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This book is about the parabolic approximation to a diffraction problem over a sea surface. While the parabolic equation method in radio wave propagation over the earths surface was introduced by V.A. Fok almost fifty years ago, its popularity has grown recently due to the development of advanced computational methods based on the parabolic approximation. Numerous computational techniques have been evolved and used for analysis of radio- and acoustic wave propagation in either deterministic or random media. This book is concerned with the analytical solution to a problem of wave propagation over the sea surface in the atmospheric boundary layer. Two basic mathematical methods have been used, depending on the ease of obtaining a closed analytical solution: Expansion of the quantum-mechanical amplitude of the transition into a complete and orthogonal set of eigen functions of the continuous spectrum, and the Feynman path integral. It is not intended to provide a full step by step mathematical background to the above methods but, rather, is dedicated to the application and analysis of the physical mechanisms associated with the combined effect of scattering, diffraction and refraction. The mathematical foundations for the above methods can be found in numerous monographs and handbooks dedicated to quantum mechanics and mathematical theory.