Abstract

The optical transfer function is expressed by a power series with generated moments having line-spread functions as coefficients. Since individual terms of the series diverge to plus or minus infinity as the spatial frequency increases, the power-series expansion is replaced by a summation of gaussian distributions and higher-order Rayleigh–gaussian terms. Unlike the first expansion, individual terms in the new expansion converge as the spatial frequency increases. Relations between these two expansions are derived. In addition, a simple experiment is described to measure the moments mn, which makes use of photographic masks. Equations representing the masks are also derived.

© 1968 Optical Society of America

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Equations (33)

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