Relationship between the Sine-Wave Response and the Distribution of Energy in the Optical Image of a Line

Abstract

The method of obtaining the sine-wave response of a lens, both theoretically and experimentally, is described, and it is shown that the line spread-function can be derived from the sine-wave response alone if the spread function is symmetrical. If the spread-function is not symmetrical, it can be computed from the sine-wave response only when the phase function is also known, and an experimental method of obtaining this function is described. The mathematical procedure for the reciprocal inversion of the spread-function and the sine-wave response is confirmed experimentally.

© 1958 Optical Society of America

Measurement of Sine-Wave Response of a Photographic Emulsion*

Robert L. Lamberts
J. Opt. Soc. Am. 49(5) 425-428 (1959)

Sine-Wave Response of the Visual System. I. The Mach Phenomenon*

E. M. Lowry and J. J. DePalma
J. Opt. Soc. Am. 51(7) 740-746 (1961)

Sine-Wave Response of the Visual System. II. Sine-Wave and Square-Wave Contrast Sensitivity*†

J. J. Depalma and E. M. Lowry
J. Opt. Soc. Am. 52(3) 328-335 (1962)

The Specification of Imaging Properties by Response to a Sine Wave Input

John W. Coltman
J. Opt. Soc. Am. 44(6) 468-471 (1954)

Investigation of the Influence of Apodization on the Sine Wave Response of Photographic Lenses

I. O. Tannhäuser
Appl. Opt. 4(6) 731-736 (1965)