Theoretical studies and data analysis of wave propagation in random media

The objective of this work was to develop a general theoretical framework for calculating fluctuations of signals on waves propagated through random media (WPRM) and to apply this framework to sound through the ocean; light through the atmosphere; radio waves through the ionosphere, solar wind, or interstellar plasma; and any other similar case of waves propagating through continuous media. Comparison with real data is an important aspect of the effort. The two most common signals sent on a carrier are the phase and amplitude of a nearly monochromatic wave. If enough bandwidth is available, one can send a pulse, and one can speak of the intensity and arrival time of that pulse. The technical problem is then to explain the statistical behavior of the intensity and arrival time in terms of medium fluctuations, where the medium is described statistically, usually by a power spectrum covering a large dynamic range of scales.