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Bispectral diffraction imagery. I. The bispectral optical transfer function

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Abstract

An integral representation of the bispectral optical transfer function, 〈T(α1)T(α2)T(−α1α2)〉, has been obtained in terms of the spatially random wave-front aberrations induced by the turbulent atmosphere and the deterministic wave-front aberrations of an optical system with an exit pupil in the shape of a slit (narrow rectangular aperture). Representative numerical calculations have been carried out for focused and defocused nonaberrated optical systems as well as for systems suffering from third-order coma. The phase of the bispectral transfer function is identically zero for the former cases but not for the latter case. The resultant contour plots of equal phase are shown and discussed.

© 1987 Optical Society of America

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