Inverse methods for atmospheric sounding. Theory and practice.

*(English)*Zbl 0962.86002
Series on Atmospheric, Oceanic and Planetary Physics. 2. Singapore: World Scientific. xvi, 238 p. (2000).

This book is aimed at graduate students and at post-doctoral and other researchers who are interested in inverse problems for atmospheric measurements. In the book, the author provides a well-founded background and solution of the inverse problem. He first discusses the information content of remote measurements and the corresponding retrievals, introducing the Bayesian approach as a conceptual background for the problem. Then a formal characterisation and error analysis of a generic retrieval are introduced to show how retrievals are related to reality, and how their errors can be described. Some numerical methods for solving both linear and nonlinear problems, optimally and otherwise are presented. After a detour into related issues of Kalman filtering and assimilation of meteorological observations, both of which are concerned with the time variation of measured quantities, the forward modelling, prior information and systematic approaches to the design and validation of remote sounding data analysis systems are considered.

Reviewer: Chengshu Wang (Denver)

##### MSC:

86A22 | Inverse problems in geophysics |

86-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geophysics |

86A10 | Meteorology and atmospheric physics |

35R30 | Inverse problems for PDEs |

86-08 | Computational methods for problems pertaining to geophysics |