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Abstract
It is shown that in band-limited (or visible angle limited) extrapolation the largest effective aperture L' that can be realized from a finite aperture L by over sampling is a function of the accuracy of measurements. It is shown that for sampling in the interval |x-L/2b|x<L/2, b > 1 the extrapolating series must be known within a relative error e L' (i.e. the ratio of smallest term over the dominant first term) given by ▪ where L is the physical aperture, L' is the extrapolated aperture, λ is the wavelength, L/b is the sample point closet to origin.
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