Aberration theory made simple by Virendra N. Mahajan

By Virendra N. Mahajan

This e-book presents a transparent, concise, and constant exposition of what aberrations are, how they come up in optical imaging platforms, and the way they impact the standard of pictures shaped by means of them. The emphasis of the publication is on actual perception, challenge fixing, and numerical effects, and the textual content is meant for engineers and scientists who've a necessity and a wish for a deeper and higher realizing of aberrations and Read more...

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The concave mirror forms a real image but the convex mirror forms a virtual image. We note that whereas astigmatism is the dominant primary aberration in the case of the concave mirror, it is coma that dominates in the case of the convex mirror. Field curvature and distortion are zero in both cases, since the aperture stop lies at the mirror surface. Table 4-2 lists the Gaussian and aberration parameters for an object lying at infinity at an angle of 1 milliradian from the optical axis of the mirror.

The ray shown intersecting the axis at F' has a zone of 'a/2, where a is the radius of the aperture stop. W(r) + (n - 1)t(r) = 0. (5-2) Substituting Eq. (5-1), we find that the plate thickness is given by t(r) =r4 ( 32(n-1)f 3 5 -3) It increases from a value of zero at its center to values proportional to the fourth power of the zonal radius. In practice, a plane-parallel plate of constant thickness to would be added to it so that it can be fabricated. The shape of the plate is shown in Figure 5-2, where it is shown to slightly tilt a nonaxial ray so that, after reflection by the mirror, it passes through F.

2 Schmidt Plate Consider a spherical mirror with its aperture stop located at its center of curvature Cas shown in Figure 5-1 imaging an object lying at infinity. From Eq. (4-18), the optical path difference between a ray of zone r and the chief ray from an axial point object is given by 2 W(r) _ - 3 f3 , (5-1) where f is the focal length of the mirror. The negative sign in Eq. (5-1) implies that the optical path length of the ray under consideration to the focus F is shorter than that of the chief ray.

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