Exploiting the Harmonic Content of RHESSI Imaging Data

Statistics – Applications

Scientific paper

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Scientific paper

The Reuven Ramaty High Energy Solar Spectroscopic Imager (RHESSI) uses nine rotating modulation collimators (RMCs) for solar flare imaging at hard x-ray energies. Although the quasi-periodic modulation profile of an RMC contains useful information at several harmonics, all RHESSI imaging to date has been based solely on the fundamental frequency. For stronger flares, however, the higher harmonics of a modulation profile contain statistically independent information that is equivalent to that from a 'virtual' RMC with 2 or 3 times better angular resolution. This paper outlines the method by which the harmonic content can be extracted from RHESSI's time-tagged photon data. Potential applications include: improving angular resolution by a factor of 2 to 3; measurement of intermediate spatial frequencies (u,v points) to improve visibility-based imaging and parametric fitting; better image quality by reducing the residual difference between the observed modulation profiles and those predicted from trial images in iterative algorithms; and a new technique for cross calibration among the RMCs. Statistical limitations will also be discussed.

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