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Thermospheric gravity waves: Observations and interpretation using the transfer function model (TFM)

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Abstract

Gravity waves are prominent in the polar region of the terrestiral thermosphere, and can be excited by perturbations in Joule heating and Lorents force due to magnetospheric processes. We show observations from the Dynamics Explorer-2 satellite to illustrate the complexity of the phenomenon and review the transfer function model (TFM) which has guided our interpretation. On a statistical basis, the observed atmospheric perturbations decrease from the poles toward the equator and tend to correlate with the magnetic activity index, Ap, although individual measurements indicate that the magnetic index is often a poor measure of gravity wave excitation. The theoretical models devised to describe gravity waves are multifaceted. On one end are fully analytical, linear models which are based on the work of Hines. On the other end are fully numerical, thermospheric general circulation models (TGCMs) which incorporate non-linear processes and wave mean flow interactions. The transfer function model (TFM) discussed in this paper is between these two approaches. It is less restrictive than the analytical approach and relates the global propagation of gravity waves to their excitation. Compared with TGCMs, the TFM is simplified by its linear approximation; but it is not limited in spatial and temporal resolution, and the TFM describes the wave propagation through the lower atmosphere. Moreover, the TFM is semianalytical which helps in delineating the wave components. Using expansions in terms of spherical harmonics and Fourier components, the transfer function is obtained from numerical height integration. This is time consuming computationally but needs to be done only once. Once such a transfer function is computed, the wave response to arbitrary source distributions on the globe can then be constructed in very short order. In this review, we discuss some numerical experiments performed with the TFM, to study the various wave components excited in the auroral regions which propagate through the thermosphere and lower atmosphere, and to elucidate the properties of realistic source geometries. The model is applied to the interpretation of satellite measurements. Gravity waves observed in the thermosphere of Venus are also discussed.

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References

  • Beer, T.: 1974, Atmospheric Waves, John Wiley, New York.

    Google Scholar 

  • Bowman, G. G.: 1965, Atmospheric Terrest. Phys. 27, 1247.

    Google Scholar 

  • Brinton, H. C., Taylor, H. A., Niemann, H. B., Mayr, H. G., Nagy, A. F., Cravens, T. E., and Strobel, D. F.: 1980, Geophys. Res. Letters 7, 865.

    Google Scholar 

  • Brinton, H. C., Taylor, H. A., Jr., Niemann, H. B., and Mayr, H. G.: 1979, Bull. Am. Astron. Soc. 11, 538.

    Google Scholar 

  • Chimonas, G. and Hines, C. O.: 1970, Planetary Space Sci. 18, 583.

    Google Scholar 

  • Cole, K. D.: 1962, Australian J. Phys. 15, 223.

    Google Scholar 

  • Cole, K. D.: 1971, Planetary Space Sci. 21, 1633.

    Google Scholar 

  • Cole, K. D. and Hickey, M. P.: 1981, Adv. Space Res. 1, 65.

    Google Scholar 

  • Cravens, T. E., Crawford, S. L., Nagy, A. F., and Gambosi, T. I.: 1983, J. Geophys. Res. 88, 5595.

    Google Scholar 

  • Del Genio, A. D., Straus, J. M., and Schubert, G.: 1978, Geophys. Res. Letters 5, 265.

    Google Scholar 

  • Del Genio, A. D., Schubert, G., and Straus, J. M.: 1979, ICARUS 39, 401.

    Google Scholar 

  • Dickinson, R. E., Ridley, E. C., and Roble, R. G.: 1981, J. Geophys. Res. 86, 1499.

    Google Scholar 

  • Dudis, J. J. and Reber, C. A.: 1976, Geophys. Res. Letters 3, 727.

    Google Scholar 

  • Farthing, W. H., Sugiura, M., Ledley, B. G., and Cahill, L. J., Jr.: 1981, Space Sci. Instrum 5, 551.

    Google Scholar 

  • Fox, J. L.: 1989, Private communication.

  • Francis, S. H.: 1975, Atmospheric Terrest. Phys. 37, 1011.

    Google Scholar 

  • Francis, S. H.: 1974, J. Geophys. Res. 79, 5245.

    Google Scholar 

  • Frank, L. A., Craven, J. D., Ackerson, K. L., English, M. R., Eather, R. H., and Carovillano, R. L.: 1981, Space Sci. Instrum. 5, 369.

    Google Scholar 

  • Frank, L. A., Craven, J. D., Burch, J. L., and Winningham, J. D.: 1982, Geophys. Res. Letters 9, 1001.

    Google Scholar 

  • Friedman, J. P.: 1966, J. Geophys. Res. 71, 1033.

    Google Scholar 

  • Georges, T. M.: 1968, J. Atmospheric Terrest. Phys. 30, 735.

    Google Scholar 

  • Gossard, E. E. and Hooke, W. H.: 1975, Waves in the Atmosphere, Atmospheric Infrasound and Gravity Waves — Their Generation and Propagation, Elsevier Scientific, Amsterdam.

    Google Scholar 

  • Gross, S. H.: 1983, EOS, Trans. AGU 64, 274.

    Google Scholar 

  • Harper, R. M.: 1972, J. Geophys. Res. 77, 1311.

    Google Scholar 

  • Hedin, A. E.: 1983, J. Geophys. Res. 88, 10170.

    Google Scholar 

  • Hedin, A. E. and Mayr, H. G.: 1987, J. Geophys. Res. 92, 11159.

    Google Scholar 

  • Hedin, A. E., Niemann, H. B., Kasprzak, W. T., and Seiff, A.: 1983, J. Geophys. Res. 88, 73.

    Google Scholar 

  • Heisler, L. H.: 1958, Australian J. Phys. 11, 79.

    Google Scholar 

  • Herrero, F. A. and Meriwether, J. W.: 1981, J. Atmospheric Terrest. Phys. 43, 859.

    Google Scholar 

  • Herrero, F. A., Hedin, A. E., Hoegy, W. R., Mayr, H. G., and Wharton, L. E.: 1983, EOS Trans. AGU 64, 274.

    Google Scholar 

  • Herrero, F. A., Mayr, H. G., Harris, I., Varosi, F., and Meriwether, J. W. Jr.: 1984, Geophys. Res. Letters 11, 939.

    Google Scholar 

  • Hines, C. O.: 1960, Can. J. Phys. 38, 1441.

    Google Scholar 

  • Hines, C. O. et al.: 1974, The Upper Atmosphere in Motion, Geophys. Monograph Ser., Vol. 18, AGU, Washington D.C.

    Google Scholar 

  • Hunsucker, R. D.: 1982, Rev. Geophys. Space Phys. 20, 293.

    Google Scholar 

  • Kasprzak, W. T., Hedin, A. E., Mayr, H. G., and Niemann, H. B.: 1987, J. Geophys. Res. 93, 11237.

    Google Scholar 

  • Kato, S.: 1980, Dynamics of the Upper Atmosphere, D. Reidel Publ. Co., Dordrecht, Holland.

    Google Scholar 

  • Keating, G. M., Nicholson, J. Y., and Lake, L. R.: 1980, J. Geophys. Res. 85, 7941.

    Google Scholar 

  • Keating, G. M., Taylor, F. W., Nicholson, J. Y., and Hinson, E. W.: 1979a, Science 205, 62.

    Google Scholar 

  • Keating, G. M., Tolson, R. H., and Hinson, E. W.: 1979b, Science 203, 772.

    Google Scholar 

  • Knudsen, W. C., Spenner, K., and Miller, K. L.: 1981, Geophys. Res. Letters 8, 241.

    Google Scholar 

  • Knudsen, W. C., Spenner, K., Miller, K. L., and Novak, V.: 1980, J. Geophys. Res. 85, 7803.

    Google Scholar 

  • Larsen, M. F. and Mikkelsen, I. S.: 1983, J. Geophys. Res. 88, 3158.

    Google Scholar 

  • Maynard, N. C., Bielecki, E. A., and Burdick, H. F.: 1981, Space Sci. Instrum. 5, 523.

    Google Scholar 

  • Mayr, H. G. and Harris, I.: 1978, J. Geophys. Res. 83, 3327.

    Google Scholar 

  • Mayr, H. G. and Volland, H.: 1976, J. Geophys. Res. 81, 671.

    Google Scholar 

  • Mayr, H. G., Harris, I., Varosi, F., and Herrero, F. A.: 1984a, J. Geophys. Res. 89, 10929.

    Google Scholar 

  • Mayr, H. G., Harris, I., Varosi, F., and Herrero, F. A.: 1984b, J. Geophys. Res. 89, 10961.

    Google Scholar 

  • Mayr, H. G., Harris, I., Varosi, F., and Herrero, F. A., Volland, H., Spencer, N. W., Hedin, A. E., Hartle, R. E., Taylor, H. A. Jr., Wharton, L. E., and Carignan, G. R.: 1985, Adv. Space Res. 5, 4, 283.

    Google Scholar 

  • Mayr, H. G., Harris, I., Varosi, F., and Herrero, F. A.: 1987, J. Geophys. Res. 92, 7657.

    Google Scholar 

  • Mayr, H. G., Harris, I., Kasprzak, W. T., Dube, M., and Varosi, F.: 1988, J. Geophys. Res. 93, 11247.

    Google Scholar 

  • Meriwether, J. W. Jr., Heppner, J. P., Stolarik, J. D., and Wescott, E. M.: 1973, J. Geophys. Res. 78, 6643.

    Google Scholar 

  • Morse, P. M. and Feshbach, H.: 1953, Methods of Theoretical Physics, McGraw-Hill, New York.

    Google Scholar 

  • Munro, G. H.: 1950, Proc. Roy. Soc., London Ser. A202, 208.

    Google Scholar 

  • Munro, G. H.: 1958, Australian J. Phys. 11, 91.

    Google Scholar 

  • Munro, G. H.: 1948, Nature 162, 886.

    Google Scholar 

  • Niemann, H. B.: 1977, Space Sci. Rev. 20, 489.

    Google Scholar 

  • Niemann, H. B., Hartle, R. E., Hedin, A. E., Kasprzak, W. T., Spencer, N. W., Hunten, D. M., and Carignan, G. R.: 1979a, Science 205, 54.

    Google Scholar 

  • Niemann, H. B., Hartle, R. E., Kasprzak, W. T., Spencer, N. W., Hunten, D. M., and Carignan, G. R.: 1979b, Science 203, 770.

    Google Scholar 

  • Niemann, H. B., Kasprzak, W. T., Hedin, A. E., Hunten, D. M., and Spencer, N. W.: 1980, J. Geophys. Res. 85, 7817.

    Google Scholar 

  • Pekeris, C. L.: 1939, Proc. Roy. Soc. London Ser. A171, 434.

    Google Scholar 

  • Pekeris, C. L.: 1948, Phys. Rev. 73, 145.

    Google Scholar 

  • Potter, W. D., Kayser, D. C. and Mauersberger, K.: 1976, J. Geophys. Res. 81, 5002.

    Google Scholar 

  • Reber, C. A., Hedin, A. E., Pelz, D. T., Potter, W. E., and Brace, L. H.: 1975, J. Geophys. Res. 80, 4576.

    Google Scholar 

  • Richmond, A. D.: 1978a, J. Geophys. Res. 83, 1385.

    Google Scholar 

  • Richmond, A. D.: 1978b, J. Geophys. Res. 83, 4131.

    Google Scholar 

  • Richmond, A. D.: 1979, J. Geophys. Res. 84, 1880.

    Google Scholar 

  • Richmond, A. D. and Matsushita, S.: 1975, J. Geophys. Res. 80, 2839.

    Google Scholar 

  • Roble, R. G., Dickinson, R. E., and Ridley, E. C.: 1982, J. Geophys. Res. 87, 1599.

    Google Scholar 

  • Roble, R. G., Forbes, J. M., and Marcos, F. A.: 1987, J. Geophys. Res. 92, 6045.

    Google Scholar 

  • Roble, R. G., Richmond, A. D., Oliver, W. L., and Harper, R. M.: 1978, J. Geophys. Res. 83, 999.

    Google Scholar 

  • Schubert, G.: 1983, in D. M. Hunten, L. Colin, T. M. Donahue, and V. I. Moroz (eds.), General Circulation and the Dynamical State of the Venus Atmosphere, Venus, The University of Arizona Press.

  • Schubert, G. and Walterscheid, R. L.: 1984, J. Atmospheric Sci. 41, 1202.

    Google Scholar 

  • Schubert, G., Covey, C., Del Genio, A., Elson, L. S., Keating, G., Seiff, A., Young, R. E., Apt, J., Counselman, C. C. III, Kliore, A. J., Limaye, S. S., Revercomb, H. E., Sromovsky, L. A., Suomi, V. E., Taylor, F., Woo, R., and von Zahn, U.: 1980, J. Geophys. Res. 85, 8007.

    Google Scholar 

  • Seiff, A., Kirk, D. B., Young, R. E., Blanchard, R. C., Findlay, J. T., Kelly, O. M., and Sommer, S. C.: 1980, J. Geophys. Res. 85, 7903.

    Google Scholar 

  • Spencer, N. W., Wharton, L. E., Niemann, H. B., Hedin, A. E., Carignan, G. R., and Maurer, J. C.: 1981, Space Sci. Instrum. 5, 417.

    Google Scholar 

  • Spencer, N. W., Theis, R. F., Wharton, L. E., and Carignan, G. R.: 1976, Geophys. Res. Letters 3, 313.

    Google Scholar 

  • Spencer, N. W., Wharton, L. E., Carignan, G. R., and Maurer, J. C.: 1982, Geophys. Res. Letters 9, 953.

    Google Scholar 

  • Taylor, H. A., Jr., Brinton, H. C., Bauer, S. J., Hartle, R. E., Cloutier, P. A., and Daniell, R. E.: 1980, J. Geophys. Res. 85, 7765.

    Google Scholar 

  • Taylor, H. A., Jr., Hartle, R. E., Niemann, H. B., Brace, L. H., Daniell, R. E., Bauer, S. J., and Kliore, A. J.: 1982, Icarus 51, 283.

    Google Scholar 

  • Testud, J.: 1970, J. Atmospheric Terrest. Phys. 32, 1793.

    Google Scholar 

  • Thome, G.: 1968, J. Geophys. Res. 73, 6319.

    Google Scholar 

  • Thome, G.: 1969, J. Geophys. Res. 74, 1891.

    Google Scholar 

  • Trinks, H. and Mayr, H. G.: 1976, J. Geophys. Res. 81, 4023.

    Google Scholar 

  • Varga, R.: 1962, Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, NJ.

    Google Scholar 

  • Volland, H.: 1988, Atmospheric Tidal and Planetary Waves, Kluwer Academic Publishers, Dordrecht, Holland.

    Google Scholar 

  • Volland, H. and Mayr, H. G.: 1971, J. Geophys. Res. 76, 3764.

    Google Scholar 

  • Volland, H. and Mayr, H. G.: 1973, J. Geophys. Res. 78, 3991.

    Google Scholar 

  • Volland, H. and Mayr, H. G.: 1972, Space Research XII, 1095.

    Google Scholar 

  • Von Zahn, U.: 1977, Space Sci. Rev. 20, 451.

    Google Scholar 

  • Von Zahn, U., Fricke, K. H., Hunten, D. M., Krankowsky, D., Mauersberger, K., and Nier, A. O.: 1980, J. Geophys. Res. 85, 7829.

    Google Scholar 

  • Von Zahn, U., Fricke, K. H., Hoffmann, H. J., and Pelka, K.: 1979a, Geophys. Res. Letters 6, 337.

    Google Scholar 

  • Von Zahn, U., Krankowsky, D., Mauersberger, K., Nier, A. O., and Hunten, D. M.: 1979b, Science 203, 768.

    Google Scholar 

  • Von Zahn, U., Kumar, S., Niemann, H., and Prinn, R.: in D. M. Hunten, L. Colin, T. M. Donahue, and V. I. Moroz (eds.), General Circulation and the Dynamical State of the Venus Atmosphere, Venus, The University of Arizona Press.

  • Walterscheid, R. L.: 1982, J. Geophys. Res. 87, 10527.

    Google Scholar 

  • Walterscheid, R. L. and Boucher, D. J., Jr.: 1984, J. Atmospheric Sci. 41, 1062.

    Google Scholar 

  • Winningham, J. D., Burch, J. L., Eaker, N., Blevins, V. A., and Hoffman, R. A.: 1981, Space Sci. Instrum. 5, 465.

    Google Scholar 

  • Yanowitch, M.: 1967a, J. Fluid Mech. 29, 209.

    Google Scholar 

  • Yanowitch, M.: 1967b, Can. J. Phys. 45, 2003.

    Google Scholar 

  • Yanowitch, M.: 1969, J. Comput. Phys. 4, 531.

    Google Scholar 

  • Yen, K. C. and Liu, C. H.: 1974, Rev. Geophys. Space Phys. 12, 193.

    Google Scholar 

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Mayr, H.G., Harris, I., Herrero, F.A. et al. Thermospheric gravity waves: Observations and interpretation using the transfer function model (TFM). Space Sci Rev 54, 297–375 (1990). https://doi.org/10.1007/BF00177800

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