Abstract
Abstract In this paper the problem of Bragg diffraction in the Fresnel approximation is considered. The solutions of the first-order coupled-wave equations are expressed as Fresnel diffraction integrals. The amplitudes of the resulting waves are analysed as the functions of an incident field and a coefficient of transmission or diffraction. Their properties and approximate forms for a slowly varying incident field are discussed. The case of an obliquely incident Gaussian beam as an example of Bragg-Fresnel diffraction is considered. An optical system realizing the Bragg diffraction in the Fresnel approximation by means of lenses and a thin hologram is suggested.
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