Abstract

A new technique has been developed that uses an acoustooptic modulator, a heterodyne detector, and 2-D raster-scanning mirrors to characterize laser-beam quality. The technique is described, and its preliminary performance is discussed in relation to the real-time 2-D phase and intensity profiles it produces and the computer data processing performed on those profiles.

© 1984 Optical Society of America

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References

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  1. C. J. Knight, G. W. Sutton, R. Berggren, Proc. Soc. Photo-Opt. Instrum. Eng. 293, 2 (1981).
  2. J. V. Workum, J. A. Plascyk, M. L. Skolnick, Opt. Eng. 18, 187 (1979).
    [CrossRef]
  3. O. Bryngdahl, Prog. Opt. 6, 37 (1965).
    [CrossRef]
  4. J. H. Bruning, D. R. Herriott, J. E. Gallagher, D. P. Rosenfeld, A. D. White, D. J. Brangaccio, Appl. Opt. 13, 2693 (1974).
    [CrossRef] [PubMed]
  5. C. P. Wang, R. L. Varwig, J. Appl. Phys. 50, 7919 (1979).
  6. C. P. Wang, Rev. Sci. Instrum. 54, 469 (1983).
    [CrossRef]
  7. V. K. Zworykin, G. A. Morton, Television (Wiley, New York, 1954), Chap. 6.
  8. J. C. Urbach, T. S. Fish, G. K. Starkweather, Proc. IEEE 70, 597 (1982).
    [CrossRef]

1983

C. P. Wang, Rev. Sci. Instrum. 54, 469 (1983).
[CrossRef]

1982

J. C. Urbach, T. S. Fish, G. K. Starkweather, Proc. IEEE 70, 597 (1982).
[CrossRef]

1981

C. J. Knight, G. W. Sutton, R. Berggren, Proc. Soc. Photo-Opt. Instrum. Eng. 293, 2 (1981).

1979

J. V. Workum, J. A. Plascyk, M. L. Skolnick, Opt. Eng. 18, 187 (1979).
[CrossRef]

C. P. Wang, R. L. Varwig, J. Appl. Phys. 50, 7919 (1979).

1974

1965

O. Bryngdahl, Prog. Opt. 6, 37 (1965).
[CrossRef]

Berggren, R.

C. J. Knight, G. W. Sutton, R. Berggren, Proc. Soc. Photo-Opt. Instrum. Eng. 293, 2 (1981).

Brangaccio, D. J.

Bruning, J. H.

Bryngdahl, O.

O. Bryngdahl, Prog. Opt. 6, 37 (1965).
[CrossRef]

Fish, T. S.

J. C. Urbach, T. S. Fish, G. K. Starkweather, Proc. IEEE 70, 597 (1982).
[CrossRef]

Gallagher, J. E.

Herriott, D. R.

Knight, C. J.

C. J. Knight, G. W. Sutton, R. Berggren, Proc. Soc. Photo-Opt. Instrum. Eng. 293, 2 (1981).

Morton, G. A.

V. K. Zworykin, G. A. Morton, Television (Wiley, New York, 1954), Chap. 6.

Plascyk, J. A.

J. V. Workum, J. A. Plascyk, M. L. Skolnick, Opt. Eng. 18, 187 (1979).
[CrossRef]

Rosenfeld, D. P.

Skolnick, M. L.

J. V. Workum, J. A. Plascyk, M. L. Skolnick, Opt. Eng. 18, 187 (1979).
[CrossRef]

Starkweather, G. K.

J. C. Urbach, T. S. Fish, G. K. Starkweather, Proc. IEEE 70, 597 (1982).
[CrossRef]

Sutton, G. W.

C. J. Knight, G. W. Sutton, R. Berggren, Proc. Soc. Photo-Opt. Instrum. Eng. 293, 2 (1981).

Urbach, J. C.

J. C. Urbach, T. S. Fish, G. K. Starkweather, Proc. IEEE 70, 597 (1982).
[CrossRef]

Varwig, R. L.

C. P. Wang, R. L. Varwig, J. Appl. Phys. 50, 7919 (1979).

Wang, C. P.

C. P. Wang, Rev. Sci. Instrum. 54, 469 (1983).
[CrossRef]

C. P. Wang, R. L. Varwig, J. Appl. Phys. 50, 7919 (1979).

White, A. D.

Workum, J. V.

J. V. Workum, J. A. Plascyk, M. L. Skolnick, Opt. Eng. 18, 187 (1979).
[CrossRef]

Zworykin, V. K.

V. K. Zworykin, G. A. Morton, Television (Wiley, New York, 1954), Chap. 6.

Appl. Opt.

J. Appl. Phys.

C. P. Wang, R. L. Varwig, J. Appl. Phys. 50, 7919 (1979).

Opt. Eng.

J. V. Workum, J. A. Plascyk, M. L. Skolnick, Opt. Eng. 18, 187 (1979).
[CrossRef]

Proc. IEEE

J. C. Urbach, T. S. Fish, G. K. Starkweather, Proc. IEEE 70, 597 (1982).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng.

C. J. Knight, G. W. Sutton, R. Berggren, Proc. Soc. Photo-Opt. Instrum. Eng. 293, 2 (1981).

Prog. Opt.

O. Bryngdahl, Prog. Opt. 6, 37 (1965).
[CrossRef]

Rev. Sci. Instrum.

C. P. Wang, Rev. Sci. Instrum. 54, 469 (1983).
[CrossRef]

Other

V. K. Zworykin, G. A. Morton, Television (Wiley, New York, 1954), Chap. 6.

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Figures (7)

Fig. 1
Fig. 1

Block diagram of the system for measuring 2-D phase and intensity.

Fig. 2
Fig. 2

Schematics of experimental setup.

Fig. 3
Fig. 3

Intensity profile of a He–Ne laser beam: (a) single-frame video image; (b) y scan, 0.5 V/div, 2 msec/div; x scan, 0.5 V/div, 2 μsec/div.

Fig. 4
Fig. 4

HF chemical laser beam: (a) intensity profile; (b) phase profile.

Fig. 5
Fig. 5

Contours of Fig. 4: (a) intensity profile, each level being 6%; (b) phase profile, each level being 20° (λ/18).

Fig. 6
Fig. 6

Three-dimensional plots of Fig. 4: (a) intensity profile; (b) phase profile.

Fig. 7
Fig. 7

Histograms of phase profile over several rectangular areas: (a) 100 × 100 pixels; (b) 40 × 40 pixels.

Equations (6)

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Δ ϕ x ( x , y ) = ϕ ( x + Δ x , y ) - ϕ ( x , y )
Δ ϕ y ( x , y ) = ϕ ( x , y + Δ y ) - ϕ ( x , y )
ϕ ( x , y ) = ϕ ( x - Δ x , y ) + Δ ϕ x ( x - Δ x , y ) = ϕ ( x + Δ x , y ) - Δ ϕ x ( x , y ) = ϕ ( x , y - Δ y ) + Δ ϕ y ( x , y - Δ y ) = ϕ ( x , y + Δ y ) - Δ ϕ y ( x , y ) .
σ 2 ( x , y ) = [ ϕ ( x , y ) - ϕ ( x - Δ x , y ) - ϕ x ( x - Δ x , y ) ] 2 + [ ϕ ( x + Δ x , y ) - ϕ ( x , y ) - Δ ϕ x ( x , y ) ] 2 + [ ϕ ( x , y ) - ϕ ( x , y - Δ y ) - Δ ϕ y ( x , y ) - Δ y ] 2 + [ ϕ ( x , y + Δ y ) - ϕ ( x , y ) - Δ ϕ y ( x , y ) ] 2 .
ϕ ( x , y + Δ y ) - ϕ ( x - Δ x , y ) + 4 ϕ ( x , y ) - ϕ ( x + Δ x , y ) - ϕ ( x , y - Δ y ) = Δ ϕ x ( x - Δ x , y ) - Δ ϕ x ( x , y ) + Δ ϕ y ( x , y ) - Δ ϕ y ( x , y - Δ y ) .
Δ ϕ x = F x ϕ ,             Δ ϕ y = F y ϕ ,

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