Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 General Principles
- 2 Waves in a Uniform Medium
- 3 Magnetically Structured Atmospheres
- 4 Surface Waves
- 5 Magnetic Slabs
- 6 Magnetic Flux Tubes
- 7 The Twisted Magnetic Flux Tube
- 8 Connection Formulas
- 9 Gravitational Effects
- 10 Thin Flux Tubes: The Sausage Mode
- 11 Thin Flux Tubes: The Kink Mode
- 12 Damping
- 13 Nonlinear Aspects
- 14 Solar Applications of MHD Wave Theory
- References
- Index
5 - Magnetic Slabs
Published online by Cambridge University Press: 15 July 2019
- Frontmatter
- Dedication
- Contents
- Preface
- 1 General Principles
- 2 Waves in a Uniform Medium
- 3 Magnetically Structured Atmospheres
- 4 Surface Waves
- 5 Magnetic Slabs
- 6 Magnetic Flux Tubes
- 7 The Twisted Magnetic Flux Tube
- 8 Connection Formulas
- 9 Gravitational Effects
- 10 Thin Flux Tubes: The Sausage Mode
- 11 Thin Flux Tubes: The Kink Mode
- 12 Damping
- 13 Nonlinear Aspects
- 14 Solar Applications of MHD Wave Theory
- References
- Index
Summary
The differential equations in Cartesian geometry are solved for the magnetoacoustic waves in a magnetic slab. The case of a field-free environment is also investigated as is the $\beta = 0$ plasma. Sausage and kink waves arise and their properties are described. The notion of surface waves and body waves is introduced. Dispersion diagrams are displayed under two sets of conditions, the photospheric medium and the coronal medium. Impulsive waves are examined. Also, waves in smoothly varying profiles are explored, especially the Epstein profile. Cutoff frequencies are obtained for a range of profiles.
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- MHD Waves in the Solar Atmosphere , pp. 102 - 138Publisher: Cambridge University PressPrint publication year: 2019