Electron beam driven lower hybrid waves in a dusty plasma

Electrostatic ion cyclotron waves are excited by axial ion beam in a dusty plasma via Cerenkov and slow cyclotron interaction. The dispersion relation of the instability is derived in the presence of positively/negatively charged dust grains. The minimum beam velocity needed for the excitation is estimated for different values of relative density of negatively charged dust grains. It is shown that the minimum beam velocity needed for excitation increases as the charge density carried by dust increases. Temperature of electrons and ions, charge and mass of dust grains, external static magnetic field and finite boundary of dusty plasma significantly modify the dispersion properties of these waves and play a crucial role in the growth of resonant ion cyclotron instability. The ion cyclotron modes with phase velocity comparable to the beam velocity possess a large growth rate. The maximum value of growth rate increases with the beam density and scales as the one-third power of the beam density in Cerenkov interaction and is proportional to the square root of beam density in slow cyclotron interaction.

show abstract

“…(23) in Eq. (20), multiplying both sides by rJ 0 p m r ð Þ , integrating over r from -R to R, and using Eq.…”

Section: Instability Analysis In Finite Geometrymentioning

confidence: 97%

“…Sharma and Sharma 22 have developed a model on excitation of EIC waves by a spiraling ion beam in a magnetized dusty plasma cylinder. More recently, Prakash et al 23,24 have studied ion beam and electron beam driven lower hybrid waves in a magnetized dusty plasma.…”

mentioning

confidence: 98%

Ion beam driven resonant ion-cyclotron instability in a magnetized dusty plasma

et al. 2014

Self Cite

View full text Add to dashboard Cite

show abstract

“…(12)], and therefore the growth rate starts at a higher frequency. As the lower hybrid frequency approaches the plasma ion frequency, the growth rate disappears, as lower hybrid modes exist only for lh pi ω <ω [4].…”

Section: Resultsmentioning

confidence: 99%

Cyclotron Interaction of Lower Hybrid Wave with Charged Particle Beams

Prakash¹

2018

IJRASET

Self Cite

View full text Add to dashboard Cite

Theoretical studies of the lower-hybrid-beam-plasma instability have been carried out. A dispersion relation is derived detailing the effect of a population of charged dust grains on the growth of lower hybrid waves excited by an electron beam and an ion beam in dusty plasma. The frequency and the growth rate of the unstable mode increase with the relative density of negatively charged dust grains. The dust charge fluctuations reduce the growth rate of the mode in the presence of beam. No growth of wave is observed for fast cyclotron interaction between the beam modes and lower hybrid mode. The growth rate is comparatively more for ion beam interaction with lower hybrid wave, as the beam is propagating along the wave, perpendicular to the external magnetic field. Keyword: Cyclotron, dispersion, frequency, growth rate, Lower hybrid I. INTRODUCTIONThe instability of waves in a beam-plasma system [1-10] is studied with great interest because their behavior is of physical interest and also because of their possible application to electron acceleration or ion heating. Whenever there is a non-thermal perpendicular distribution of ions or parallel distribution of electrons, lower hybrid waves may play a role in redistributing the energy. Such distributions occur in heliosphere, near magnetic reconnection sites, in the Earth's magnetotail and in the solar corona. The presence of a distribution of charged dust particles can modify the instability. Massive and highly charged grains are quite common in natural systems, such as the plasmas in the planetary atmospheres, rocket exhausts, cometary tails, interstellar clouds, etc. and laboratory plasmas, such as industrial processing plasmas, fusion devices, etc. The dusty plasma can give rise to modifications or additional waves and instabilities [11][12][13][14][15]. It is therefore interesting to study the effect of a dust grain population on the growth of electrostatic waves. Lower hybrid waves can interact resonantly with electrons as well as ions, mediate the transfer of energy between the two plasma species and therefore lead to ion heating or electron acceleration. The lower hybrid waves are generated by different mechanisms such as by electron or ion beams propagating in the plasma. Seiler et al. [1] have studied the excitation of LH wave instability by a spiraling ion beam in the linear Princeton Q-1 device and their frequency measurements show that the instability occurs at just above the cyclotron harmonics due to the coupling of the beam cyclotron mode with the lower hybrid mode. Papadopoulus and Palmadesso [2] have demonstrated that the lower hybrid waves can be generated by an energetic electron beam streaming through plasma along the magnetic fields. Sharma and Tripathi [3] have studied the excitation of lower hybrid waves by a gyrating beam in a magnetized plasma cylinder. Prakash et al. have studied electron beam [4] driven and ion beam [5] driven lower hybrid waves in a dusty plasma and have discussed the dependence of the growth rate on the beam v...

show abstract

“…The most affected are plasma modes with frequencies of the order of dust charging frequency. The growth rate of the instabilities is found to be dust-dependent [4][5][6][7][8][9]. Moreover, in real situations, dust grains exhibit a size distribution.…”

Section: Introductionmentioning

confidence: 95%

Effect of Dust Grain Parameters on Ion Beam Driven Ion Cyclotron Waves in a Magnetized Plasma

Prakash¹,

Sharma²,

Vijayshri³

et al. 2014

PIER M

Self Cite

View full text Add to dashboard Cite

Abstract-Excitation of electrostatic ion cyclotron waves (EICW) in a magnetized dusty plasma by an ion beam is studied taking into account the effect of dust particle size, dust particle charge and dust particle number density variations. The presence of dust grain charge fluctuations modifies the dispersion relation for ion cyclotron waves in dusty plasma. It is shown that in the absence of ion beam, the ion cyclotron mode damps due to dust charge fluctuations and an additional damping dust charge fluctuation mode is induced in plasma. The ion beam propagating parallel to the magnetic field drives ion cyclotron waves to instability via Cerenkov interaction. Using the analytical and numerical results the influence of the relative density of negatively charged dust particles on growth rate of ion cyclotron waves is studied. The dust grain size distribution has also significant contributions on the growth rate of ion cyclotron waves.

show abstract

Electron beam driven lower hybrid waves in a dusty plasma

Cited by 10 publications

References 21 publications

Ion beam driven resonant ion-cyclotron instability in a magnetized dusty plasma

Ion beam driven resonant ion-cyclotron instability in a magnetized dusty plasma

Cyclotron Interaction of Lower Hybrid Wave with Charged Particle Beams

Effect of Dust Grain Parameters on Ion Beam Driven Ion Cyclotron Waves in a Magnetized Plasma

Contact Info

Product

Resources

About