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In the search for extremely reliable electromagnetic communication to submerged submarines, the question arose, * "What is the effect of the roughness and irregularity of the sea surface on the propagation of electromagnetic waves?" The purpose of this investigation is to obtain an engineering-understanding of the effect of the rough air-sea interface on electromagnetic signals used in communication to sub-merged submarines. The frequency of the electromagnetic wave is restricted to the3 ELF or VLF range. In the initial part of the investi-gaticin, the sea surface is assumed to.be a two-dimensional (constant in one variable or direction) sinusoidal surface; later a doubly,(three.-dimensional) sinusoidal surface is considered. The source of electromagnetic energy is assumed-to be a plane wave with arbitrary direction of propagation and: polarization