Aberration theory made simple by Virendra N. Mahajan

By Virendra N. Mahajan

This e-book 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 figuring out of aberrations and Read more...

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Since f = 15 cm, Eq. 50 cm, corresponding to a nearly piano-convex lens with its convex side facing the incident light. For a lens of diameter 2 cm, the peak value of spherical aberration, according to Eqs. 79 µm. The other primary aberrations of the focused beam can be obtained from Eqs. (2-3) and (2-4). 1 µm. A thin lens with aperture stop located at the lens does not produce any distortion. It maybe noted that if the lens is turned around so that its (relatively) planar side faces the incident light, its focal length does not change.

5, Eqs. (2-4b) and (2-13) reduce to a^ = 6f2S'(4p + ) and (2-14) CHAPTER 2. 8p , (2-15) respectively. 8) are approximately equal to each other. Thus, a lens designed for zero coma for parallel incident light will have practically the minimum amount of spherical aberration. It is also possible to design and combine two thin lenses such that the spherical aberration and coma of one cancel the corresponding aberrations of the other, as illustrated by a numerical example in the next section. 5 focusing a parallel beam of light at a distance of 15 cm from it with minimum spherical aberration.

Since m1 and M2 are both unity, (r, , 0,) _ (r2 , 8 2) and h 2' = hj = h, respectively. Hence, following Eq. (1-29), the aberration of the planeparallel plate at a point (r,8) in the plane of its exit pupil can be written W(r, 8, h) = WI (r, O, h) + W2(r, 0, h) . (3-12) Substituting Eqs. (3-8) and (3-10) into Eq. (3-12), we may write the primary aberration function W(r, 0; h) = a,(r ° - 4hr l cos0 + 4h2r 2 cos 2 0 + 2h 2r 2 - 4h 3r cos0) , (3-13) where (3-14) as = a51 + (Sz /L2)4as2 . Substituting Eqs.

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