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Chapter
                                                          13







                              Optical System Layout















        This chapter will be devoted to the first-order optics of several typical
        optical systems. The number of systems covered here is, of necessity,
        limited, and the emphasis is placed on those fundamental principles
        which are applicable to a broad range of optical systems. The rather
        straightforward algebraic manipulations and the considerations of
        image size and position which follow are quite typical of those encoun-
        tered in the preliminary stages of optical system design. Constructional
        details of the optical components have been deliberately omitted and
        are discussed at considerable length in later chapters. Note that the
        system diagrams in this chapter show the components as simple lenses.
        These could equally well be mirrors instead of lenses, and typically are
        fairly complex assemblies of lens elements.


        13.1  Telescopes, Afocal Systems
        The primary function of a telescope is to enlarge the apparent size of
        a distant object. This is accomplished by presenting to the eye an
        image which subtends a larger angle (from the eye) than does the
        object. The magnification, or power, of a telescope is simply the ratio of
        the angle subtended by the image to the angle subtended by the
        object.* Nominally, a telescope works with both its object and image
        located at infinity; it is referred to as an afocal instrument, since it has
        no focal length. In the following material, a number of basic relation-
        ships for telescopes and afocals will be presented, all based on systems
        with both object and image located at infinity. In practice, small

          * For large angles, the magnification is the ratio of the tangents of the half-angles.

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