Abstract
Solutions for magnetoatmospheric waves in an isothermal plane stratified atmosphere with uniform vertical magnetic field have long been known in terms of Meijer G-functions. It is pointed out that they may alternatively be expressed using the more familiar hypergeometric 2F3 functions, with significant advantages for ease of use and physical interpretation. The nature of these solutions in different regions of the frequency-wavenumber plane is fully discussed, with particular reference to reflection, transmission, and mode conversion. Reflection, transmission, and mode conversion coefficients for slow and fast waves incident from below, including the effects of tunnelling, are calculated exactly. The exact solutions are useful in interpreting observational results and numerical simulations of more complex magnetoatmospheric waves.
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