Abstract

A wavefront reversing interferometer and an inverting interferometer are described for use in testing corner cubes and right angle prisms. Both the interferometers are stable, easy to adjust, and require comparatively simple setup. They have adequate sensitivity for measuring the divergence of the reflected wavefronts, but do not give directly the symmetrical errors of the prisms. With the inverting interferometer, the latter can be determined by changing the shear. Methods are suggested for testing the prisms during manufacture and correcting their defects by use of these interferometers.

© 1966 Optical Society of America

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References

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  1. F. Twyman, Prism and Lens Making (Hilger & Watt Ltd., London, 1952), p. 447.
  2. G. W. Stroke, J. Opt. Soc. Am. 55, 330 (1965).
    [CrossRef]
  3. M. V. R. K. Murty, Appl. Opt. 4, 535 (1964).
    [CrossRef]
  4. G. Hansen, W. Kinder, Optik 15, 560 (1958).
  5. A. N. DeJong, Opt. Acta 10, 115 (1963).
    [CrossRef]
  6. D. Sen, P. N. Puntambekar, Opt. Acta 12, 137 (1965).
    [CrossRef]
  7. P. R. Yoder, J. Opt. Soc. Am. 48, 496 (1958).
    [CrossRef]
  8. J. B. Saunders, J. Res. Natl. Bur. Stds. 66B, 29 (1962).
  9. J. W. Gates, Proc. Phys. Soc. (London) 68B, 1065 (1955).

1965 (2)

D. Sen, P. N. Puntambekar, Opt. Acta 12, 137 (1965).
[CrossRef]

G. W. Stroke, J. Opt. Soc. Am. 55, 330 (1965).
[CrossRef]

1964 (1)

M. V. R. K. Murty, Appl. Opt. 4, 535 (1964).
[CrossRef]

1963 (1)

A. N. DeJong, Opt. Acta 10, 115 (1963).
[CrossRef]

1962 (1)

J. B. Saunders, J. Res. Natl. Bur. Stds. 66B, 29 (1962).

1958 (2)

G. Hansen, W. Kinder, Optik 15, 560 (1958).

P. R. Yoder, J. Opt. Soc. Am. 48, 496 (1958).
[CrossRef]

1955 (1)

J. W. Gates, Proc. Phys. Soc. (London) 68B, 1065 (1955).

DeJong, A. N.

A. N. DeJong, Opt. Acta 10, 115 (1963).
[CrossRef]

Gates, J. W.

J. W. Gates, Proc. Phys. Soc. (London) 68B, 1065 (1955).

Hansen, G.

G. Hansen, W. Kinder, Optik 15, 560 (1958).

Kinder, W.

G. Hansen, W. Kinder, Optik 15, 560 (1958).

Murty, M. V. R. K.

M. V. R. K. Murty, Appl. Opt. 4, 535 (1964).
[CrossRef]

Puntambekar, P. N.

D. Sen, P. N. Puntambekar, Opt. Acta 12, 137 (1965).
[CrossRef]

Saunders, J. B.

J. B. Saunders, J. Res. Natl. Bur. Stds. 66B, 29 (1962).

Sen, D.

D. Sen, P. N. Puntambekar, Opt. Acta 12, 137 (1965).
[CrossRef]

Stroke, G. W.

Twyman, F.

F. Twyman, Prism and Lens Making (Hilger & Watt Ltd., London, 1952), p. 447.

Yoder, P. R.

Appl. Opt. (1)

M. V. R. K. Murty, Appl. Opt. 4, 535 (1964).
[CrossRef]

J. Opt. Soc. Am. (2)

J. Res. Natl. Bur. Stds. (1)

J. B. Saunders, J. Res. Natl. Bur. Stds. 66B, 29 (1962).

Opt. Acta (2)

A. N. DeJong, Opt. Acta 10, 115 (1963).
[CrossRef]

D. Sen, P. N. Puntambekar, Opt. Acta 12, 137 (1965).
[CrossRef]

Optik (1)

G. Hansen, W. Kinder, Optik 15, 560 (1958).

Proc. Phys. Soc. (London) (1)

J. W. Gates, Proc. Phys. Soc. (London) 68B, 1065 (1955).

Other (1)

F. Twyman, Prism and Lens Making (Hilger & Watt Ltd., London, 1952), p. 447.

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Figures (10)

Fig. 1
Fig. 1

Schematic diagram of Jamin interferometer for testing reflecting prisms. L, high pressure mercury lamp; C1, condensing lens; F, filter; S, pinhole; M1, semireflecting mirror; C, collimator lens; A, rectangular aperture; M, beam dividing plate; P, prism under testing; E, exit stop.

Fig. 2
Fig. 2

Diagrams of the equilateral face of a corner cube showing the areas used for Jamin interferograms with the two different shears.

Fig. 3
Fig. 3

Interferograms of the corner cube on the Jamin interferometer with shear as in Fig. 2(a). The interfering wavefronts in the central, upper, upper right hand, lower right hand, lower, lower left hand, and upper left hand portions of the interferograms, respectively, are: (a) W312-W213, W132-W123, W132-W213, W321-W213, W321-W231, W312-W231, and W312-W123; (b) W231-W132, W321-W312, W321-W132, W213-W123, W213-W123, W231-W123, and W231-W312; (c) W123-W321, W213-W231, W213-W321, W132-W321, W132-W312, W123-W312, and W123-W231.

Fig. 4
Fig. 4

Interferograms of the corner cube on the Jamin interferometer with the shear as in Fig. 2(b). The interfering wavefronts in the different areas of the interferograms are the same as in Fig. 3.

Fig. 5
Fig. 5

Schematic diagram of the inverting Fizeau interferometer for testing reflecting prisms. L, high pressure mercury lamp; C1, condensing lens; F, filter; M, mirror with pinhole; M1, semireflecting mirror; P, prism under test; A, stop; E, exit stop.

Fig. 6
Fig. 6

Diagram of the equilateral face of the corner cube showing the different points about which the wavefronts have been inverted.

Fig. 7
Fig. 7

Interferograms of the corner cube with wavefronts inverted about O1 and similar points. The interfering wavefronts in different areas of the interferograms, in the sequence indicated, are: (a) W 0 - W 312 , W 132 - W 321 , W 132 - W 312 , W 321 - W 312 , W 321 - W 132 , W 312 - W 132 and W 312 - W 321 ; (b) W 0 - W 132 , W 312 - W 123 , W 132 - W 123 , W 132 - W 312 , W 123 - W 312 , W 123 - W 132 and W 312 - W 132 ; (c) W 0 - W 223 , W 213 - W 132 , W 213 - W 123 , W 132 - W 123 , W 132 - W 213 , W 123 - W 213 and W 123 - W 132 .

Fig. 8
Fig. 8

Interferograms of the corner cube with the wavefronts inverted about O2 and similar points. The interfering wavefronts in different areas of the interferograms are the same as in Fig. 7.

Fig. 9
Fig. 9

Interferograms of the corner cube: (a) wavefronts inverted about the point O3, giving, in the central area, interference between the wavefronts W0 and W 312 , (b) wavefronts inverted about the point O4 giving, in both the upper and lower areas, interference between W 312 , and W 321 .

Fig. 10
Fig. 10

(a) Interferogram of the corner cube on a Twyman–Green interferometer. The wavefronts giving rise to interference are W 0 - W 123 in the upper area, W 0 - W 132 in the central area, and W 0 - W 312 in the lower area. (b) Moiré fringes showing the unsymmetrical errors in the lower left-hand area of the interferogram in (a).

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