Abstract

Radial shearing interferometers have been devised by several workers earlier. All of them were based on conventional light sources, and consequently full white light compensation was required. It is possible to devise several schemes of radial shearing interferometers ignoring the condition of white light compensation when a laser source is used in place of a conventional source. Some of these arrangements are described in the present paper.

© 1973 Optical Society of America

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References

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  1. D. S. Brown, in Interferometry, Symposium 11 at National Physical Laboratory, London, England, 1959 (Her Majesty’s Stationary Office, London, 1960), p. 253.
  2. P. Hariharan, D. Sen, Opt. Acta 9, 159 (1962).
    [CrossRef]
  3. M. V. R. K. Murty, Appl. Opt. 3, 853 (1964).
    [CrossRef]
  4. W. H. Steel, J. Sci. Instrum. 42, 102 (1965).
    [CrossRef]
  5. K. M. Baird, G. R. Hanes, in Applied Optics and Optical Engineering, R. Kingslake, Ed. (Academic, New York, 1967), Vol. 4, p. 336.
  6. J. D. Briers, Opt. Laser Technol. 4, 28 (1972).
    [CrossRef]
  7. M. V. R. K. Murty, Bull. Opt. Soc. India 1, 29 (1967).
  8. W. H. Steel, Progress in Optics, E. Wolf, Ed. (North-Holland, Amsterdam, 1966), Vol. 5, p. 178.
    [CrossRef]
  9. S. C. Som, Opt. Acta 17, 107 (1970).
    [CrossRef]
  10. W. H. Steel, Opt. Acta 17, 721 (1970).
    [CrossRef]

1972 (1)

J. D. Briers, Opt. Laser Technol. 4, 28 (1972).
[CrossRef]

1970 (2)

S. C. Som, Opt. Acta 17, 107 (1970).
[CrossRef]

W. H. Steel, Opt. Acta 17, 721 (1970).
[CrossRef]

1967 (1)

M. V. R. K. Murty, Bull. Opt. Soc. India 1, 29 (1967).

1965 (1)

W. H. Steel, J. Sci. Instrum. 42, 102 (1965).
[CrossRef]

1964 (1)

1962 (1)

P. Hariharan, D. Sen, Opt. Acta 9, 159 (1962).
[CrossRef]

Baird, K. M.

K. M. Baird, G. R. Hanes, in Applied Optics and Optical Engineering, R. Kingslake, Ed. (Academic, New York, 1967), Vol. 4, p. 336.

Briers, J. D.

J. D. Briers, Opt. Laser Technol. 4, 28 (1972).
[CrossRef]

Brown, D. S.

D. S. Brown, in Interferometry, Symposium 11 at National Physical Laboratory, London, England, 1959 (Her Majesty’s Stationary Office, London, 1960), p. 253.

Hanes, G. R.

K. M. Baird, G. R. Hanes, in Applied Optics and Optical Engineering, R. Kingslake, Ed. (Academic, New York, 1967), Vol. 4, p. 336.

Hariharan, P.

P. Hariharan, D. Sen, Opt. Acta 9, 159 (1962).
[CrossRef]

Murty, M. V. R. K.

M. V. R. K. Murty, Bull. Opt. Soc. India 1, 29 (1967).

M. V. R. K. Murty, Appl. Opt. 3, 853 (1964).
[CrossRef]

Sen, D.

P. Hariharan, D. Sen, Opt. Acta 9, 159 (1962).
[CrossRef]

Som, S. C.

S. C. Som, Opt. Acta 17, 107 (1970).
[CrossRef]

Steel, W. H.

W. H. Steel, Opt. Acta 17, 721 (1970).
[CrossRef]

W. H. Steel, J. Sci. Instrum. 42, 102 (1965).
[CrossRef]

W. H. Steel, Progress in Optics, E. Wolf, Ed. (North-Holland, Amsterdam, 1966), Vol. 5, p. 178.
[CrossRef]

Appl. Opt. (1)

Bull. Opt. Soc. India (1)

M. V. R. K. Murty, Bull. Opt. Soc. India 1, 29 (1967).

J. Sci. Instrum. (1)

W. H. Steel, J. Sci. Instrum. 42, 102 (1965).
[CrossRef]

Opt. Acta (3)

P. Hariharan, D. Sen, Opt. Acta 9, 159 (1962).
[CrossRef]

S. C. Som, Opt. Acta 17, 107 (1970).
[CrossRef]

W. H. Steel, Opt. Acta 17, 721 (1970).
[CrossRef]

Opt. Laser Technol. (1)

J. D. Briers, Opt. Laser Technol. 4, 28 (1972).
[CrossRef]

Other (3)

W. H. Steel, Progress in Optics, E. Wolf, Ed. (North-Holland, Amsterdam, 1966), Vol. 5, p. 178.
[CrossRef]

D. S. Brown, in Interferometry, Symposium 11 at National Physical Laboratory, London, England, 1959 (Her Majesty’s Stationary Office, London, 1960), p. 253.

K. M. Baird, G. R. Hanes, in Applied Optics and Optical Engineering, R. Kingslake, Ed. (Academic, New York, 1967), Vol. 4, p. 336.

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Figures (7)

Fig. 1
Fig. 1

Schematic diagram of a longitudinal radial shearing interferometer utilizing a laser source for illumination.

Fig. 2
Fig. 2

A schematic diagram showing the radial shear in the convergent light utilizing a laser source for illumination.

Fig. 3
Fig. 3

Schematic diagram showing the solid version of Fig. 2.

Fig. 4
Fig. 4

A fringe system obtained when a nearly well corrected lens is tested using the interferometer shown in Fig. 3. A slight tilt is included between the interfering wavefronts to obtain straight fringes.

Fig. 5
Fig. 5

Schematic diagram of a radial shearing interferometer using a convex surface on one side and a concave surface on the other side. The right-hand side half of the device is very large to show clearly the expanded beam. In practice this component may be small to allow only the portion of the beam that interferes.

Fig. 6
Fig. 6

Schematic diagram showing the radial shear in the collimated light.

Fig. 7
Fig. 7

Schematic diagram showing the solid version of Fig. 6. If the input is collimated light, radial shear is obtained in divergent beam.

Equations (3)

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R = [ a ( 2 b - a ) ] / ( b - a ) ,
S = ( 2 b - a ) / a .
S = [ ( 2 b - a ) / a ] 2 .

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