The following two kinds of researches are conducted in my laboratory: (A) electromagnetic (EM) wave theory with application to sensing, imaging and material estimate, and (B) high data rate satellite communications systems. Each research has five subjects and this paper addresses four subjects, which are (A-1) Effective parameters of a medium containing many particles, (A-2) Radar characteristics of a body surrounded by a random medium, (A-3) Statistical methods for measuring ocean waves in satellite altimetry, and (B-4) Atmospheric turbulence effects on high data rate satellite communications. Here A and B in parentheses indicate above two researches, respectively. To solve these subjects the author has proposed fundamental and original methods and thereby obtained many interesting results to scientists and engineers. General remarks are made on the results in this paper.