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Abstract It has been found possible to make a detailed mathematical and numerical study of the field structure at and near a line focus of a cylindrical electromagnetic wave train possessing any finite amount of cylindrical aberration of the first order. By a suitable choice of parameters all the possible wave-lengths and degrees of aberration can be expressed in terms of a single infinite integral of two independent parameters. Diagrams of the magnitude and phase of this integral are given, and only the final mathematical results are described.
T. Pearcey (Wed,) studied this question.