Radiation of whistler waves in a magnetized plasma medium in the presence of density ducts

We investigate the influence of density ducts on the radiation of given sources in a magnetoplasma. We obtain the full-wave solution for the problem of radiation from annular electric and magnetic currents in the presence of a plasma column (density duct) oriented along an external magnetic field and surrounded by a uniform background magnetoplasma. Both the discrete part of the spatial spectrum of excited waves and the continuous part of the spectrum are considered. We calculate the total radiated power and partial powers radiated in separate eigenmodes guided by the column. It is established that in the whistler frequency range the presence of a channel with enhanced plasma density can cause a considerable increase in the radiation power of annular sources. We give concrete estimations for the ionospheric conditions and compare these results with the results obtained previously for the case of a uniform magnetoplasma without density ducts.Nizhnii Novgorod University. Tranlated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 37, No. 7, pp. 887–908, July, 1994.     

Excitation of Nonsymmetric Waves by Given Sources in a Magnetoplasma in the Presence of a Cylindrical Plasma Channel

We consider the problem of excitation of electromagnetic field by spatially bounded, arbitrary given sources in a magnetoplasma in the presence of a cylindrical plasma channel aligned with an external magnetic field. We obtain a rigorous solution for the total field comprising both the discrete and continuous parts of the spatial spectrum of excited waves. Expressions for the radiation pattern and total radiation power of given sources are analyzed. For the whistler range, we calculate the radiation power of a ring electric current located in a channel with enhanced plasma density. It is shown that in this range, the presence of such a channel can lead to a significant increase in the radiation power of ring currents as compared with the case where the considered sources are immersed in a uniform background magnetoplasma, regardless of their orientation.     

Whistler waves guided by ducts with enhanced density in a collisional magnetoplasma

We study the guided propagation of whistler waves along cylindrical ducts with enhanced density in a collisional magnetoplasma. It is shown that under certain conditions, the presence of comparatively small dissipative losses due to electron collisions in a plasma medium can lead to significant changes in the dispersion characteristics and field structures of whistler modes guided by such ducts compared with the case of a collisionless plasma. We present the results of numerical calculations showing such changes in the properties of whistler modes. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 51, No. 1, pp. 31–49, January 2008.     

Nonsymmetric Whistler Waves Guided by Cylindrical Ducts with Enhanced Plasma Density

We study the guided propagation of whistler waves whose fields depend on the azimuthal angle in cylindrical plasma-waveguide channels (density ducts) aligned with an external magnetic field and surrounded by a uniform magnetoplasma. The main attention is paid to ducts with enhanced plasma density. It is shown that, under certain conditions, such ducts are capable of guiding proper (eigen) modes and improper leaky modes. We present the results of analysis of the dispersion properties and field structures of nonsymmetric modes guided by cylindrical ducts in the whistler frequency range.     

Laboratory modeling of the interaction of electron beams with a magnetoplasma

We present the results of laboratory experiments in which the mechanisms of interaction of electron beams with whistler waves in a magnetoplasma are studied. Different mechanisms of whistler generation during the injection of a modulated electron beam in the plasma are studied, and the mechanism of conversion of the beam kinetic energy to radiation is demonstrated. The processes of whistler wave generation by the modulated beam at the ˇ Cerenkov and Doppler resonances are analyzed in detail. The excitation of whistler waves by means of a nonresonant mechanism of the transition radiation is studied.     

Parametric transformation of the amplitude and frequency of a whistler wave in a magnetoactive plasma

The results of experiments studying the propagation of a high-frequency whistler wave in a magnetized plasma duct in the presence of an intense low-frequency wave also related to the whistler frequency range are reported. Amplitude-frequency modulation of the high-frequency whistler wave trapped in the duct was observed. A deep amplitude modulation of the signal that can lead to its splitting into separate wave packets is observed. It is shown that an increase in the wave propagation path leads to a broadening of the wave frequency spectrum and to a shift of the signal spectrum predominantly toward the red side. The transformation of the frequency of the high-frequency wave is related with the time-dependent perturbation of the external magnetic field by the field of the low-frequency whistler wave (the relative perturbation of the magnetic field δB/B≤5×10^?2).     

Electrodynamics and dispersion properties of a magnetoplasma containing elongated and rotating dust grains

The electrodynamics and dispersion properties of a magnetized dusty plasma containing elongated and rotating charged dust grains are examined. Starting from an appropriate Lagrangian for dust grains, a kinetic equation for the dust grain and the corresponding equations of motion are derived. Expressions for the dust charge and dust current densities are obtained with the finite size (the dipole moment) of elongated and rotating dust grains taken into account. These charge and current densities are combined with the Maxwell-Vlasov system of equations to derive dispersion relations for the electromagnetic and electrostatic waves in a dusty magnetoplasma. The dispersion relations are analyzed to demonstrate that the dust grain rotation introduces new classes of instabilities involving various low-frequency waves in a dusty magnetoplasma. Examples of various unstable low-frequency waves include the electron whistler, the dust whistler, dust cyclotron waves, AlfvÉn waves, electromagnetic ion-cyclotron waves, as well as lower-hybrid, electrostatic ion cyclotron, modified dust ion-acoustic waves, etc. Also found is a new type of unstable waves whose frequency is close to the dust grain rotation frequency. The present results should be useful in understanding the properties of low-frequency waves in cosmic and laboratory plasmas that are embedded in an external magnetic field and contain elongated and rotating charged dust grains.     

Upconversion of whistler waves by gyrating ion beams in a plasma

A gyrating ion beam, with a ring-shaped distribution in velocity, supports negative energy beam modes near the harmonics of beam gyro-frequency. An investigation of the non-linear interaction of high-frequency whistler waves with the negative energy beam cyclotron mode is made. A non-linear dispersion relation is derived for the coupled modes. It is shown that a gyrating ion-beam frequency upconverts the whistler waves separated by harmonics of beam gyro-frequency. The expression for the growth rate of whistler mode waves has been derived. In Case 1, a high-amplitude whistler wave decays into two lower frequency waves, called a low-frequency mode and a side band of frequency lower than that of pump wave. In Case 2 a high-amplitude whistler wave decays into two lower frequency daughter waves, called the low-frequency mode and whistler waves. Generation mechanism of these waves has application in space and laboratory plasmas.     

Interaction of a modulated electron beam with a magnetoactive plasma

Experimental results concerning the interaction of a modulated electron beam with a magnetoactive plasma in the whistler frequency range are reported. It was shown experimentally that when a beam is injected into the plasma, waves can be generated by two possible mechanisms: Cherenkov emission of whistlers by the modulated beam, and transition radiation from the beam injection point. In the case of weak beam currents (N _b/N ₀)≪⁻⁴) the Cherenkov resonance radiation is more than an order of magnitude stronger than the transition radiation; the Cherenkov emission efficiency decreases at high beam currents. The transformation of the distribution function of the beam is investigated for the case of weak beam currents. It is shown that in the case of the Cherenkov interaction with whistlers the beam is retarded and the beam distribution function becomes wider and acquires a plateau region. Pis’ma Zh. éksp. Teor. Fiz. 67, No. 6, 378–382 (25 March 1998)     

Modulation instability of whistler waves

The Karpman and Krushkal criterion has been applied to nonlinear Schrödinger equation derived for whistler waves propagating through magnetoplasma containing parallel electrostatic field. The role of parallel electrostatic field on the frequency spectrum and growth rate of modulational instability has been discussed.     

Wave emission from a VLF plasma-waveguide antenna system under ionospheric conditions

We study a VLF plasma-waveguide antenna system having the form of a field-aligned quasicylindrical enchancement of plasma density, which relaxes gradually to the background magnetoplasma with distance from the given source. A model enabling one to calculate both the total radiated power and the power distribution over the spatial spectrum of radiated waves is proposed. It is shown that this plasma antenna is useful for increasing the power going to the long-wave part of the spatial spectrum of whistler waves excited in the ambient plasma. Concrete estimates for terrestrial ionospheric conditions are given.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 39, No. 2, pp. 210–225, February, 1996.The work of the first two authors was supported in part by the Russian Foundation for Fundamental Research (Project codes No. 95-02-05001 and No. 94-02-05447-a, respectively). The work of the third author (A. V. Kudrin) was supported by the Russian Foundation for Fundamental Research under Grant No. 96-02-18666.     

Whistler channeling in ducts with enhanced density in a magnetoactive plasma

We study the guided propagation of whistler waves along the density ducts created in a magnetoactive plasma under thermal nonlinear conditions. It is found that the thermal diffusion-driven redistribution of plasma due to electron heating in the quasistatic field of a current loop of fairly large radius leads to the formation of a duct with enhanced density. Based on experimental data and theoretical calculations, it is shown that such a duct can sustain the weakly decaying whistler modes excited by a magnetic-type antenna immersed in it. Radiophysical Research Institute, Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 41, No. 3, pp. 384–394, March, 1998.     

Linear mode conversion of waves near the maxima or minima of the density in a warm magnetized plasma

Behaviour of the h. f. electrostatic waves near the plasma or upper hybrid resonances was studied in the case that these resonances are situated at the maxima or minima of the plasma density. Supposing the parabolic density profile in these regions we obtained the connection formulae for the WKB solutions. In a weakly inhomogeneous magnetoplasma the effect of the parabolic profile manifests itself only in narrow frequency band centred at the resonance frequency corresponding to the extreme value of the density. The whole process can be then described by only two coefficients, viz. the power conversion and power transmission coefficients.     

Boundary Effects on Microwave Propagation in a Large Waveguide Containing a Magnetoplasma

Solution of Maxwell's equations for a cold, uniform magnetoplasma bounded by conducting walls shows (i) how plane waves evolve in the space of (?/?c,?p/?c) with (kc/?c) as parameter, and (ii) the range of parameters in which whistler mode propagation without Wieder's fine structure can be expected. In this space, the whistler evolves from an electrostatic mode at low densities, the whistler characteristic appears in a range of densities where the static approximation is invalid, and at still higher densities, residual effects of boundaries show up in the fine structure, as accounted for by J. C. Lee. The asymptotic form of the solution when lateral dimensions are large shows the existence of classes of solutions which are inadmissible because none can be reached along a continuous locus in this space. Effects of finite boundaries on the dispersion characteristic and the interpretation of experimental data are discussed.     

Whistler detrapping from a density crest duct

A theory of whistler wave leakage from a magnetic field aligned duct with enhanced plasma density is presented. The energy flux from the duct and the corresponding wave attenuation rate are calculated in the WKB approximation. Possible experimental confirmations of the theory are indicated.     

Nonlinear Interaction of a Right-Handed Circularly Polarized Gaussian Electromagnetic Beam with an Electron-Plasma Wave: Generation of Ion-Acoustic Wave

This paper presents an investigation of the nonlinear interaction of a high-power right-handed circularly polarized Gaussian electromagnetic beam with an electron-plasma wave in a hot collisionless magnetoplasma. Because of the nonuniform intensity distribution of the electromagnetic beam, in a plane transverse to the direction of propagation, the ponderomotive force becomes finite and leads to the modification in the background carrier density. This leads to the nonlinear coupling between the electromagnetic beam and the electron-plasma wave. Consequently, the focusing of the electron-plasma wave may take place, leading to the enhancement in its amplitude. The excited electron-plasma wave may again interact with the electromagnetic beam and generate an ion-acoustic wave of appreciable power. The power of the generated ion-acoustic wave increases as we approach the critical density region.     

Direct mapping of space structure of a rotational instability in laboratory plasmas

The investigation of the radial ion density profile in the magnetoplasma is described. The method uses the Langmuir probe which is movable along the tube radius. The radial position of this probe destines the vertical beam position on the CRT. The oscilloscope time base is synchronized with the frequency of the instability and is proportional to the azimuthal position.     

Parametric generation of whistler waves due to the interaction of high-frequency wave beams with a magnetoplasma

The parametric generation of low-frequency whistler waves by a pump wave beam formed by high-frequency whistler waves with close frequencies is studied experimentally. The electromagnetic fields excited by the beats of two co- or counterpropagating high-frequency waves, or by an amplitude-modulated pump are studied. It is shown that the nonlinear currents at the beat (modulation) frequency are generated by a transverse ponderomotive force arising due to the finite width of the high-frequency beam. In this case, the nonlinear azimuthal drift currents enclose the pump beam and can radiate low-frequency whistler waves to the surrounding plasma.     

有限磁场作用下等离子体背景中的切伦可夫不稳定性研究

 较高密度的相对论电子束注入等离子体中将会形成离子通道，在考虑了离子通道的影响下，推导出圆柱波导中更普遍的色散方程，并计算出考虑离子通道和不考虑离子通道效应时的色散关系及电磁波的增长率。     

General Schrödinger equation for whistler waves propagating along a magnetic field

The general Schrödinger equation (GSE) for whistler waves with their group velocity directed along an external magnetic field is derived. The “mean” wave vector of the wave beam may be parallel to or have an angle Θ = arccos(2ω/ω_c) with the magnetic field. Applications of GSE to the whistler propagation in density ducts are considered. The results are important for the problem of the self-focusing of whistler waves.