Download Matrix Methods for Optical Layout by Gerhard Kloos PDF

By Gerhard Kloos

This publication is meant to familiarize the reader with the strategy of Gaussian matrices and a few similar instruments of optical layout. The matrix procedure offers a way to check an optical method within the paraxial approximation. this article comprises new effects equivalent to theorems at the layout of variable optics, on integrating rods, at the optical structure of prism units, and so on. the implications are derived in a step by step means in order that the reader may perhaps follow the equipment provided the following to solve layout issues of ease.

Contents

- Preface
- An advent to instruments and Concepts
- Optical Components
- Sensitivities and Tolerances
- Anamorphic Optics
- Optical Systems
- Outlook
- Bibliography

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Sample text

22) z we are looking for in the 1 −1 . n Because the term in brackets is generally negative, the shift value as is expected from Fig. 6. 2 Prisms Prisms have a vast range of applications in several fields of optics. In optical spectroscopy, for example, an important branch of science, prisms serve both as dispersive means (Demtröder, 1999) and as components for beam shaping. In optical data storage technology, prisms are also used for beam shaping purposes, namely, to circularize the asymmetric beam emitted by a semiconductor laser (Marchant, 1990).

The distances involved are first designated by g and b. 5) . After performing the matrix multiplications, we have S= 1 + 2 fb g f 2 b f f − 1 − 2 fg 2 2g + 2b − 4 bg + 2 gf f −1 2 fg b f −1 +1− b f −1 2 fb . 6) We know that letting b = f makes the arrangement work as a cat’s-eye retroreflector. It is instructive to see what happens if we choose the entrance and exit planes of the system either at the position of the lens or at a distance f in front of it. The first alternative corresponds to setting g = 0 and the second one to letting g = f .

It is beyond the scope of this book to derive the method here, and interested readers are referred to Herzberger’s work. In optical design, Gaussian brackets were applied to the layout of zoom systems (Pegis and Peck, 1962; Tanaka, 1979, 1982). 1 Components Based on Reflection Mirrors are a key component of many optical devices. The matrix for the reflection at a spherical mirror was considered in the introductory chapter. We will now discuss reflectors more generally. 1 Plane mirror The matrix describing the reflection at a plane mirror can be obtained by taking the matrix for reflection at a spherical reflector and letting the radius of the spherical mirror tend to infinity.

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