chapter 5, Optical Systems

from: Matrix Methods for Optical Layout

Author(s): Gerhard Kloos

Published: 21 August 2007

Chapter DOI: 10.1117/3.737850.ch5

Chapter Page Count: 33 pages

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Front Matter

1. An Introduction to Tools and Concepts

2. Optical Components

3. Sensitivities and Tolerances

4. Anamorphic Optics

5. Optical Systems

6. Outlook

Back Matter

Preview

Chapter Contents

5.1 Single-Pass Optics
5.1.1 Triplet synthesis
5.1.2 Fourier transform objectives and 4f arrangements
5.1.3 Telecentric lenses
5.1.4 Concatenated matrices for systems of n lenses
5.1.5 Dyson optics
5.1.6 Variable single-pass optics
5.2 Double-Pass Optics
5.2.1 Autocollimator
5.3 Multiple-Pass Optics
5.4 Systems with a Divided Optical Path
5.4.1 Fizeau interferometer
5.4.2 Michelson interferometer
5.4.3 Dyson interferometer
5.5 Nested Ray Tracing

Excerpt

5.1 Single-Pass Optics

5.1.1 Triplet synthesis

A triplet is a system of three lenses. In a straightforward way, one might derive the matrix of a three-lens arrangement by concatenating the matrices of thin lenses and air spacings as

The matrix obtained in this way has the disadvantage of being relatively lengthy, i.e.,

with

Again, it is advantageous for the discussion to reference the spacings that intervene to the focal planes of the lenses. We saw already that this facilitated the discussion of the doublet,

With this prerequisite, we can now state the design approaches for a focusing triplet, an imaging triplet, an afocal triplet, or a collimating triplet. Making reference to the consideration on the matrix entries, we can state the points of departure for the triplet synthesis in these four cases.

DOI: 10.1117/3.737850.ch5

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