By Virendra N. Mahajan
This ebook offers a transparent, concise, and constant exposition of what aberrations are, how they come up in optical imaging structures, and the way they impact the standard of pictures shaped via 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 knowing of aberrations and their function in optical imaging and wave propagation. a few wisdom of Gaussian optics and an appreciation for aberrations will be priceless yet isn't required. Read more...
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Extra resources for Aberration theory made simple
The thickness variations of plates with different values of b are shown in Figure 5-4. We note that the depth of material removal, starting with a plane-parallel plate, is minimum when b = -a 2/32f 3 (corresponding to c = 1 in the figure). However, we are interested in minimizing the maximum value of the angular deviation of a ray. 5). Substituting Eq. (5-7) into Eq. (5-4), we find that the angular deviation of a ray is now given by r3 yp = 8 f3 + 2br . (5-8) Its maximum value in the range 0 s r <_ a occurs either at its stationary point r = (-16f 3b13)U2 obtained by letting aye/ar = 0, or at r = a.
The line joining its vertex Vo and its center of curvature C is called the optical axis. Consider a point object P at a distance S from the vertex and at a height h from the optical axis. Let P' be its Gaus -sianmgetdcS'anheigt h'. The relationships between the distances and heights of the object and image points are given by Gaussian optics according to S S' = n R n (1-17a) f f (1-17b) , and M=. h _=_ S + R (1 -18a) _ - nS' n'S ' (1-18b) where f and f' are the left and the right focal lengths of the refracting surface and M is the transverse magnification of the image.
2-4a), we note that, for a given value of p, a, as a function of q follows a parabola with a vertex lying at (q„d,,,a,,n;,: ). For different values of p, the parabolas have the same shape but different vertices. It is evident from Eqs. (2-5) that when both an object and its image are real -1 <_p 5 1, or p 2 <_ 1 . (2-10) As indicated in Figure 2-2, the casep = -1 corresponds to an object at infinity and the image at the focal plane of the lens. Similarly, p = 1 corresponds to an object at the focal plane and the image at infinity.
Aberration theory made simple by Virendra N. Mahajan