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This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact

Science: general issues --- Astronomy, space & time --- solar physics --- MHD waves --- solar corona --- solar coronal seismology --- coronal heating

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The book deals with Ultra-Low-Frequency (ULF)-electromagnetic waves observed on Earth and in Space. These are so-called geomagnetic variations or pulsations. Alfvén's discovery related to the influence of the strong magnetic field on the conducting fluids (magnetohydrodynamics) led to development of the concept that the ULF-waves are magnetospheric magnetohydrodynamic (MHD)-waves. MHD-waves at their propagation gather information about the magnetosphere, ionosphere, and the ground. There are two applied aspects based on using the ULF electromagnetic oscillations. The first one is the ground-based diagnostics of the magnetosphere. This is an attempt to monitor in the real time the magnetosphere size, distance to the last closed field-lines, distribution of the cold plasma, etc. The second one is the deep electromagnetic sounding of the Earth. The basis for these studies is the capability of any electromagnetic wave to penetrate a conductor to a finite depth. The ULF-waves can reach the depth of a few hundred kilometers. Thus, geophysicists now have a unique tool that can be applied to study the solid Earth as well as its gas-plasma shells - the ionosphere and magnetosphere. This book integrates topics pertaining to all scales of the MHD-waves, emphasizing the linkages between the ULF-waves below the ionosphere on the ground and magnetospheric MHD-waves. It will be most helpful to graduate and post-graduate students, familiar with advanced calculus, who study the science of MHD-waves in the magnetosphere and ionosphere.

Magnetohydrodynamic waves. --- Magnetosphere. --- Ionosphere. --- Heaviside layer --- Kennelly-Heaviside layer --- Atmosphere, Upper --- Alfvén waves --- Alvén waves --- Hydromagnetic waves --- MHD waves --- Magnetohydrodynamics --- Plasma waves --- Space plasmas --- Upper atmosphere

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This volume presents a full mathematical exposition of the growing field of coronal seismology which will prove invaluable for graduate students and researchers alike. Roberts' detailed and original research draws upon the principles of fluid mechanics and electromagnetism, as well as observations from the TRACE and SDO spacecraft and key results in solar wave theory. The unique challenges posed by the extreme conditions of the Sun's atmosphere, which often frustrate attempts to develop a comprehensive theory, are tackled with rigour and precision; complex models of sunspots, coronal loops and prominences are presented, based on a magnetohydrodynamic (MHD) view of the solar atmosphere, and making use of Faraday's concept of magnetic flux tubes to analyse oscillatory phenomena. The rapid rate of progress in coronal seismology makes this essential reading for those hoping to gain a deeper understanding of the field.

Helioseismology. --- Magnetohydrodynamic waves. --- Fluid dynamics. --- Solar atmosphere. --- Electromagnetism. --- Héliosismologie. --- Fluides, Dynamique des. --- Soleil --- Électromagnétisme. --- Atmosphère. --- Helioseismology --- Magnetohydrodynamic waves --- Fluid dynamics --- Solar atmosphere --- Electromagnetism --- Electromagnetics --- Magnetic induction --- Magnetism --- Metamaterials --- Atmosphere, Solar --- Heliosphere (Astrophysics) --- Stars --- Dynamics --- Fluid mechanics --- Alfvén waves --- Alvén waves --- Hydromagnetic waves --- MHD waves --- Magnetohydrodynamics --- Plasma waves --- Space plasmas --- Solar dynamics --- Solar seismology --- Astroseismology --- Atmospheres --- Dynamique des fluides. --- Héliosismologie. --- Électromagnétisme. --- Atmosphère.