Space Science Reviews manuscript No. (will be inserted by the editor) Physics of Solar Prominences: I - Spectral Diagnostics and Non-LTE Modelling N. Labrosse · P. Heinzel · J.-C. Vial · T. Kucera · S. Parenti · S. Gun´ar · B. Schmieder · G. Kilper Received: date / Accepted: date Abstract This review paper outlines background information and covers recent ad- vances made via the analysis of spectra and images of prominence plasma and the increased sophistication of non-LTE (i.e., when there is a departure from Local Ther- modynamic Equilibrium) radiative transfer models. We first describe the spectral in- version techniques that have been used to infer the plasma parameters important for the general properties of the prominence plasma in both its cool core and the hotter prominence-corona transition region. We also review studies devoted to the observa- tion of bulk motions of the prominence plasma and to the determination of prominence mass. However, a simple inversion of spectroscopic data usually fails when the lines be- come optically thick at certain wavelengths. Therefore, complex non-LTE models be- come necessary. We thus present the basics of non-LTE radiative transfer theory and the associated multi-level radiative transfer problems. The main results of one- and two-dimensional models of the prominences and their fine-structures are presented. N. Labrosse Department of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom E-mail:
[email protected] P. Heinzel · S. Gun´ar Astronomical Institute, Academy of Sciences of the Czech Republic, Dr. Friˇce 298/1, CZ-25165 Ondˇrejov, Czech Republic J.-C.