By Wang Q., Xu J., Xie R.-H.

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TYPES OF IMAGE-FORMATION The various types of image-formation when the object is real are shown graphically in Figs. 7 to 9. In the last two of these, the construction has been carried out with the minimum number of rays. 54 A. G. BENNETT AND J. L. FRANCIS 1. CONCAVE MIRROR: OBJECT BEYOND F ' The image is real and inverted. It may be larger or smaller than the object, depending on whether the latter is within or beyond the centre of curvature of the surface (Fig. 7). 2. CONCAVE MIRROR: OBJECT WITHIN F ' The image is virtual, erect, and enlarged (Fig.

Figure 16, in which the letters have the same meanings as in the previous diagrams, shows the image F'Q' of an infinitely distant object situated on the optical axis and subtending an angle ω. This means that all the incident rays from the upper extremity Q of the object make the same angle ω with FIG. 16. Image of an object at infinity. the reference axis. We need only consider the ray through F, the first principal focus, meeting the construction line YY at G. By definition, this ray proceeds parallel to the axis after refraction.

Prismatic Effect of Spherical Lenses A ray passing through a thin lens at any point other than its optical centre is deviated. This action of a lens is termed its prismatic effect, deviation being the characteristic property of a prism. 46 A. G. BENNETT AND J . L. FRANCIS A simple expression for the prismatic effect of a lens of given power at a specified distance from its optical centre may easily be deduced from a consideration of Fig. 12. This shows a thin positive lens with its optical centre at 0, and a pair of axial conjugate foci, B and its image B \ Any ray from B such as BE will, by definition, pass through B' after refraction.

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