1974
DOI: 10.1029/rs009i001p00017
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Analytical determination of propagation paths near gyroharmonics

Abstract: The propagation of waves in a hot magnetoplasma near gyroharmonics is studied by means of analytical ray tracing. To get the parametric equations of the paths a dispersion relation is first obtained through the electrostatic hypothesis and some mathematical approximations. For this case, it is shown that, except near reflection, waves transmitted from an ionospheric sounder travel almost along the static magnetic field and that the gradient of the magnetic field may be responsible for their reflection back to … Show more

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Cited by 20 publications
(10 citation statements)
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“…As the difference between 0 and xr/2 is shown to be less than 1 ø [Bitoun, 1974] ---2(N-1)½toHkz/(k2y + kz 2)…”
Section: Gyroharmonicsmentioning
confidence: 95%
See 1 more Smart Citation
“…As the difference between 0 and xr/2 is shown to be less than 1 ø [Bitoun, 1974] ---2(N-1)½toHkz/(k2y + kz 2)…”
Section: Gyroharmonicsmentioning
confidence: 95%
“…Theoretical equations obtained in a preceding paper [Bitoun, 1974] are generalized here to a three-dimensional reference system. The main features of the basic hypotheses are discussed briefly, and we point out the quantitative determination of wave damping.…”
Section: Introductionmentioning
confidence: 99%
“…(It should be noted, however, that these observational differences in signal time duration and intensity between the 2fu and Q3 waves may be partly due to their different propagational characteristics. The Q3 signal is attributed to sounder-generated electrostatic waves that have a group velocity nearly matched to the satellite velocity[Muldrew, 1972a], whereas the 2fu signal is usually attributed to sounder-generated electrostatic waves that are reflected in the ambient plasma and returned to the sounder antenna as demonstrated numerically for the 3fH wave byMuldrew [ 1972b] and analytically for the nfu waves with n > 1 byBitoun [1974] and Bitoun et al [1975]; this analytical treatment, while not successful in explaining satellite 2fH resonance observations [Benson and Bitoun, 1979], has been successful in explaining rocket 2fu resonance observations [Bitoun et al, 1975].) The original argument by Oya [1971], that the Q3 resonance was of fundamental importance in the process of maintaining the long time duration of the D1 resonance, was based on the observed strong coupling of the variations of the frequenciesfa 3 andfo• on a diagram like Figure 3, i.e.,f Q3 --•foi + 2ftt.…”
mentioning
confidence: 99%
“…In this case, the HEX-REX separation (<100 m) may be small enough to permit the aft payload to detect the ES waves directly. Ray tracing results for frequencies near nfc [Muldrew, 1972;Bitoun, 1974] show that the least damped ES waves have raypaths largely along the magnetic field axis, travelling distances up to about 1 km. The absence of positive ES wave WAVES ON OEDIPUS A 69 signatures after about the 100-m separation may be caused by the thermal damping of these waves.…”
Section: Connectionsmentioning
confidence: 99%