Journal of the Optical Society of America · 1966 · 36 citations · 5 references
Natural SciencesPhysicsOptical MaterialsOpticsPropagationDiffractionFourier AnalysisFourier OpticsPhysical OpticsWave DiffractionWave OpticsAperture DiffractionBeam DiffractionConvolutionConvolution In Optical SystemsDiffraction TheoryFresnel DiffractionOptical PhenomenaReciprocal Space
A convolution formulation of Fresnel diffraction is presented. The authors express the diffracted amplitude and Fresnel transforms as convolutions in direct or reciprocal space, using parabolic wavefront approximations and neglecting the obliquity factor. The formulation is applicable to many optical phenomena, and two illustrative examples are provided.
A convolution formulation of Fresnel diffraction is presented. The diffracted amplitude is expressed as a convolution in either direct or reciprocal space. Approximations involve the use of parabolic wavefronts and the omission of the obliquity factor. The formulation is readily applied to many optical phenomena.A theory of Fresnel transforms is given. The Fresnel transforms are expressed as a convolution in either direct or reciprocal space. Two examples of their use are given.
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