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Geospace Electromagnetic Waves and Radiation pp 3–35Cite as

Active Wave Experiments in Space Plasmas: The Z Mode

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Part of the book series: Lecture Notes in Physics ((LNP,volume 687))

Abstract

The term Z mode is space physics notation for the low-frequency branch of the extraordinary (X) mode. It is an internal, or trapped, mode of the plasma confined in frequency between the cutoff frequency f z and the upper-hybrid frequency fuh which is related to the electron plasma frequency fpe and the electron cyclotron frequency fce by the expression f 2 uh = f 2 pe + f 2 ce ; f z is a function of fpe and f ce .

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References

  1. Allis, W.P., S.J. Buchsbaum, and A. Bers: Waves in anisotropic plasmas, MIT Press, Cambridge, 1963.

    Google Scholar 

  2. Balmain, K.G.: Dipole admittance for magnetoplasma diagnostics, IEEE Trans. Antennas Propag. 17, 389–392, 1969.

    Article  Google Scholar 

  3. Bauer, S.J. and R.G. Stone: Satellite observations of radio noise in the magnetosphere, Nature 218, 1145–1147, 1968.

    Article  Google Scholar 

  4. Beghin, C., J.L. Rauch, and J.M. Bosqued: Electrostatic plasma waves and HF auroral hiss generated at low altitude, J. Geophys. Res., 94, 1359–1379, 1989.

    Google Scholar 

  5. Beghin, C., J.L. Rauch, and J.M. Bosqued: Electrostatic plasma waves and HF auroral hiss generated at low altitude, J. Geophys. Res. 94, 1359–1379, 1989.

    Google Scholar 

  6. Benson, R.F.: Ion effects on ionospheric electron resonance phenomena, Radio Sci. 10, 173–185, 1975.

    Google Scholar 

  7. Benson, R.F.: Stimulated plasma waves in the ionosphere, Radio Sci. 12, 861–878, 1977.

    Google Scholar 

  8. Benson, R.F.: Stimulated plasma instability and nonlinear phenomena in the ionosphere, Radio Sci. 17, 1637–1659, 1982.

    Google Scholar 

  9. Benson, R.F.: Field-aligned electron density irregularities near 500 km – Equator to polar cap topside sounder Z mode observations, Radio Sci. 20, 477–485, 1985.

    Google Scholar 

  10. Benson, R.F.: Evidence for the stimulation of field-aligned electron density irregularities on a short time scale by ionospheric topside sounders, J. Atm. and Solar-Terr. Phys. 59, 2281–2293, 1997.

    Article  Google Scholar 

  11. Benson, R.F., V.A. Osherovich, J. Fainberg, and B.W. Reinisch: Classification of IMAGE/RPI-stimulated plasma resonances for the accurate determination of magnetospheric electron-density and magnetic field values, J. Geophys. Res. 108, 1207, doi:10.1029/2002JA009589, 2003.

    Article  Google Scholar 

  12. Benson, R.F., P.A. Webb, J.L. Green, L. Garcia, and B.W. Reinisch: Magnetospheric electron densities inferred from upper-hybrid band emissions, Geophys. Res. Lett. 31, L20803, doi:1029/2004GL020847, 2004.

    Article  Google Scholar 

  13. Bernstein, I.B.: Waves in a plasma in a magnetic field, Phys. Rev. 109, 10–21, 1958.

    Article  Google Scholar 

  14. Budden, K.G.: The propagation of radio waves, the theory of radio waves of low power in the ionosphere and magnetosphere, 669 pp., Cambridge University Press, New York, 1985.

    Google Scholar 

  15. Burch, J.L.: The first two years of IMAGE, Space Sci. Rev. 109, 1–24, 2003.

    Article  Google Scholar 

  16. Calvert, W., Oblique z-mode echoes in the topside ionosphere, J. Geophys. Res. 71, 5579–5583, 1966.

    Google Scholar 

  17. Calvert, W.: Wave ducting in different wave modes, J. Geophys. Res., 100 (A9), 17,491–17,497, 1995.

    Google Scholar 

  18. Carpenter, D.L. and R.R. Anderson: An ISEE/whistler model of equatorial electron density in the magnetosphere, J. Geophys. Res. 97, 1097–1108, 1992.

    Google Scholar 

  19. Carpenter, D.L., M.A. Spasojevic, T.F. Bell, U.S. Inan, B.W. Reinisch, I.A. Galkin, R.F. Benson, J.L. Green, S.F. Fung, and S.A. Boardsen: Small-scale field-aligned plasmaspheric density structures inferred from RPI on IMAGE, J. Geophys. Res., 107(A9), 1258, doi:10.1029/2001JA009199, 2002.

    Article  Google Scholar 

  20. Carpenter, D.L., T.F. Bell, U.S. Inan, R.F. Benson, V.S. Sonwalkar, B.W. Reinisch, and D.L. Gallagher: Z-mode sounding within propagation "cavities" and other inner magnetospheric regions by the RPI instrument on the IMAGE satellite, J. Geophys. Res. 108, 1421, doi:10.1029/2003JA010025, 2003.

    Article  Google Scholar 

  21. Denisenko, P.F., N.A. Zabotin, D.S. Bratsun, and S.A. Pulinets: Detection and mapping of small-scale irregularities by topside sounder data, Ann. Geophysicæae 11, 595–600, 1993.

    Google Scholar 

  22. Dyson, P.L. and R.F. Benson: Topside sounder observations of equatorial bubbles, Geophys. Res. Lett. 5, 795–798, 1978.

    Google Scholar 

  23. Eckersley, T.L.: Discussion of the ionosphere, Proc. Roy. Soc. A141, 708–715, 1933.

    Google Scholar 

  24. Ellis, G.R.: The Z propagation hole in the ionosphere, J. Atmosph. Terr. Phys. 8, 43–54, 1956.

    Article  Google Scholar 

  25. Franklin, C.A. and M.A. Maclean: The design of swept-frequency topside sounders, Proc. IEEE 57, 897–929, 1969.

    Google Scholar 

  26. Fung, S.F., R.F. Benson, D.L. Carpenter, J.L. Green, V. Jayanti, I.A. Galkan, and B.W. Reinisch: Guided Echoes in the Magnetosphere: Observations by Radio Plasma Imager on IMAGE, Geophys. Res. Lett. 3, 1589, doi:10.1029/2002GL016531, 2003.

    Article  Google Scholar 

  27. Goertz, C.K. and R.J. Strangeway: Plasma waves, in: Introduction to Space Physics, edited by M.G. Kivelson, and C.T. Russell, pp. 356–399, Cambridge University Press, New York, 1995.

    Google Scholar 

  28. Gurnett, D.A., S.D. Shawhan, and R.R. Shaw: Auroral hiss, Z mode radiation, and auroral kilometric radiation in the polar magnetosphere: DE 1 observations, J. Geophys. Res. 88, 329–340, 1983.

    Google Scholar 

  29. Horita, R.E. and H.G. James: Enhanced Z-mode radiation from a dipole, Adv. Space Res. 29, 1375–1378, 2002.

    Article  Google Scholar 

  30. Horita, R.E. and H.G. James: Two-point studies of fast Z-mode waves with dipoles in the ionosphere, Radio Sci., 39, RS4001, doi:10.1029/2003RS002994, 2004.

    Article  Google Scholar 

  31. Huang, X., B.W. Reinisch, P. Song, P. Nsumei, J.L. Green, and D.L. Gallagher: Developing an empirical density model of the plasmasphere using IMAGE/RPI observations, Adv. Space Res. 33, 829–832, 2004.

    Article  Google Scholar 

  32. Jackson, J.E.: The reduction of topside ionograms to electron-density profiles, Proc. IEEE 57, 960–976, 1969.

    Google Scholar 

  33. Jackson, J.E. and E.S. Warren: Objectives, history, and principal achievments of the topside sounder and ISIS programs, Proc. IEEE 57, 861–865, 1969.

    Google Scholar 

  34. James, H.G.: Wave propagation experiments at medium frequencies between two ionospheric satellites, 1, General results, Radio Sci. 13, 531–542, 1978.

    Google Scholar 

  35. James, H.G.: Wave propagation experiments at medium frequencies between two ionospheric satellites 3. Z mode pulses, J. Geophys. Res. 84, 499–506, 1979.

    Google Scholar 

  36. James, H.G.: Guided Z mode propagation observed in the OEDIPUS A tethered rocket experiment, J. Geophys. Res. 96, 17,865–17,878, 1991.

    Google Scholar 

  37. James, H.G.: Slow Z-mode radiation from sounder-accelerated electrons, J. Atmos. Solar-Terr. Phys. 66, 1755–1765, 2004.

    Article  Google Scholar 

  38. James, H.G., Radiation from sounder-accelerated electrons, Adv. Space Res., in press, 2005.

    Google Scholar 

  39. Kelso, J.M.: Radio ray propagation in the ionosphere, 408 pp., McGraw Hill, New York, 1964.

    Google Scholar 

  40. Kuehl, H.H.: Electromagnetic radiation from an electric dipole in a cold anisotropic plasma, Phys. Fluids 5, 1095–1103, 1962.

    Article  Google Scholar 

  41. Kuo, S.P., M.C. Lee, and P. Kossey: Excitation of short-scale field-aligned electron density irregularities by ionospheric topside sounders, J. Geophys. Res. 104, 19,889–19,894, 1999.

    Article  Google Scholar 

  42. Kurth, W.S., G.B. Hospodarsky, D.A. Gurnett, M.L. Kaiser, J.-E. Wahlund, A. Roux, P. Canu, P. Zarka, and Y. Tokarev: An overview of observations by the Cassini radio and plasma wave investigation at Earth, J. Geophys. Res. 106, 30239–30252, 2001.

    Article  Google Scholar 

  43. LaBelle, J. and R.A. Treumann: Auroral radio emissions, 1. hisses, roars, and bursts, Space Sci. Rev. 101, 295–440, 2002.

    Article  Google Scholar 

  44. Lewis, R.M. and J.B. Keller: Conductivity tensor and dispersion equation for a plasma, Phys. Fluids, 5, 1248–1264, 1962.

    Article  Google Scholar 

  45. Lockwood, G.E.K.: A ray-tracing investigation of ionospheric Z-mode propagation, Can. J. Phys. 40, 1840–1843, 1962.

    Google Scholar 

  46. McAfee, J.R.: Ray trajectories in an anisotropic plasma near plasma resonance, J. Geophys. Res. 73, 5577–5583, 1968.

    Google Scholar 

  47. McAfee, J.R.: Topside ray trajectories near the upper hybrid resonance, J. Geophys. Res. 74, 6403–6408, 1969.

    Google Scholar 

  48. Muldrew, D.B.: Radio propagation along magnetic field-aligned sheets of ionization observed by the Alouette topside sounder, J. Geophys. Res. 68, 5355–5370, 1963.

    Google Scholar 

  49. Muldrew, D.B.: Nonvertical propagation and delayed-echo generation observed by the topside sounders, Proc. IEEE 57, 1097–1107, 1969.

    Article  Google Scholar 

  50. Muldrew, D.B.: Electron resonances observed with topside sounders, Radio Sci. 7, 779–789, 1972.

    Google Scholar 

  51. Muldrew, D.B. and M.F. Estabrooks: Computation of dispersion curves for a hot magnetoplasma with application to the upper-hybrid and cyclotron frequencies, Radio Sci. 7, 579–586, 1972.

    Google Scholar 

  52. Osherovich, V.A., J. Fainberg, R.F. Benson, and R.G. Stone: Theoretical analysis of resonance conditions in magnetized plasmas when the plasma/gyro frequency ratio is close to an integer, J. Atm. and Solar-Terr. Phys. 59, 2361–2366, 1997.

    Article  Google Scholar 

  53. Oya, H.: Conversion of electrostatic plasma waves into electromagnetic waves: numerical calculation of the dispersion relation for all wavelengths, Radio Sci. 6, 1131–1141, 1971.

    Google Scholar 

  54. Poeverlein, H.: Strahlwege von Radiowellen in der Ionosphäre, Z. Angew. Phys. 1, 517, 1949.

    Google Scholar 

  55. Pulinets, S.A.: Prospects of topside sounding, in WITS handbook N2, edited by C.H. Liu, pp. 99–127, SCOSTEP Publishing, Urbana, Illinois, 1989.

    Google Scholar 

  56. Pulinets, S.A., P.F. Denisenko, N.A. Zabotin, and T.A. Klimanova: New method for small-scale irregularities diagnostics from topside sounder data, in: SUNDIAL Workshop, McLean, Virginia, 1989.

    Google Scholar 

  57. Ratcliffe, J.A.: The Magneto-Ionic Theory and its Applications to the Ionosphere, 206 pp., Cambridge University Press, New York, 1959.

    Google Scholar 

  58. Reinisch, B.W.: Modern Ionosondes, in: Modern Ionospheric Science, edited by H. Kohl, R. Ruster, and K. Schlegel, pp. 440–458, European Geophysicæal Society, Katlenburg-Lindau, Germany, 1996.

    Google Scholar 

  59. Reinisch, B.W., D.M. Haines, K. Bibl, G. Cheney, I.A. Gulkin, X. Huang, S.H. Myers, G.S. Sales, R.F. Benson, S.F. Fung, J.L. Green, W.W.L. Taylor, J.-L. Bougeret, R. Manning, N. Meyer-Vernet, M. Moncuquet, D.L. Carpenter, D.L. Gallagher, and P. Reiff: The radio plasma imager investigation on the IMAGE spacecraft, Space Sci. Rev. 91, 319–359, 2000.

    Article  Google Scholar 

  60. Reinisch, B.W., X. Huang, D.M. Haines, I.A. Galkin, J.L. Green, R.F. Benson, S.F. Fung, W.W.L. Taylor, P.H. Reiff, D.L. Gallagher, J.-L. Bougeret, R. Manning, D.L. Carpenter, and S.A. Boardsen: First results from the radio plasma imager on IMAGE, Geophys. Res. Lett. 28, 1167–1170, 2001a.

    Article  Google Scholar 

  61. Reinisch, B.W., X. Huang, P. Song, G.S. Sales, S.F. Fung, J.L. Green, D.L. Gallagher, and V.M. Vasyliunas: Plasma density distribution along the magnetospheric field: RPI observations from IMAGE, Geophys. Res. Lett. 28, 4521–4524, 2001b.

    Article  Google Scholar 

  62. Sonwalkar, V.S., D.L. Carpenter, T.F. Bell, M.A. Spasojevic, U.S. Inan, J. Li, X. Chen, A. Venkatasubramanian, J. Harikumar, R.F. Benson, W.W.L. Taylor, and B.W. Reinisch: Diagnostics of magnetospheric electron density and irregularities at altitudes <5000 km using whistler and Z mode echoes from radio sounding on the IMAGE satellite, J. Geophys. Res. 109, A11212, doi:10.1029/2004JA010471, 2004.

    Article  Google Scholar 

  63. Stix, T.H.: The Theory of Plasma Waves, 283 pp., McGraw-Hill, New York, 1962.

    Google Scholar 

  64. Thomas, J.O.: The distribution of electrons in the ionosphere, Proc. IRE 47, 162–175, 1959.

    Google Scholar 

  65. Tsyganenko, N.A.: Modeling the Earth’s magnetospheric magnetic field con-fined within a realistic magnetopause, J. Geophys. Res. 100, 5599–5612, 1995.

    Article  Google Scholar 

  66. Tsyganenko, N.A.: effects of the solar wind conditions on the global magnetospheric configuration as deduced from data-based field models, in 3rd International Conference on Substorms (ICS-3), pp. 181–185, ESA SP-389, Versailles, France, 1996.

    Google Scholar 

  67. Tsyganenko, N.A. and D.P. Stern: Modeling the global magnetic field of the large-scale Birkeland current systems, J. Geophys. Res. 101, 27,187–27,198, 1996.

    Article  Google Scholar 

  68. Walsh, D., F.T. Haddock, and H.F. Schulte: Cosmic radio intensities at 1.225 and 2.0 Mc measured up to an altitude of 1700 km, in: Space Research, edited by P. Muller, pp. 935–959, North Holland Publishing Company, Amsterdam, 1964.

    Google Scholar 

  69. Zabotin, N.A., D.S. Bratsun, S.A. Pulinets, and R.F. Benson: Response of topside radio sounding signals to small-scale field-aligned ionospheric irregularities, J. Atmosph. Solar-Terr. Phys. 59, 2231–2246, 1997.

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. NASA/Goddard Space Flight Center, Greenbelt, MD, USA

    R.F. Benson, P.A. Webb & J.L. Green

  2. Stanford University, California, USA

    D.L. Carpenter

  3. University of Alaska Fairbanks, Alaska, USA

    V.S. Sonwalkar

  4. Communications Research Centre, Toronto, Canada

    H.G. James

  5. University of Massachusetts Lowell, Massachusetts, USA

    B.W. Reinisch

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  1. R.F. Benson
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Editors and Affiliations

  1. Department of Physics, Wilder Laboratory 6127 Dartmouth College, 03755, Hanover, NH, USA

    James W. LaBelle Professor

  2. Universität München Sektion Geophysik, Theresienstraße 41, München, 80333, Germany

    Rudolf A. Treumann Professor

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Benson, R. et al. (2006). Active Wave Experiments in Space Plasmas: The Z Mode. In: LaBelle, J.W., Treumann, R.A. (eds) Geospace Electromagnetic Waves and Radiation. Lecture Notes in Physics, vol 687. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-33203-0_1

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