The Theory of Optical Instruments

Cover The Theory of Optical Instruments
The Theory of Optical Instruments
Whittaker, E. T. (Edmund Taylor), 1873-1956
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Comparing these two equations, we have 1 l-ak z = FA --' These equations determine the focal length of the lens and the position of its first principal focus ; the position of the second principal focus F' is similarly given by the equation K The position and size of the image are therefore given by the equations 1 x T^ 2, where F I x, and y. -j^-, Kx which completely determine the image-forming action of the lens.
The distance of the vertex A from the first principal point H is ( 8) IT A T? A
.../" L"~ 2 ^ 2 HA-1A-J-- _ r _-__-_, and the distance of the second principal point from the vertex B, measured outwards from the lens, is similarly - akJK. The distance between the principal points is therefore t a (k l + k^)jK ; or if t be small compared with the focal length, it is approximately (/x - 1) t\i*..
It is easily seen from the above formulae that generally speaking the effect of the thickness in a double-convex lens is to decrease the converging power of the lens, while in a double-concave lens the thick- ness increases the diverging power.


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