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References

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  1. M. H. Horman, Appl. Opt. 4, 333 (1965).
    [CrossRef]
  2. W. Boetticher, U. Kogelschatz, E. Schade, Z. Naturforsch. 27a, 1433(1972).
  3. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), p. 201.
  4. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), p. 80.
  5. E. L. O’Neill, Introduction to Statistical Optics (Addison-Wesley, Reading, Mass., 1963), p. 54.
  6. E. B. Champagne, N. G. Massey, Appl. Opt. 8, 1879 (1969).
    [CrossRef] [PubMed]
  7. J. Winckler, Rev. Sci. Instrum. 19, 307 (1948).
    [CrossRef] [PubMed]
  8. U. Kogelschatz, W. R. Schneider, Appl. Opt. 11, 1822 (1972).
    [CrossRef] [PubMed]
  9. M. Françon, Optical Interferometry (Academic Press, New York, 1966), p. 150.

1972 (2)

W. Boetticher, U. Kogelschatz, E. Schade, Z. Naturforsch. 27a, 1433(1972).

U. Kogelschatz, W. R. Schneider, Appl. Opt. 11, 1822 (1972).
[CrossRef] [PubMed]

1969 (1)

1965 (1)

1948 (1)

J. Winckler, Rev. Sci. Instrum. 19, 307 (1948).
[CrossRef] [PubMed]

Boetticher, W.

W. Boetticher, U. Kogelschatz, E. Schade, Z. Naturforsch. 27a, 1433(1972).

Champagne, E. B.

Françon, M.

M. Françon, Optical Interferometry (Academic Press, New York, 1966), p. 150.

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), p. 201.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), p. 80.

Horman, M. H.

Kogelschatz, U.

W. Boetticher, U. Kogelschatz, E. Schade, Z. Naturforsch. 27a, 1433(1972).

U. Kogelschatz, W. R. Schneider, Appl. Opt. 11, 1822 (1972).
[CrossRef] [PubMed]

Massey, N. G.

O’Neill, E. L.

E. L. O’Neill, Introduction to Statistical Optics (Addison-Wesley, Reading, Mass., 1963), p. 54.

Schade, E.

W. Boetticher, U. Kogelschatz, E. Schade, Z. Naturforsch. 27a, 1433(1972).

Schneider, W. R.

Winckler, J.

J. Winckler, Rev. Sci. Instrum. 19, 307 (1948).
[CrossRef] [PubMed]

Appl. Opt. (3)

Rev. Sci. Instrum. (1)

J. Winckler, Rev. Sci. Instrum. 19, 307 (1948).
[CrossRef] [PubMed]

Z. Naturforsch. (1)

W. Boetticher, U. Kogelschatz, E. Schade, Z. Naturforsch. 27a, 1433(1972).

Other (4)

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), p. 201.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), p. 80.

E. L. O’Neill, Introduction to Statistical Optics (Addison-Wesley, Reading, Mass., 1963), p. 54.

M. Françon, Optical Interferometry (Academic Press, New York, 1966), p. 150.

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Figures (4)

Fig. 1
Fig. 1

Experimental setup with the ruby laser for recording holograms.

Fig. 2
Fig. 2

Astigmatism in the schlieren plane due to the wavelength change between recording and reconstruction.

Fig. 3
Fig. 3

Interferogram of the arc discharge in the flow field obtained from a double exposure hologram.

Fig. 4
Fig. 4

(a) Schlieren reconstruction obtained from the same double exposure hologram. (b) Conventional schlieren photograph.

Equations (9)

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V ( x , y ) = η V r ( x , y ) V r * ( x , y ) V ( x , y ) ,
V ( x , y ) = η a r a r b exp { i [ - k sin β + ( k - k ) sin α ] x } exp { i k - k 2 R cos 2 α x 2 + k - k 2 R y 2 } ,
V ( x , y ) = b exp ( - i k x sin γ ) exp [ i k ( cos 2 γ 2 R x x 2 + 1 2 R y y 2 ) ] .
sin γ = sin β [ 1 - Δ λ λ ( 1 + sin α sin β ) ] ,
R y = R ( λ / Δ λ ) ,
R x = R λ Δ λ cos 2 γ cos 2 α = R y cos 2 γ cos 2 α .
1 / d x = 1 / f - 1 / R x ,             1 / d y = 1 / f - 1 / R y ,
δ = d 2 A ,             A = 1 R Δ λ λ ( 1 - cos 2 α cos 2 γ ) .
sin α / sin β = [ 1 - ( Δ λ / λ ) ] / [ 1 + ( Δ λ / λ ) ] .

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