measuring the Magnetic Field in the Solar Corona Steven R. Spangler… University of Iowa
Why is the coronal B field of interest? Temperature of corona is 1-2 X 10 6 K Magnetic fields probably involved via DC currents or MHD waves Assessment of theories requires measurements
We know the magnetic field both below and above the corona
Below: the photosphere. Measurement of the Zeeman Effect
Above the corona: direct magnetometer measurements in the solar wind
How do we measure B in the corona itself? Zeeman measure ments here Direct measure ments out here
Radioastronomical propagation measurements Technique discussed here: Faraday rotation
Physics of Faraday Rotation: the cartoon
Physics of Faraday Rotation: equations
Physics of Faraday Rotation II
The Physics of Faraday Rotation Demonstration
The Instrument: The Very Large Array Radiotelescope Operated by the National Radio Astronomy Observatory (NRAO)
The Very Large Array
The North Liberty (Iowa) Radio Telescope
The background sources (signal generators for propagation expmts) Extragalactic radio sources EG sources provide many “drillholes” through corona
Extragalactic sources provide “constellations” of background objects Mancuso & Spangler, Astrophys. J. 539, 480, 2000
Illustration of coronal Faraday rotation: 3C79
Coronal Faraday Rotation Mancuso and Spangler, Astrophys. J. 525, 195, 1999
Measuring the Coronal Magnetic Field from a set of Faraday Rotation Measurements Adopt “forward problem” approach Specify model density function n Specify model B field Iterate to obtain optimum agreement with observations
Coronal MHD Model Mancuso & Spangler, Astrophys. J. 539, 480, 2000
Agreement of model and observed rotation measures
Turbulence A turbulent plasma will have spatially and temporally random fluctuations in plasma density and magnetic field. These will generate random fluctuations in the Faraday rotation of a source viewed through the corona
Observed fluctuations are small, but may be dynamically significant
Future work…analysis of observations in August, 2003 Approximate “tracks” of source 3C228 on August 16 & August 18
Conclusions and Summary Radio remote sensing observations can detect and quantitatively estimate the magnetic field in the solar corona. These observations can constrain the radial dependence and form of the large scale, static field The observations can also measure or limit the properties of magnetohydrodynamic turbulence in the corona Future investigations (observations being analysed, or in planning) can improve on the above results