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The first-order correction to the physical optics (PO) solution for the axial radiation field from parabolic reflector antennas is found. The correction is of order k^{-1} and is in quadrature with the PO solution. By means of the correction term the accuracy of the PO surface integral is round to be better than 0.22(\lambda/D)^{2} dB on axis, where D is the diameter of the reflector. Thus, the PO solution for the directivity is extremely accurate for commun reflector sizes of several wavelengths \lambda .
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