A theoretical investigation on the parametric instability excited by X‐mode polarized electromagnetic wave at Tromsø

Wang, Xiang; Cannon, Patrick; Zhou, Chen; Honary, F.; Ni, Binbin; Zhao, Zhengyu

doi:10.1002/2016ja022411

Cited by 12 publications

(15 citation statements)

References 38 publications

(73 reference statements)

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“…The ionospheric modification experiments presented above provide direct evidence that the PI is excited during X ‐mode heating period [ Blagoveshchenskaya et al ., , ; Wang et al ., , ]. The HFPLs and HFILs observed during the X ‐mode heating period indicate the excitation of parametric decay instability (PDI).…”

Section: Discussionmentioning

confidence: 99%

“…Wang et al . [] present the detailed deduction of the dispersion relation of the PI excited by the X ‐mode heating wave. Here we introduce the parallel threshold of the PDI and OTSI by the X ‐mode heating wave as below:for PDI:

E_{zth min}^{2} = \frac{4 m_{i} m_{e}}{e^{2} k \cos^{2} θ} \frac{ω_{0}^{3} c_{s} υ_{e} υ_{i}}{(ω_{0}^{2} + ω_{pe}^{2})} \frac{(1 - {normalΩ}_{e}^{2} \cos^{2} θ / ω_{0}^{2})}{(1 - {normalΩ}_{e}^{2} / ω_{0}^{2})}

for OTSI:

E_{zth min}^{2} = \frac{4 m_{e} m_{i}}{e^{2}} \frac{c_{s}^{2} ω_{0}^{3} υ_{e}}{(ω_{0}^{2} + ω_{pe}^{2})} \frac{1 - Ω_{e}^{2} \cos^{2} θ true/ ω_{0}^{2}}{1 - Ω_{e}^{2} true/ ω_{0}^{2}}

where m e , m i , and e are the electron mass, ion mass, and electron charge, respectively.…”

Section: Discussionmentioning

confidence: 99%

“…Also, as Wang et al . [] shown, the parallel electric field of the heating wave can exceed the OTSI threshold when the density irregularities exist in the ionosphere.…”

Section: Discussionmentioning

confidence: 99%

“…Wang et al . [, ] also investigate the PI excited by X ‐mode heating wave in theory and experimental observations. Their paper aims to describe a theoretical explanation for the observational evidence of PI excited by the X ‐mode heating.…”

Section: Introductionmentioning

confidence: 99%

“…They also show the magnetic zenith effects in the X-mode heating experiment, which is similar to the previous O-mode heating experiments performed at Tromsø and at Gakona, Alaska. Wang et al [2016aWang et al [ , 2016b also investigate the PI excited by X-mode heating wave in theory and experimental observations. Their paper aims to describe a theoretical explanation for the observational evidence of PI excited by the X-mode heating.…”

Section: Introductionmentioning

confidence: 99%

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Aspect dependence of Langmuir parametric instability excitation observed by EISCAT

Wang

Zhou

2017

Geophysical Research Letters

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Recent studies of X‐mode wave heating experiments observed by EISCAT (European Incoherent Scatter Scientific Association UHF radar indicate that parametric instability (PI) can be excited unexpectedly. In this paper, we reinvestigate the ionospheric heating experiment on 21 and 22 October 2012 in details. The observed HF‐enhanced ion lines (HFILs) and HF‐enhanced plasma lines (HFPLs) observed during the experiments present dependence on the heating incidence angles. The observational evidence and numerical calculation that the parallel electric field of X‐mode heating wave can exceed the PI excitation threshold at certain angles indicate the decisive role of parallel electric field for the PI excitation. The excited HFPLs and HFILs during X‐mode heating cycles also present the evidence for the non‐Maxwellian distribution of the electrons in the heated region.

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Section: Discussionmentioning

confidence: 99%

E_{zth min}^{2} = \frac{4 m_{i} m_{e}}{e^{2} k \cos^{2} θ} \frac{ω_{0}^{3} c_{s} υ_{e} υ_{i}}{(ω_{0}^{2} + ω_{pe}^{2})} \frac{(1 - {normalΩ}_{e}^{2} \cos^{2} θ / ω_{0}^{2})}{(1 - {normalΩ}_{e}^{2} / ω_{0}^{2})}

for OTSI:

E_{zth min}^{2} = \frac{4 m_{e} m_{i}}{e^{2}} \frac{c_{s}^{2} ω_{0}^{3} υ_{e}}{(ω_{0}^{2} + ω_{pe}^{2})} \frac{1 - Ω_{e}^{2} \cos^{2} θ true/ ω_{0}^{2}}{1 - Ω_{e}^{2} true/ ω_{0}^{2}}

where m e , m i , and e are the electron mass, ion mass, and electron charge, respectively.…”

Section: Discussionmentioning

confidence: 99%

“…Also, as Wang et al . [] shown, the parallel electric field of the heating wave can exceed the OTSI threshold when the density irregularities exist in the ionosphere.…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Aspect dependence of Langmuir parametric instability excitation observed by EISCAT

Wang

Zhou

2017

Geophysical Research Letters

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Parametric instability induced byX‐mode wave heating at EISCAT

et al. 2016

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In this paper, we present results of parametric instability induced by X‐mode wave heating observed by EISCAT (European Incoherent Scatter Scientific Association) radar at Tromsø, Norway. Three typical X‐mode ionospheric heating experiments on 22 October 2013, 19 October 2012, and 21 February 2013 are investigated in details. Both parametric decay instability (PDI) and oscillating two‐stream instability are observed during the X‐mode heating period. We suggest that the full dispersion relationship of the Langmuir wave can be employed to analyze the X‐mode parametric instability excitation. A modified kinetic electron distribution is proposed and analyzed, which is able to satisfy the matching condition of parametric instability excitation. Parallel electric field component of X‐mode heating wave can also exceed the parametric instability excitation threshold under certain conditions.

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