Abstract

The second moment of the point spread function is related to the second derivative of the optical transfer function at the origin by the moment theorem. The second moment is the sum of a contribution of the aperture amplitude distribution, which yields a sometimes infinite term, and a term that is directly related to the wave front aberrations. In practical applications it is possible to redefine the second moment such that a quality parameter, identical to one successfully used in lens design, is obtained.

© 1979 Optical Society of America

Undersampling errors in measuring the moments of images aberrated by turbulence

Noah Bareket
Appl. Opt. 18(17) 3064-3069 (1979)

Dispersion relations in Fraunhofer diffraction

J. Sethuraman and R. S. Sirohi
J. Opt. Soc. Am. 69(6) 907-909 (1979)

Imaging in the presence of random wave aberrations

Arthur M. Schneiderman and Douglas P. Karo
J. Opt. Soc. Am. 69(5) 717-724 (1979)

Statistics of the optical transfer function: Correlated random amplitude and random phase effects

Elliot Blackman and Richard Barakat
J. Opt. Soc. Am. 69(4) 544-548 (1979)

On the Point and Line Spread Functions of Photographic Images

R. Clark Jones
J. Opt. Soc. Am. 48(12) 934-937 (1958)