Geometric Optics: Theory and Design of Astronomical Optical by Antonio Romano
By Antonio Romano
This textual content, now in its moment variation, provides the mathematical heritage had to layout many optical mixtures which are utilized in astronomical telescopes and cameras. It makes use of a unique method of third-order aberration idea in response to Fermat’s precept and using specific optical paths (called stigmatic paths) rather than rays, bearing in mind more straightforward derivation of third-order formulae. every one optical mixture analyzed is followed through a downloadable Mathematica® computing device that automates its third-order layout, removing the necessity for long calculations.
The crucial points of an optical procedure with an axis of rotational symmetry are brought first, in addition to a improvement of Gaussian optics from Fermat’s imperative. an easier method of third-order monochromatic aberrations in keeping with either Fermat’s precept and stigmatic paths is then defined, via a brand new bankruptcy on fifth-order aberrations and their class. numerous particular optical units are mentioned and analyzed, together with the Newtonian and Cassegrain telescopes; the Schmidt, Wright, Houghton, and Maksutov cameras; the Klevtsov telescope; the Baker-Schmidt flat-field digicam; the Buchroeder digital camera; and, new during this variation, the Baker-Nunn digital camera and optical combos with sub-corrector and Petzval targets. eventually, the Lagrangian and Hamiltonian formulations of geometric optics and Seidel’s third-order aberration conception are awarded, and a brand new bankruptcy considers optics in anisotropic media. a variety of diagrams, worked-out examples, and routines for additional perform of key options are incorporated in the course of the book.
Geometric Optics is a superb reference for complicated graduate scholars, researchers, and practitioners in utilized arithmetic, engineering, astronomy, and astronomical optics. it will possibly even be used as a supplementary textbook for graduate-level classes in astronomical optics, optical layout, optical engineering, programming with Mathematica®, or geometric optics.
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Extra info for Geometric Optics: Theory and Design of Astronomical Optical Systems Using Mathematica®
Sample text
In particular, these relations imply that any ray that starts from the object point y1 and is parallel to the optical axis a (α1 = 0), meets to the focal plane on a. • The ray γ p , directed towards the anterior principal point (or node), has a corresponding parallel ray that intersects with the posterior principal point (or node). 15. When the refractive indices N and N are different, it is sufficient to refer the last conclusion to the nodal points. 9 Thick and Thin Lenses In this section, we consider an optical system S of a single lens in the air (N = 1).
When the refractive indices N and N are different, it is sufficient to refer the last conclusion to the nodal points. 9 Thick and Thin Lenses In this section, we consider an optical system S of a single lens in the air (N = 1). Let P1 and P2 be the powers, respectively, of the first surface S1 and the second surface S2 of S. 88) . 89) ⎞ t ⎟ N ⎟. 90) give us the distance z p of the first principal point from the vertex of S1 and the distance z p of the second principal point from the vertex of S2 : 44 2 Gaussian Optics Fig.
93) When the thickness t can be neglected in the above formulae, we say that S is a thin lens. 93) reduce to z p = z p = 0, and respectively. 1 we derived Gaussian optics starting from a single dioptric S and requiring that all of the stigmatic paths between the object point (0, y, z) and the image point (0, M y, z ) were rays up to fourth-order terms in the variables y, X , Y , where X and Y are the coordinates of the intersection point of a ray with S. In other words, we derived Gaussian optics by requiring that Fermat’s principle were satisfied by all of the broken lines between (0, y, z) and (0, M y, z ) up to fourth-order terms in the variables y, X , Y .