OCULAR DEFOCUS, SPURIOUS RESOLUTION AND CONTRAST REVERSAL *

Abstract With the increasing popularity of periodic gratings in vision research, the effects of ocular defocus, such as spurious resolution and the presence of more than one maximum in the contrast–defocus level function, are very important. Optical transfer function theory is used to develop graphs and formulae that can be used to predict the presence of spurious resolution for given levels of defocus and spatial frequency in any aberration‐free optical system. Geometrical optical approximations are used extensively, as these lead to very simple formulae, These general equations, applying to any optical system, are extended to the particular case of ocular defocus. Formulae are presented that can be used 10 predict the presence of spurious resolution, in terms of such variables as pupil size and longitudinal focus error. Conditions for the observation of spuriously resolved gratings are also discussed. An example is presented for observing spurious resolution and contrast reversal and this example can be presented as a “pseudo” visual illusion.

[1]  D. Mackay Moving Visual Images produced by Regular Stationary Patterns , 1958, Nature.

[2]  F. W. Campbell,et al.  Effect of Focus on the Visual Response to a Sinusoidally Modulated Spatial Stimulus , 1965 .

[3]  D. G. Green,et al.  Optical and retinal factors affecting visual resolution. , 1965, The Journal of physiology.

[4]  H. H. Hopkins The frequency response of a defocused optical system , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[5]  G. Wald,et al.  The change in refractive power of the human eye in dim and bright light. , 1947, Journal of the Optical Society of America.

[6]  W. Charman,et al.  The optical quality of the monochromatic retinal image as a function of focus. , 1976, The British journal of physiological optics.

[7]  D. Mackay Moving visual images produced by regular stationary patterns. , 1958 .

[8]  D. A. Owens A comparison of accommodative responsiveness and contrast sensitivity for sinusoidal gratings , 1980, Vision Research.

[9]  L Levi.,et al.  Handbook of tables of functions for applied optics , 1974 .

[10]  R. Tousey,et al.  The spherical aberration of the eye. , 1949, Journal of the Optical Society of America.

[11]  W. N. Charman,et al.  Spatial Frequency and the Dynamics of the Accommodation Response , 1979 .

[12]  Harold Metcalf Stiles-Crawford Apodization , 1965 .

[13]  J. Ross,et al.  Phase and detection of compound gratings , 1980, Vision Research.

[14]  Gerald Westheimer,et al.  Optical Properties of Vertebrate Eyes , 1972 .

[15]  G Westheimer,et al.  Pupil size and visual resolution. , 1964, Vision research.

[16]  W. N. Charman,et al.  Dependence of accommodation response on the spatial frequency spectrum of the observed object , 1977, Vision Research.

[17]  Geometrical-optical Treatment of Frequency Response , 1957 .

[18]  D. Mackay,et al.  Interaction of stabilized retinal patterns with spatial visual noise , 1979, Vision Research.

[19]  A. van Meeteren,et al.  Calculations on the Optical Modulation Transfer Function of the Human Eye for White Light , 1974 .

[20]  John Macdonald The Calculation of the Optical Transfer Function , 1971 .