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2022 | Buch

Hard X-Ray Imaging of Solar Flares

verfasst von: Michele Piana, A. Gordon Emslie, Anna Maria Massone, Brian R. Dennis

Verlag: Springer International Publishing

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Über dieses Buch

The idea for this text emerged over several years as the authors participated in research projects related to analysis of data from NASA's RHESSI Small Explorer mission. The data produced over the operational lifetime of this mission inspired many investigations related to a specific science question: the when, where, and how of electron acceleration during solar flares in the stressed magnetic environment of the active Sun.
A vital key to unlocking this science problem is the ability to produce high-quality images of hard X-rays produced by bremsstrahlung radiation from electrons accelerated during a solar flare. The only practical way to do this within the technological and budgetary limitations of the RHESSI era was to opt for indirect modalities in which imaging information is encoded as a set of two-dimensional spatial Fourier components.
Radio astronomers had employed Fourier imaging for many years. However, differently than for radio astronomy, X-ray images produced by RHESSI had to be constructed from a very limited number of sparsely distributed and very noisy Fourier components. Further, Fourier imaging is hardly intuitive, and extensive validation of the methods was necessary to ensure that they produced images with sufficient accuracy and fidelity for scientific applications.
This book summarizes the results of this development of imaging techniques specifically designed for this form of data. It covers a set of published works that span over two decades, during which various imaging methods were introduced, validated, and applied to observations. Also considering that a new Fourier-based telescope, STIX, is now entering its nominal phase on-board the ESA Solar Orbiter, it became more and more apparent to the authors that it would be a good idea to put together a compendium of these imaging methods and their applications. Hence the book you are now reading.

Inhaltsverzeichnis

Frontmatter
Chapter 1. Hard X-Ray Emission in Solar Flares
Abstract
In this chapter we provide an overview of the solar flare phenomenon with particular emphasis on aspects that can be best investigated through X-ray imaging. Studied for well over a century and a half, the observational manifestations of a solar flare are relatively well cataloged, and its essential nature—the explosive release of energy stored in current-carrying magnetic fields in the outer solar atmosphere—is generally accepted. However, the processes through which this stored energy is converted into the three energetically most important products—hot plasma, erupting material, and accelerated particles (both electrons and ions)—are still poorly understood. High-energy (“hard”) X-ray emission provides important information on the accelerated electrons, and the acquisition of imaging spectroscopy information on these hard X-rays is a key element in determining the spatial, temporal, and spectral properties of the electrons, and so to ultimately solving the puzzle of solar flare initiation and development.
Michele Piana, A. Gordon Emslie, Anna Maria Massone, Brian R. Dennis
Chapter 2. X-Ray Imaging Methods
Abstract
Imaging in X-rays is inherently challenging because X-ray wavelengths are comparable to atomic dimensions (or, equivalently, X-ray photon energies are comparable to the binding energies of electrons in atoms), so that a ray-based focusing optics approach is not generally tenable. This problem becomes more acute at the shorter wavelengths corresponding to hard X-ray energies. In this chapter various X-ray imaging methods are described, from the basic medical technique using a single point source of X-rays to image body parts, to the techniques used in solar physics and astrophysics to image the X-ray sources themselves. X-rays interact with matter through both their wave and particle properties; the principal processes involved are absorption, scattering, reflection, refraction, and diffraction. Techniques are described that use these different forms of the interaction of X-rays with matter to obtain images of sources of astrophysical interest. Examples are provided of X-ray telescope designs to achieve the highest sensitivity, angular resolution, and dynamic range over hard X-ray energies ranging from 10 keV to 1 MeV.
Michele Piana, A. Gordon Emslie, Anna Maria Massone, Brian R. Dennis
Chapter 3. RHESSI and STIX
Abstract
In this chapter we describe the design features of the RHESSI and STIX instruments, both of which use bi-grid modulation collimators pointed at the Sun to obtain information that can be used to make X-ray images. The difference is that RHESSI is on a rapidly rotating spacecraft while STIX is on a 3-axis stabilized spacecraft. We describe the manner in which imaging information is encoded by the bi-grid collimators and the strengths and limitations of the two imaging concepts necessitated by the different spacecraft motions. We also describe the software that has been developed to transform the raw data collected into higher-level products useful for scientific studies. We illustrate the power of such imaging techniques using an example solar flare.
Michele Piana, A. Gordon Emslie, Anna Maria Massone, Brian R. Dennis
Chapter 4. Image Reconstruction Methods
Abstract
In this chapter we discuss the mathematical essence of the problem of reconstructing a two-dimensional image from data that does not conform to a straightforward “pixel-by-pixel” approach to the imaging process. Early on, we point out that the reconstruction of images from such data is plagued by several problems: (1) a formal solution may not exist at all, (2) solutions that are obtained may not be unique, and (3) the reconstructed images are subject to considerable uncertainty in the presence of data noise and uncertainties in the instrument parameters. In the next chapters, various methods to mitigate these issues in a physical context are described; each method is typically characterized by a parameter or set of parameters that is selected by the user in order to produce desirable properties of the reconstructed image or to optimize a reconstructed image according to some defined norm.
Michele Piana, A. Gordon Emslie, Anna Maria Massone, Brian R. Dennis
Chapter 5. Count-Based Imaging Methods
Abstract
Analysis of the RHESSI and STIX data requires some novel tools, all tailored to, and indeed in many cases optimized for, the construction of an image from a sparse set of relatively noisy Fourier components obtained using either the temporally modulated count rates measured with RHESSI or the Moiré patterns measured with STIX. The raw data from both instruments used for all of the image reconstruction algorithms to be discussed in this chapter consist of count rates accumulated into a relatively large number (∼ 103 − 106) of short time bins of ∼0.5–100 ms each. The essence of many of these image reconstruction methods has been described by Hurford et al. (Solar Phys 210:61–86, 2002) for RHESSI and by Massa et al. (Astron Astrophys 624:A130, 2019) for STIX. Here we discuss several of them in some detail, and we add a discussion of methods that have been developed more recently. Example applications using solar flare data are presented.
Michele Piana, A. Gordon Emslie, Anna Maria Massone, Brian R. Dennis
Chapter 6. Visibility-Based Imaging Methods
Abstract
As emphasized in many places above, RHESSI and STIX are “Fourier imagers”—the native form of the data is a set of spatial Fourier components, deduced from analysis of either the temporal modulation of the detector count rates as the spacecraft rotates (in the case of RHESSI) or the sets of Moiré patterns (in the case of STIX). In this Chapter we formalize this concept through the definition of “visibilities”—components of the spatial Fourier transform of the source image at spatial frequencies sampled by the instrument. We then proceed to discuss a variety of image reconstruction algorithms that are optimized to a dataset that consists of a sparse number of measured visibilities, and we compare their strengths and limitations. Finally, we discuss an ingenious method that inverts the order of the spatial and spectral inversion processes in proceeding from count-based visibilities to images of the mean source electron spectrum, first by spectrally inverting the count-based visibilities to obtain the visibility values associated with the electron flux spectrum, and then performing the spatial Fourier-based inversion to obtain images of the mean source electron spectrum. By virtue of the manner in which they are constructed, such images vary sufficiently smoothly with electron energy E to permit application to flare studies, discussed in the next chapter.
Michele Piana, A. Gordon Emslie, Anna Maria Massone, Brian R. Dennis
Chapter 7. Application to Solar Flares
Abstract
In this chapter we apply the algorithms discussed in the previous chapters to selected solar flare events and discuss the physical implications of the results obtained. These investigations have a wide scope and include the following topics:
  • The number and physical nature of hard X-ray sources in flares;
  • Properties of the region in which the accelerated electrons are produced;
  • Energy loss processes affecting accelerated electrons;
  • Energetics of accelerated electrons and heated plasma and their contribution to the global energy budget of a solar eruptive event.
Michele Piana, A. Gordon Emslie, Anna Maria Massone, Brian R. Dennis
Chapter 8. Future Possibilities
Abstract
In this concluding chapter we present a brief synopsis of the future for hard X-ray imaging of solar flares, using both instruments that are currently operational and those proposed for future deployment.
Michele Piana, A. Gordon Emslie, Anna Maria Massone, Brian R. Dennis
Backmatter
Metadaten
Titel
Hard X-Ray Imaging of Solar Flares
verfasst von
Michele Piana
A. Gordon Emslie
Anna Maria Massone
Brian R. Dennis
Copyright-Jahr
2022
Electronic ISBN
978-3-030-87277-9
Print ISBN
978-3-030-87276-2
DOI
https://doi.org/10.1007/978-3-030-87277-9