Abstract

The precision of alignment attainable with a single slit, a double slit and cross wires, placed respectively at the three points to be aligned, can be about at least 0.17 in., provided use is made of pointings on transition colors in the interference pattern. Practical uses of this method are described, including technical measurements and laboratory experiments of very high precision. Among the last is a spherometer for large radii, that is also an absolute flatness tester with a precision of about λ/100. The method can be expanded to other types of measurement, when instead of a double slit a grating of coarse structure is substituted. Alignment in two directions simultaneously can also be achieved by a modification of the diffracting screen.

© 1950 Optical Society of America

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Corrections

A. C. S. Van Heel, "Errata*: High Precision Measurements with Simple Equipment.," J. Opt. Soc. Am. 41, 1071_1-1071 (1951)
https://www.osapublishing.org/josa/abstract.cfm?uri=josa-41-12-1071_1

References

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  1. A. C. S. van Heel, J. Opt. Soc. Am. 36, 242 (1946).
  2. A. C. S. van Heel, App. Sci. Research B 1, 306 (1949).
    [Crossref]
  3. J. Bonnaffé, Rev. d’optique 9, 17 (1930).
  4. F. L. O. Wadsworth, Phil. Mag. 44, 83 (1897).
    [Crossref]
  5. A. Noetzli, Zeits. f. Instrumentenk 35, 65, 89 (1915).
  6. L. W. Tilton, Bur. Stand. J. Research 6, 58 (1931).
  7. Rayleigh, “Wave theory of light,” , p. 127 (1888, 1902).
  8. J. Savornin, “Étude théorique de la diffraction par une fente,” “La théorie des images optiques,”Colloques Internationaux, Paris, 1949.
  9. A. van Wijngaarden and W. L. Scheen, Verhand. Kon. Akad. Amsterdam, 19, no. 4 (1949). (Computation Dept. Math. Centre, Amsterdam.)
  10. F. Zernike, Ned. Tijdschr. v. Natuurkunde 9, 357 (1942).
  11. V. Ronchi, Rev. d’optique 5, 441 (1926).
  12. L. Lenouvel, Rev. d’optique 3, 211, 315 (1924).
  13. C. Fabry, J. de phys. et rad. 8, 11 (1919).
  14. A. A. Michelson, Astrophys. J. 47, 283 (1918).
    [Crossref]
  15. A. Cotton, Physica 1, 274 (1921).

1949 (1)

A. C. S. van Heel, App. Sci. Research B 1, 306 (1949).
[Crossref]

1946 (1)

1942 (1)

F. Zernike, Ned. Tijdschr. v. Natuurkunde 9, 357 (1942).

1931 (1)

L. W. Tilton, Bur. Stand. J. Research 6, 58 (1931).

1930 (1)

J. Bonnaffé, Rev. d’optique 9, 17 (1930).

1926 (1)

V. Ronchi, Rev. d’optique 5, 441 (1926).

1924 (1)

L. Lenouvel, Rev. d’optique 3, 211, 315 (1924).

1921 (1)

A. Cotton, Physica 1, 274 (1921).

1919 (1)

C. Fabry, J. de phys. et rad. 8, 11 (1919).

1918 (1)

A. A. Michelson, Astrophys. J. 47, 283 (1918).
[Crossref]

1915 (1)

A. Noetzli, Zeits. f. Instrumentenk 35, 65, 89 (1915).

1897 (1)

F. L. O. Wadsworth, Phil. Mag. 44, 83 (1897).
[Crossref]

Bonnaffé, J.

J. Bonnaffé, Rev. d’optique 9, 17 (1930).

Cotton, A.

A. Cotton, Physica 1, 274 (1921).

Fabry, C.

C. Fabry, J. de phys. et rad. 8, 11 (1919).

Lenouvel, L.

L. Lenouvel, Rev. d’optique 3, 211, 315 (1924).

Michelson, A. A.

A. A. Michelson, Astrophys. J. 47, 283 (1918).
[Crossref]

Noetzli, A.

A. Noetzli, Zeits. f. Instrumentenk 35, 65, 89 (1915).

Rayleigh,

Rayleigh, “Wave theory of light,” , p. 127 (1888, 1902).

Ronchi, V.

V. Ronchi, Rev. d’optique 5, 441 (1926).

Savornin, J.

J. Savornin, “Étude théorique de la diffraction par une fente,” “La théorie des images optiques,”Colloques Internationaux, Paris, 1949.

Scheen, W. L.

A. van Wijngaarden and W. L. Scheen, Verhand. Kon. Akad. Amsterdam, 19, no. 4 (1949). (Computation Dept. Math. Centre, Amsterdam.)

Tilton, L. W.

L. W. Tilton, Bur. Stand. J. Research 6, 58 (1931).

van Heel, A. C. S.

A. C. S. van Heel, App. Sci. Research B 1, 306 (1949).
[Crossref]

A. C. S. van Heel, J. Opt. Soc. Am. 36, 242 (1946).

van Wijngaarden, A.

A. van Wijngaarden and W. L. Scheen, Verhand. Kon. Akad. Amsterdam, 19, no. 4 (1949). (Computation Dept. Math. Centre, Amsterdam.)

Wadsworth, F. L. O.

F. L. O. Wadsworth, Phil. Mag. 44, 83 (1897).
[Crossref]

Zernike, F.

F. Zernike, Ned. Tijdschr. v. Natuurkunde 9, 357 (1942).

App. Sci. Research B (1)

A. C. S. van Heel, App. Sci. Research B 1, 306 (1949).
[Crossref]

Astrophys. J. (1)

A. A. Michelson, Astrophys. J. 47, 283 (1918).
[Crossref]

Bur. Stand. J. Research (1)

L. W. Tilton, Bur. Stand. J. Research 6, 58 (1931).

J. de phys. et rad. (1)

C. Fabry, J. de phys. et rad. 8, 11 (1919).

J. Opt. Soc. Am. (1)

Ned. Tijdschr. v. Natuurkunde (1)

F. Zernike, Ned. Tijdschr. v. Natuurkunde 9, 357 (1942).

Phil. Mag. (1)

F. L. O. Wadsworth, Phil. Mag. 44, 83 (1897).
[Crossref]

Physica (1)

A. Cotton, Physica 1, 274 (1921).

Rev. d’optique (3)

V. Ronchi, Rev. d’optique 5, 441 (1926).

L. Lenouvel, Rev. d’optique 3, 211, 315 (1924).

J. Bonnaffé, Rev. d’optique 9, 17 (1930).

Zeits. f. Instrumentenk (1)

A. Noetzli, Zeits. f. Instrumentenk 35, 65, 89 (1915).

Other (3)

Rayleigh, “Wave theory of light,” , p. 127 (1888, 1902).

J. Savornin, “Étude théorique de la diffraction par une fente,” “La théorie des images optiques,”Colloques Internationaux, Paris, 1949.

A. van Wijngaarden and W. L. Scheen, Verhand. Kon. Akad. Amsterdam, 19, no. 4 (1949). (Computation Dept. Math. Centre, Amsterdam.)

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Figures (8)

Fig. 1
Fig. 1

Alignment set-up.

Fig. 2
Fig. 2

Measurement sag of loaded bar.

Fig. 3
Fig. 3

Diffraction at screen.

Fig. 4
Fig. 4

Position of maxima (schematically).

Fig. 5
Fig. 5

Immersion refractometer for lenses and measurements of angles up to 5°.

Fig. 6
Fig. 6

Absolute spherometer for large radii and flatness tester.

Fig. 7
Fig. 7

Autocollimation arrangement.

Fig. 8
Fig. 8

Iron bridge at Hedel (1947).

Equations (1)

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δ = α b 2 ,