Abstract

An application of channeled spectra to two beam interferometry is described in which the optical path to be measured produces a shift of the channeled spectrum from a distribution that is preset in order to minimize the errors involved. This provides an absolute measurement of the phase and dispersion localized at the slit of the spectrometer with an improvement in accuracy over monochromatic or two wavelength interferometry. Examples include a time resolved channeled spectrum of the electron, ion, and neutral densities behind a strong shock wave in argon.

© 1971 Optical Society of America

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References

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  1. L. H. Tanner, The Optics of the Mach-Zehnder Interferometer [Aeronautical Research Council (Reports and Memoranda 3069), London, 1956].
  2. G. G. Dolgov, S. L. Mandelshtam, Zh.Eksper. Teor. Fiz. 24, 691 (1953).
  3. R. A. Alpher, D. R. White, Phys. Fluids 2, 162 (1959).
    [CrossRef]
  4. U. Ascoli-Bartoli, F. Rasetti, Nuovo Cimento 13, 1296 (1959).
    [CrossRef]
  5. F. D. Bennett, H. S. Burden, D. D. Shear, Phys. Fluids 6, 752 (1963).
    [CrossRef]
  6. M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1964).
  7. R. W. Ditchburn, Light (Blackie and Son, London, 1963).
  8. S. Tolansky, Phil. Mag. 7, 36 (1945).
  9. M. J. Macé de Lépinay, J. de Phys. Ser. 3 1 (1892).
  10. V. Chandrasekharam, H. Damany, Appl. Opt., 8, 671 (1969).
    [CrossRef]
  11. E. Whittaker, G. Robson, The Calculus of Observations, (Blackie and Son, London (1960), p. 184.

1969 (1)

1963 (1)

F. D. Bennett, H. S. Burden, D. D. Shear, Phys. Fluids 6, 752 (1963).
[CrossRef]

1959 (2)

R. A. Alpher, D. R. White, Phys. Fluids 2, 162 (1959).
[CrossRef]

U. Ascoli-Bartoli, F. Rasetti, Nuovo Cimento 13, 1296 (1959).
[CrossRef]

1953 (1)

G. G. Dolgov, S. L. Mandelshtam, Zh.Eksper. Teor. Fiz. 24, 691 (1953).

1945 (1)

S. Tolansky, Phil. Mag. 7, 36 (1945).

1892 (1)

M. J. Macé de Lépinay, J. de Phys. Ser. 3 1 (1892).

Alpher, R. A.

R. A. Alpher, D. R. White, Phys. Fluids 2, 162 (1959).
[CrossRef]

Ascoli-Bartoli, U.

U. Ascoli-Bartoli, F. Rasetti, Nuovo Cimento 13, 1296 (1959).
[CrossRef]

Bennett, F. D.

F. D. Bennett, H. S. Burden, D. D. Shear, Phys. Fluids 6, 752 (1963).
[CrossRef]

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1964).

Burden, H. S.

F. D. Bennett, H. S. Burden, D. D. Shear, Phys. Fluids 6, 752 (1963).
[CrossRef]

Chandrasekharam, V.

Damany, H.

Ditchburn, R. W.

R. W. Ditchburn, Light (Blackie and Son, London, 1963).

Dolgov, G. G.

G. G. Dolgov, S. L. Mandelshtam, Zh.Eksper. Teor. Fiz. 24, 691 (1953).

Macé de Lépinay, M. J.

M. J. Macé de Lépinay, J. de Phys. Ser. 3 1 (1892).

Mandelshtam, S. L.

G. G. Dolgov, S. L. Mandelshtam, Zh.Eksper. Teor. Fiz. 24, 691 (1953).

Rasetti, F.

U. Ascoli-Bartoli, F. Rasetti, Nuovo Cimento 13, 1296 (1959).
[CrossRef]

Robson, G.

E. Whittaker, G. Robson, The Calculus of Observations, (Blackie and Son, London (1960), p. 184.

Shear, D. D.

F. D. Bennett, H. S. Burden, D. D. Shear, Phys. Fluids 6, 752 (1963).
[CrossRef]

Tanner, L. H.

L. H. Tanner, The Optics of the Mach-Zehnder Interferometer [Aeronautical Research Council (Reports and Memoranda 3069), London, 1956].

Tolansky, S.

S. Tolansky, Phil. Mag. 7, 36 (1945).

White, D. R.

R. A. Alpher, D. R. White, Phys. Fluids 2, 162 (1959).
[CrossRef]

Whittaker, E.

E. Whittaker, G. Robson, The Calculus of Observations, (Blackie and Son, London (1960), p. 184.

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1964).

Appl. Opt. (1)

J. de Phys. Ser. 3 (1)

M. J. Macé de Lépinay, J. de Phys. Ser. 3 1 (1892).

Nuovo Cimento (1)

U. Ascoli-Bartoli, F. Rasetti, Nuovo Cimento 13, 1296 (1959).
[CrossRef]

Phil. Mag. (1)

S. Tolansky, Phil. Mag. 7, 36 (1945).

Phys. Fluids (2)

R. A. Alpher, D. R. White, Phys. Fluids 2, 162 (1959).
[CrossRef]

F. D. Bennett, H. S. Burden, D. D. Shear, Phys. Fluids 6, 752 (1963).
[CrossRef]

Zh.Eksper. Teor. Fiz. (1)

G. G. Dolgov, S. L. Mandelshtam, Zh.Eksper. Teor. Fiz. 24, 691 (1953).

Other (4)

L. H. Tanner, The Optics of the Mach-Zehnder Interferometer [Aeronautical Research Council (Reports and Memoranda 3069), London, 1956].

M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1964).

R. W. Ditchburn, Light (Blackie and Son, London, 1963).

E. Whittaker, G. Robson, The Calculus of Observations, (Blackie and Son, London (1960), p. 184.

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Figures (4)

Fig. 1(a)
Fig. 1(a)

Channeled spectrum and densitometer traces of a thin Melinex film.

Fig. 1(b)
Fig. 1(b)

Monochromatic interferogram at 5461 Å corresponding to Fig. 1(a) and the optical path distribution of the film.

Fig. 2
Fig. 2

Channeled spectrum of uncompensated glass showing a minimum in the order number.

Fig. 3
Fig. 3

Time-resolved channeled spectrum of an 0.7 km/sec shock wave moving into argon at 3.4 × 103 newtons/m2 pressure and room temperature.

Equations (10)

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( n + 1 2 ) λ = δ ,
p j λ j = δ ,
N = [ ( λ u - λ l ) / ( λ u λ l ) ] = δ / K ,
p j = N ( K / λ j ) ,
λ ( j + 1 ) - λ j = λ j p ( j + 1 ) = λ ( j + 1 ) p j = λ j λ ( j + 1 ) N K ( λ j 2 ) / ( N K ) if N is large .
Δ δ = ( 1 λ j ) / ( 2 N ) 1 2 + ( N / 2 ) 1 2 [ ( K 2 ) / λ j ] ,
N opt = ( λ j 2 / K ) · ( 1 / 2 ) ,
λ j 2 λ l λ u , N opt ( λ u - λ l ) ( 1 / 2 ) .
( Δ δ m ) / λ a = [ 2 / ( N ) 1 2 ] 1
( d δ / d λ ) λ h = ( δ / λ ) λ h = p h .

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