Abstract

Applications of quantitative schlieren techniques to pulsed high current electric arcs are described. A new formalism for the Abel inversion is derived that does not start from the small angle approximation. The numerical treatment of experimental data is given special attention. A pulsed argon laser was constructed that gives enough background intensity to outshine a 2000-A arc. Several high speed schlieren techniques were tried to obtain quantitative information about the density and temperature in the neighborhood of the arc.

© 1972 Optical Society of America

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  8. M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1965), p. 121.
  9. M. Abramovitz, I. A. Stegun, Handbook of Mathematical Functions (U.S. Govt. Printing Office, Washington, D. C., 1968).
  10. D. J. H. Wort, CLM-R 27 (Culham, 1963).
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  16. Internal report, available on request.
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  26. K. Behringer, W. Kollmar, J. Mentel, Z. Phys. 215, 127 (1968).
    [CrossRef]
  27. L. G. Longsworth, J. Am. Chem. Soc. 91, 929 (1929).

1969 (3)

M. Kock, J. Richter, Ann. Phys. Leipzig 24, 30 (1969).
[CrossRef]

G. N. Minerbo, M. E. Levy, SIAM, J. Numer. Anal. 6, 598 (1969).
[CrossRef]

G. Herziger, W. Seelig, Z. Phys. 219, 5 (1969).
[CrossRef]

1968 (2)

G. Herziger, W. Seelig, Z. Phys. 215, 437 (1968).
[CrossRef]

K. Behringer, W. Kollmar, J. Mentel, Z. Phys. 215, 127 (1968).
[CrossRef]

1966 (1)

R. Gorenflo, Y. Kovets, Numer. Math. 8, 392 (1966).
[CrossRef]

1965 (1)

1963 (1)

S. I. Herlitz, Ark. Fys. 23, 571 (1963).

1961 (1)

1960 (1)

1958 (1)

V. Ronchi, Atti della Fondazzione Georgio Ronchi 13, 368 (1958).

1950 (1)

H. Wolter, Ann. Phys. Leipzig 7, 341 (1950).
[CrossRef]

1942 (1)

H. Schardin, Ergeb. Exakt. Natur. 20, 303 (1942).
[CrossRef]

1929 (1)

L. G. Longsworth, J. Am. Chem. Soc. 91, 929 (1929).

Abramovitz, M.

M. Abramovitz, I. A. Stegun, Handbook of Mathematical Functions (U.S. Govt. Printing Office, Washington, D. C., 1968).

Behringer, K.

K. Behringer, W. Kollmar, J. Mentel, Z. Phys. 215, 127 (1968).
[CrossRef]

Bockasten, K.

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1965), p. 121.

Bötticher, W.

W. Bötticher, U. Kogelschatz, E. Schade, Z. Naturforsch. (in press).

Caron, A. P.

Freeman, M. P.

Gorenflo, R.

R. Gorenflo, Y. Kovets, Numer. Math. 8, 392 (1966).
[CrossRef]

Herlitz, S. I.

S. I. Herlitz, Ark. Fys. 23, 571 (1963).

Herziger, G.

G. Herziger, W. Seelig, Z. Phys. 219, 5 (1969).
[CrossRef]

G. Herziger, W. Seelig, Z. Phys. 215, 437 (1968).
[CrossRef]

Katz, S.

Keilmann, F.

F. Keilmann, IPP IV/4 (Garching, 1970).

Kock, M.

M. Kock, J. Richter, Ann. Phys. Leipzig 24, 30 (1969).
[CrossRef]

Kogelschatz, U.

W. Bötticher, U. Kogelschatz, E. Schade, Z. Naturforsch. (in press).

U. Kogelschatz, E. Schade, in Proc. 10th Int. Conf. on Phenomena in Ionized Gases (Oxford U. P., London, 1971), p. 198.

Kollmar, W.

K. Behringer, W. Kollmar, J. Mentel, Z. Phys. 215, 127 (1968).
[CrossRef]

Kovets, Y.

R. Gorenflo, Y. Kovets, Numer. Math. 8, 392 (1966).
[CrossRef]

Levy, M. E.

G. N. Minerbo, M. E. Levy, SIAM, J. Numer. Anal. 6, 598 (1969).
[CrossRef]

Longsworth, L. G.

L. G. Longsworth, J. Am. Chem. Soc. 91, 929 (1929).

Maldonado, C. D.

Mentel, J.

K. Behringer, W. Kollmar, J. Mentel, Z. Phys. 215, 127 (1968).
[CrossRef]

Minerbo, G. N.

G. N. Minerbo, M. E. Levy, SIAM, J. Numer. Anal. 6, 598 (1969).
[CrossRef]

Neumann, M.

M. Neumann, DVL-91 (Deutsche Versuchsanst. f. Luftfahrt, 1961).

Olsen, H. N.

Richter, J.

M. Kock, J. Richter, Ann. Phys. Leipzig 24, 30 (1969).
[CrossRef]

Ronchi, V.

V. Ronchi, Atti della Fondazzione Georgio Ronchi 13, 368 (1958).

Salzmann, H.

H. Salzmann, LGI 68, 25 (Frascati, 1968).

Schade, E.

U. Kogelschatz, E. Schade, in Proc. 10th Int. Conf. on Phenomena in Ionized Gases (Oxford U. P., London, 1971), p. 198.

W. Bötticher, U. Kogelschatz, E. Schade, Z. Naturforsch. (in press).

Schardin, H.

H. Schardin, Ergeb. Exakt. Natur. 20, 303 (1942).
[CrossRef]

Seelig, W.

G. Herziger, W. Seelig, Z. Phys. 219, 5 (1969).
[CrossRef]

G. Herziger, W. Seelig, Z. Phys. 215, 437 (1968).
[CrossRef]

Speak, G. S.

G. S. Speak, D. J. Walters, A.R.C.-Reports and Memoranda 2859 1950 (U. K. Aeronautical Research Council, 1950).

Stegun, I. A.

M. Abramovitz, I. A. Stegun, Handbook of Mathematical Functions (U.S. Govt. Printing Office, Washington, D. C., 1968).

van Trigt, C.

C. van Trigt, in Proc. 10th. Conf. on Phenomena in Ionized Gases (Oxford U. P., London, 1971), p. 396.

Walters, D. J.

G. S. Speak, D. J. Walters, A.R.C.-Reports and Memoranda 2859 1950 (U. K. Aeronautical Research Council, 1950).

Weinberg, F. J.

F. J. Weinberg, Optics of Flames (Butterworths, London, 1963), p. 182.

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1965), p. 121.

Wolter, H.

H. Wolter, Ann. Phys. Leipzig 7, 341 (1950).
[CrossRef]

H. Wolter, Handbuch der Physik XXIV, Grundlagen der Optik (Springer, Berlin, 1956), p. 572.

Wort, D. J. H.

D. J. H. Wort, CLM-R 27 (Culham, 1963).

Ann. Phys. Leipzig (2)

M. Kock, J. Richter, Ann. Phys. Leipzig 24, 30 (1969).
[CrossRef]

H. Wolter, Ann. Phys. Leipzig 7, 341 (1950).
[CrossRef]

Ark. Fys. (1)

S. I. Herlitz, Ark. Fys. 23, 571 (1963).

Atti della Fondazzione Georgio Ronchi (1)

V. Ronchi, Atti della Fondazzione Georgio Ronchi 13, 368 (1958).

Ergeb. Exakt. Natur. (1)

H. Schardin, Ergeb. Exakt. Natur. 20, 303 (1942).
[CrossRef]

J. Am. Chem. Soc. (1)

L. G. Longsworth, J. Am. Chem. Soc. 91, 929 (1929).

J. Opt. Soc. Am. (3)

Numer. Math. (1)

R. Gorenflo, Y. Kovets, Numer. Math. 8, 392 (1966).
[CrossRef]

SIAM, J. Numer. Anal. (1)

G. N. Minerbo, M. E. Levy, SIAM, J. Numer. Anal. 6, 598 (1969).
[CrossRef]

Z. Phys. (3)

G. Herziger, W. Seelig, Z. Phys. 215, 437 (1968).
[CrossRef]

G. Herziger, W. Seelig, Z. Phys. 219, 5 (1969).
[CrossRef]

K. Behringer, W. Kollmar, J. Mentel, Z. Phys. 215, 127 (1968).
[CrossRef]

Other (13)

G. S. Speak, D. J. Walters, A.R.C.-Reports and Memoranda 2859 1950 (U. K. Aeronautical Research Council, 1950).

F. J. Weinberg, Optics of Flames (Butterworths, London, 1963), p. 182.

Internal report, available on request.

C. van Trigt, in Proc. 10th. Conf. on Phenomena in Ionized Gases (Oxford U. P., London, 1971), p. 396.

U. Kogelschatz, E. Schade, in Proc. 10th Int. Conf. on Phenomena in Ionized Gases (Oxford U. P., London, 1971), p. 198.

W. Bötticher, U. Kogelschatz, E. Schade, Z. Naturforsch. (in press).

H. Wolter, Handbuch der Physik XXIV, Grundlagen der Optik (Springer, Berlin, 1956), p. 572.

M. Neumann, DVL-91 (Deutsche Versuchsanst. f. Luftfahrt, 1961).

M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1965), p. 121.

M. Abramovitz, I. A. Stegun, Handbook of Mathematical Functions (U.S. Govt. Printing Office, Washington, D. C., 1968).

D. J. H. Wort, CLM-R 27 (Culham, 1963).

F. Keilmann, IPP IV/4 (Garching, 1970).

H. Salzmann, LGI 68, 25 (Frascati, 1968).

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