By Virendra N. Mahajan
This publication 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 through them. The emphasis of the booklet 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 hope for a deeper and higher knowing of aberrations and their position in optical imaging and wave propagation. a few wisdom of Gaussian optics and an appreciation for aberrations will be beneficial yet isn't really required. Read more...
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Extra resources for Aberration theory made simple
The results given here form the cornerstone for imaging by more complicated systems. By making simple but appropriate changes in them, the results for a spherical mirror can be obtained immediately, as indicated in Chapter 4. As illustrated in Figure 1-6, consider a spherical refracting surface of radius of curvature R separating media of refractive indices n and n'. 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.
Note that there is no distortion term in Eq. , a thin lens with an aperture stop at the lens does not produce any distortion. The quantities p and q are called the position and shape factors of a thin lens, respectively. They are given by (2-5a) p = (2f/S) -1 (2-5b) 1-2f/S' and q = (R2 + R1) /(R2 -R1) . (2-6) Several examples of the position and shape factors are illustrated in Figures 2-2 and 2-3, respectively. Both positive and negative lenses (in the sense of the sign of their focal length) are considered in these figures.
3-3) and noting that SZ is numerically negative, the displacement PP" of the final image from the object may be written PP" = S 1 -(-SZ -t) = t(1 - 1/n) . (3-5) Thus, the image displacement is independent of the object distance S. It depends only on the thickness and the refractive index of the plate. Next, we determine the locations and magnifications of the pupils for the two surfaces of the plate. Since the aperture stop is located at the first surface, the entrance pupil EnP of the system is also located there.
Aberration theory made simple by Virendra N. Mahajan