Abstract

In the paper a new method of the sign establishment for the right-angle deviation error in prisms is described. The method has been developed on the basis of the known autocollimation method of right-angle control and consists of introducing polarized light. Some examples of how to establish the right-angle deviation error sign are given.

© 1966 Optical Society of America

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References

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  1. S. D. Chalmers, H. S. Ryland, Trans. Opt. Soc. London 6, 34 (1904–1905).
    [CrossRef]
  2. G. W. Moffitt, J. Opt. Soc. Am. 7, 831 (1923).
    [CrossRef]

1923

Chalmers, S. D.

S. D. Chalmers, H. S. Ryland, Trans. Opt. Soc. London 6, 34 (1904–1905).
[CrossRef]

Moffitt, G. W.

Ryland, H. S.

S. D. Chalmers, H. S. Ryland, Trans. Opt. Soc. London 6, 34 (1904–1905).
[CrossRef]

J. Opt. Soc. Am.

Trans. Opt. Soc. London

S. D. Chalmers, H. S. Ryland, Trans. Opt. Soc. London 6, 34 (1904–1905).
[CrossRef]

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Figures (8)

Fig. 1
Fig. 1

The measuring system of deviation error δ of a right-angle prism. T autocollimator; p, a distance between the image points b1 and b2 on the reticle; n, index of refraction.

Fig. 2
Fig. 2

A cylindrical lens L covering the right half of the right-angle prism hypotenuse. When the deviation error δ > 0, an a-type image appears on the reticle; in the case δ < 0, a b type.

Fig. 3
Fig. 3

The right half of the right-angle prism hypotenuse is covered by a polarizer P2 with a polarization axis O–O crossed with that of an analyzer P1, the latter being put on the eye piece.

Fig. 4
Fig. 4

Two light beams b1 and b2, being parallel before falling on the roof prism, make an angle Θ after leaving the prism. C, a collimator; T a telescope.

Fig. 5
Fig. 5

A roof-angle deviation error δ measurement with the help of an autocollimator. If the angles between sides A and B and the bisectrix plane of the roof angle, respectively, are equal to each other, an a-type image appears on the reticle; if they are different, a b-type.

Fig. 6
Fig. 6

An axial light-ray trace in a roof prism, the latter being controlled with the help of an autocollimator.

Fig. 7
Fig. 7

Extinguishing of two cross images b1 and b2 with the help of a polarizer P2 crossed with an analyzer. Two crosses b1 and b2 remain on the reticle.

Fig. 8
Fig. 8

Light beam traces in a rectangular glass block. The right-angle A deviation error δ being controlled with the help of an autocollimator.

Equations (3)

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δ = Θ / 4 n cos ϑ ,
δ = Θ / 2 [ 1 + ( 2 n 2 - 1 ) 1 2 ] .
δ = Θ cos α / [ 4 ( n 2 - sin 2 α ) 1 2 ] .

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