Electric field statistics and modulation characteristics of bursty Langmuir waves observed in the cusp

LaBelle, J.; Cairns, Iver H.; Kletzing, C. A.

doi:10.1029/2010ja015277

Cited by 22 publications

(51 citation statements)

References 51 publications

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“…32 All three experiments show that Langmuir waves in the polar cusp ionosphere have waveform modulations of order 100%, with modulation frequencies ⌬f ranging from less than 1 kHz up to 50 kHz. Qualitatively, the modulated Langmuir waveforms observed in all three experiments closely resemble those in Figs.…”

Section: Applications To Trice Datamentioning

confidence: 98%

“…The multiply peaked spectra, together with the consistency of the simulated and observed waveforms, suggest an interpretation of the Langmuir waveform data in terms of multiple independently growing, relatively narrow bandwidth waves. 32 Furthermore, applying Eq. ͑10͒ to the observations of the upper limit ⌬f Ϸ 50 kHz implies that t c տ 2͑⌬͒ −1 = ͑⌬f͒ −1 Ϸ͑50 kHz͒ −1 =20 s for the Langmuir waves.…”

Section: Applications To Trice Datamentioning

confidence: 99%

“…These Langmuir waves were observed in the Twin Rockets to Investigate Cusp Electrodynamics ͑TRICE͒ flights into Earth's polar cusp ionosphere. 32 This mission provides ample data for both the envelope and waveform distributions to be reliably determined and provides the opportunity to test the envelope distributions versus SGT predictions. LaBelle et al 32 showed that the waveform distribution P͑log E͒ and the envelope distribution P e ͑log E e ͒ both follow power laws at low fields, but with different power-law exponents.…”

Section: Introductionmentioning

confidence: 99%

“…32 This mission provides ample data for both the envelope and waveform distributions to be reliably determined and provides the opportunity to test the envelope distributions versus SGT predictions. LaBelle et al 32 showed that the waveform distribution P͑log E͒ and the envelope distribution P e ͑log E e ͒ both follow power laws at low fields, but with different power-law exponents. Further study of the envelope distribution 33 showed that P e ͑log E e ͒ is well fitted by P e ͑log E e ͒ ϰ E e 2 exp͑−E e 2 / E 2 ͒.…”

Section: Introductionmentioning

confidence: 99%

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Waveform and envelope field statistics for waves with stochastically driven amplitudes

Cairns

Robinson

et al. 2010

Physics of Plasmas

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The statistically steady distributions P͑log E͒ and P e ͑log E e ͒ of waveform field E and envelope field E e are studied for time-varying waves with stochastically driven amplitudes. The waves are represented in one dimension ͑1D͒ by a single mode or superposition of multiple independent modes, whose amplitudes follow stochastic differential equations. Both distributions at low fields follow power laws: P͑log E͒ ϰ E p and P e ͑log E e ͒ ϰ E e q with distinct exponents p and q. Transitions in both distributions are found between the single-mode and multimode cases, with the distributions in the latter essentially independent of the number N ͑provided N Ն 2͒ of modes. For N Ն 2, p Ϸ +1.0, q Ϸ +2.0, and both distributions agree quantitatively with independent analytic predictions. Applications to Langmuir waves observed in Earth's polar cusp ionosphere show that both distributions for N Ն 2 agree quantitatively with the respective observations, suggesting that the Langmuir waves may be 1D and have a stochastic driver.

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Section: Applications To Trice Datamentioning

confidence: 98%

Section: Applications To Trice Datamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Waveform and envelope field statistics for waves with stochastically driven amplitudes

Cairns

Robinson

et al. 2010

Physics of Plasmas

Self Cite

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“…Comparing STEREO/WAVES measurements with theoretical models, they concluded that scattering of Langmuir waves by density fluctuations is mandatory to reproduce such a behavior. Finally, LaBelle et al (2010) also invoke the linear growth of Langmuir waves in an homogeneous medium to explain the highly modulated electric waveforms observed in the Earth polar cusp.…”

Section: Role Of Density Fluctuations In the Dynamics Of Langmuir Wavesmentioning

confidence: 98%

Commission 49: Interplanetary Plasma and Heliosphere

Gopalswamy¹,

Mann²,

Bougeret³

et al. 2011

Proc. IAU

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Commission 49 (Interplanetary Plasma and Heliosphere) is part of IAU Division II (Sun and Heliosphere). The research topics include large-scale solar disturbances such as coronal mass ejections (CMEs), shocks, and corotating interaction regions (CIRs) propagating into the heliosphere. The disturbances propagate through the solar wind, which essentially defines the heliosphere. The solar disturbances provide large-scale laboratory to study plasma processes over various time and spatial scales, the highest spatial scale being the size of the heliosphere itself (~100 AU). These solar disturbances are related to solar activity in the form of active regions and coronal holes. Solar eruptions are accompanied by particle acceleration and the particles can be hazardous to life on earth in various ways from modifying the ionosphere to damaging space technology and increasing lifetime radiation dosage to astronauts and airplane crew. Particle acceleration in solar eruptions poses fundamental physics questions because the underlying mechanisms are not fully understood. One of important processes is the particle acceleration by shocks, which occurs throughout the heliosphere. The heliosphere has both neutral and ionized material, with interesting interaction between the two components.

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Current‐driven Langmuir oscillations and amplitude modulations—Another view on electron beam‐plasma interaction

Sauer

Sydora

2015

JGR Space Physics

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The origin of Langmuir amplitude modulations and harmonic waves observed in the solar wind and in planetary foreshock regions is investigated in beam plasmas where the saturation process of the beam instability is accompanied with the formation of a plateau distribution. This saturated state represents a current which is shown to drive homogeneous electric field oscillations at the plasma frequency. This simple mechanism has been ignored in most numerical studies based on Vlasov or particle-in-cell simulations because of the use of the Poisson equation which is not suitable to describe the mechanism of current drive in plasmas with immobile ions; instead, Ampere's law must be used. A simple fluid description of stable plateau plasmas, coupled with Ampere's law, is applied to illustrate the basic elements of current-driven Langmuir oscillations. If beam-generated Langmuir/electron-acoustic waves with frequencies above or below the plasma frequency are simultaneously present, beating of both wave modes leads to Langmuir amplitude modulations, thus providing an alternative to parametric decay. Furthermore, very important implications of our studies (presented separately) concern the electrostatic and electromagnetic second harmonic generation by nonlinear interaction of Langmuir oscillations with finite wave number modes which are driven by the plateau current as well.

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Electric field statistics and modulation characteristics of bursty Langmuir waves observed in the cusp

Cited by 22 publications

References 51 publications

Waveform and envelope field statistics for waves with stochastically driven amplitudes

Waveform and envelope field statistics for waves with stochastically driven amplitudes

Commission 49: Interplanetary Plasma and Heliosphere

Current‐driven Langmuir oscillations and amplitude modulations—Another view on electron beam‐plasma interaction

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