Abstract
The spinor formalism is applied to the diffraction of electromagnetic energy of plane apertures in the following way. It is first assumed that the diffraction pattern DFP is known in some particular plane P. Then using DFP as boundary condition, the diffraction patterns are obtained outside P because of the existence (under mild restrictions) of a unique solution to the spinor equations for a plane wave. Using this method the diffraction patterns of circular and rectangular apertures are discussed with as boundary condition the Fraunhofer diffraction in the focal plane of a lens. The approximations needed to obtain the results supplied by the Kirchhoff theory are described. A particular feature of the spinor formalism is to give the polarization changes of the electromagnetic field by diffraction.
Published Version
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