Abstract

A multiple-beam interferometer that permits evaluation of autostigmatic systems is described. A small reference sphere is compared with a spherical wavefront in a manner analogous to the comparison of a plane wavefront with the reference flat in a Fizeau interferometer. To prevent walk-off of the fringes, a field lens is used at the center of curvature of the reference sphere. The instrument described has been used for evaluating spherical mirrors, concentric windows, and lenses.

© 1967 Optical Society of America

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References

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  1. W. E. Williams, Application of Interferometry (John Wiley & Sons, New York, 1950).
  2. W. H. Steele, Opt. Acta 9, 111 (1962).
    [CrossRef]
  3. D. Herriott, J. Opt. Soc. Am. 55, 614 A (1965).
  4. See Ref. 3; also D. Herriott, J. Opt. Soc. Am. 56, 719 (1966).
    [CrossRef]

1966

1965

D. Herriott, J. Opt. Soc. Am. 55, 614 A (1965).

1962

W. H. Steele, Opt. Acta 9, 111 (1962).
[CrossRef]

Herriott, D.

See Ref. 3; also D. Herriott, J. Opt. Soc. Am. 56, 719 (1966).
[CrossRef]

D. Herriott, J. Opt. Soc. Am. 55, 614 A (1965).

Steele, W. H.

W. H. Steele, Opt. Acta 9, 111 (1962).
[CrossRef]

Williams, W. E.

W. E. Williams, Application of Interferometry (John Wiley & Sons, New York, 1950).

J. Opt. Soc. Am.

D. Herriott, J. Opt. Soc. Am. 55, 614 A (1965).

See Ref. 3; also D. Herriott, J. Opt. Soc. Am. 56, 719 (1966).
[CrossRef]

Opt. Acta

W. H. Steele, Opt. Acta 9, 111 (1962).
[CrossRef]

Other

W. E. Williams, Application of Interferometry (John Wiley & Sons, New York, 1950).

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Figures (11)

Fig. 1
Fig. 1

The Fizeau interferometer.

Fig. 2
Fig. 2

The spherical wave interferometer.

Fig. 3
Fig. 3

Difference in energy distribution across a fringe owing to insertion of a field lens.

Fig. 4
Fig. 4

Fractional fringe displacement. mλ = 2 d cosθ, Δm/m = − [tan(Δθ/2)] Δθ ≈ (Δθ)2/2 or Δmdθ)2/2, where m = order of interference, λ = wavelength, d = interferometer gap, and Δθ angle error.

Fig. 5
Fig. 5

Spherical aberration introduced in interferometer: (a) no field lens; (b) with field lens.

Fig. 6
Fig. 6

Optical schematic of the instrument.

Fig. 7
Fig. 7

Completed instrument.

Fig. 8
Fig. 8

Tilt and power corrected.

Fig. 9
Fig. 9

Uses of spherical wavefront interferometer.

Fig. 10
Fig. 10

A 75-mm f/1.5 lens tested in autocollimation at f/2.3: (a) no field lens; (b) with field lens; (c) no field lines; and (d) with field lens.

Fig. 11
Fig. 11

Visibility of fringes: (a) when a reflecting surface was placed close to the reference surface center; (b) when a test sphere was placed concentric with the reference sphere. (Note that the test mirror is of poor quality, and that a field lens cannot be used to clean up the fringes).

Equations (1)

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M = sin ( π χ Δ ν / c ) ( π χ Δ ν / c ) ,

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