By Antonio Romano
This book—unique within the literature—provides readers with the mathematical history had to layout some of the optical combos which are utilized in astronomical telescopes and cameras. the consequences awarded within the paintings have been got through the use of a distinct method of third-order aberration conception in addition to the large use of the software program package deal Mathematica®.
The newly awarded method of third-order aberration conception followed is predicated on Fermat’s precept and using specific optical paths—not rays—termed stigmatic paths, taking into account effortless derivation of third-order formulae. This technique allows readers to appreciate and deal with the formulae required to layout optical combos with out resorting to the even more complicated Hamiltonian formalism and Seidel's relations.
Additional positive aspects and topics:
* Presentation of the third-order layout of cameras and telescopes by using Mathematica gets rid of the necessity for tedious machine calculations
* Mathematica notebooks accompanying every one optical blend analyzed within the booklet can be found for obtain at http://extra.springer.com/978-0-8176-4871-8
* dialogue and research of particular optical units: Newtonian and Cassegrain telescopes; Schmidt, Wright, Houghton, and Maksutov cameras; and different optical combos, akin to the Klevtsov telescope and the Baker–Schmidt flat-field camera
* extra supplementary fabric to be had on the publisher's website
* Many worked-out examples and exercises
Geometric Optics is a wonderful reference for complex graduate scholars, researchers, and practitioners in utilized arithmetic, engineering, astronomy, and astronomical optics. The paintings can be used as a supplementary textbook for graduate-level classes in astronomical optics, optical layout, optical engineering, programming with Mathematica, or geometric optics.
Read or Download Geometric Optics: Theory and Design of Astronomical Optical Systems Using Mathematica® PDF
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Additional info for Geometric Optics: Theory and Design of Astronomical Optical Systems Using Mathematica®
0104; D2 = 1 12 0 1 . 727. 6. In this exercise, another potential way of introducing the fundamental formulae of Gaussian optics is presented. 14 and elementary results from Euclidean geometry, we can easily obtain i = α + β, r =β−α. 76) where N and N are the refractive indices of the media before and after surface S, respectively. Moreover, if R is the radius of S, we have h α=− , z β= h , R α = h . 8. Exercises 47 Fig. 76), we obtain the Abbe invariant N N N N − = − . R z R z Finally, by applying the refraction law to the principal ray, we deduce Nθ = N θ , which can also be written in the form y zN = .
4. 518722. The aperture stop is −6, far from the lens. 0103744, P2 = 0. 518722 , whereas the translation matrix D is D= 1 8 0 1 . 0103 1 . 39. Evaluate the distance of the image z2 when z1 = −200. , 46 Chapter 2. Gaussian Optics 5. 518722; the aperture stop is situated between the second and third surfaces, and its distance from the second surface is 6. 0104; D2 = 1 12 0 1 . 727. 6. In this exercise, another potential way of introducing the fundamental formulae of Gaussian optics is presented. 14 and elementary results from Euclidean geometry, we can easily obtain i = α + β, r =β−α.
1 Wavefront Σ and Gaussian reference sphere Σg is easy to evaluate, is still an aberration function; in other words, it can be used to derive third-order monochromatic aberrations instead of Φ1 . The notebook AberrationCoeﬃcients supplies the third-order aberration coeﬃcients of all of the optical systems we consider in this book. For more complex systems containing many optical elements with ﬁnite thicknesses, Mathematica R may not be able to handle the calculations necessary to ﬁnd the ﬁnal third-order aberration coeﬃcients.