Skip to main content
Log in

Analysis of the 5 min oscillatory photospheric motion

I: A problem in waveform classification

  • Published:
Solar Physics Aims and scope Submit manuscript

Abstract

Four Mt. Wilson measurements (T>4 h) of the photospheric motion at one point on the Sun are shown to have the characteristics of a narrow-band random process. The motion is shown to have a characteristic correlation time of 23 min and a mean power spectrum that is a smooth, single-peaked function centered at 3.4 mHz. In order to make this classification we use the analytic signal to estimate the amplitude, phase, and frequency as functions of time. The power spectrum analysis differs from the common approaches in that it uses the theoretical expression for the mean spectrum for a sequence of random pulses. Because of the random nature of the motion, we doubt the existence of more than one eigenfrequency characteristic of the photosphere as a whole. Likewise, any description of the observed motion in terms of simple deterministic functions will be inadequate for the data used here.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bhattacharyya, J. C.: 1972, Solar Phys. 24, 275.

    Google Scholar 

  • Blackman, R. B.: 1965, Data Smoothing and Prediction, Addison-Wesley, Reading, Mass.

    Google Scholar 

  • Blackman, R. B. and Tukey, J. W.: 1958, The Measurement of Power Spectra, Dover, N. Y.

    Google Scholar 

  • Bracewell, R. N.: 1965, The Fourier Transform and its Application, McGraw-Hill, New York.

    Google Scholar 

  • Brault, J. W. and White, O. R.: 1971, Astron. Astrophys. 13, 169.

    Google Scholar 

  • Deubner, F.-L.: 1967, Solar Phys. 2, 138.

    Google Scholar 

  • Deubner, F.-L.: 1972, Solar Phys. 22, 263.

    Google Scholar 

  • Dugundjii, J.: 1958, IEEE Trans. PGIT, IT-4, 1.

  • Edmonds, F. N. and Webb, C. J.: 1972, Solar Phys. 22, 276.

    Google Scholar 

  • Evans, J. W., Michard, R., and Servajean, R.: 1963, Ann. Astrophys. 26, 368.

    Google Scholar 

  • Frazier, E. N.: 1968, Astrophys. J. 152, 557.

    Google Scholar 

  • Gabor, D.: 1946, J.I.E.E. 93, 129.

    Google Scholar 

  • Gonczi, G. and Roddier, F.: 1969, Solar Phys. 8, 255.

    Google Scholar 

  • Howard, R.: 1967, Solar Phys. 2, 3.

    Google Scholar 

  • Howard, R., Tannenbaum, A. S., and Wilcox, J. M.: 1968, Solar Phys. 4, 286.

    Google Scholar 

  • Lawson, J. L. and Uhlenbeck, G. E.: 1950, Threshold Signals, MIT Rad. Lab. Series, 24, McGraw-Hill, N. Y.

    Google Scholar 

  • Leighton, R. B., Noyes, R. W., and Simon, G. W.: 1962, Astrophys. J. 135, 474.

    Google Scholar 

  • Meyer, F. and Schmidt, H. V.: 1967, Z. Astrophys. 65, 274.

    Google Scholar 

  • Middleton, D.: 1960, An Intro. to Statistical Communication Theory, McGraw-Hill, New York.

    Google Scholar 

  • Musman, S. and Rust, D. R.: 1970, Solar Phys. 13, 261.

    Google Scholar 

  • Noyes, R. W.: 1965, in R. N. Thomas (ed.), ‘Cosmical Gas Dynamics’, IAU Symp. 28, 293.

  • Oswald, J. R. V.: 1956, IRE Trans. on Cir. Theory, CT-3, p. 244.

  • Reif, R. J. and Musman, S.: 1971, Solar Phys. 20, 257.

    Google Scholar 

  • Stein, R. F. and Leibacher, J.: 1969, Astrophys. Letters 3, 95.

    Google Scholar 

  • Stix, M.: 1970, Astron. Astrophys. 4, 289.

    Google Scholar 

  • Tannenbaum, A. S., Wilcox, J. M., Frazier, E. N., and Howard, R.: 1969, Solar Phys. 9, 328.

    Google Scholar 

  • Thomas, J. H., Clark, P. A., and Clark, A., Jr.: 1971, Solar Phys. 16, 51.

    Google Scholar 

  • Ulrich, R. K.: 1970, Astrophys. J. 162, 973.

    Google Scholar 

  • Weiner, N.: 1949, Extrapolation, Interpolation, and Smoothing of Stationary Time Series, Wiley, N. Y.

    Google Scholar 

  • Welch, P. D.: 1967, IEEE Trans. AU-15, 2, 70.

    Google Scholar 

  • White, O. R.: 1972a, A Generalized Filter for Numerical Smoothing, HAO Solar Memorandum No. 182.

  • White, O. R.: 1972b, Notes on the Meaning of Frequency and Phase in the Analytic Signal, HAO Solar Memorandum No. 183.

  • White, O. R. and Cha, M. Y.:1972, Calculation of the Mean Power Spectrum of Four Mt. Wilson Time Series, HAO Solar Memorandum No. 184.

Download references

Author information

Authors and Affiliations

Authors

Additional information

The National Center for Atmospheric Research is sponsored by the National Science Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

White, O.R., Cha, M.Y. Analysis of the 5 min oscillatory photospheric motion. Sol Phys 31, 23–53 (1973). https://doi.org/10.1007/BF00156071

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00156071

Keywords

Navigation