The theory developed in this report makes possible the grouping together of whole families of theoretical apertures, insofar as certain gross properties of their fields are concerned. The information obtained is sufficient to give an upper limit to the radiation intensity at distances from the aperture between infinity and one or two times the largest semi-diameter.nNumerical results have been obtained, and presented in graphical form, for the following cases:n(1) Circularly symmetrical aperture with illumination tapered in various ways,n(2) Elliptical aperture with uniform illumination" and several different eccentricities,n(3) Rectangular aperture with illumination function separable in the aperture coordinates and any combination of a number of different tapers on the two axes.
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