On the Depth Information in the Point
نویسنده
چکیده
The Point Spread Function (PSF) of an image forming optical system is determined by the parameters of the optical system and the distance or depth of the object being imaged. In this paper we consider the depth information in the PSF of the optical system determined by paraxial wave optics under quasi-monochromatic incoherent illumination. The spread parameter of a PSF is deened as the standard deviation of the distribution of the PSF. If w is the spread parameter of the PSF of a defocused optical system corresponding to an object at distance u, then it is shown that p 2 w ? 2 0 mu ?1 + c where 2 0 ; m; and c are constants determined by the parameters of the optical system. This relation is useful in determining the distance u of the object using its defocused image. Usually, w >> 0 , and therefore the linear relation w m u ?1 + c is obtained between w and 1=u. In this paper, we also compare the PSFs determined by paraxial wave optics and paraxial geometric optics.
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