The Self-Focusing of Whistler Waves

Karpman, V. I.; Kaufman, R. N.

doi:10.1088/0031-8949/1982/t2a/032

Cited by 14 publications

(11 citation statements)

References 9 publications

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“…Up to now, we have used the Schrodinger equation (1.3). However, the latter does not describe the tunnelling transformation of the ducted whistler wave (Karpman & Kaufman 1981). As a result, the trapped electromagnetic field ' leaks out' of the duct, and this process becomes very rapid when the duct diameter approaches the wavelength.…”

Section: Three-dimensional Modulational Instabilitymentioning

confidence: 99%

Nonlinear stage of the modulational instability of a whistler wave. Part 2

Karpman¹,

Shagalov²

1988

J. Plasma Phys.

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Section: Three-dimensional Modulational Instabilitymentioning

confidence: 99%

Nonlinear stage of the modulational instability of a whistler wave. Part 2

Karpman¹,

Shagalov²

1988

J. Plasma Phys.

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“…In this connection, ducting of waves propagating in the whistler mode is attracting increased attention. Their propagation characteristics have been studied extensively, regarding such problems as guidance of very low frequency (VLF) whistler-mode waves along magnetospheric ducts [10^14], whistler self-ducting [15,16], helicon RF discharges [17,18], etc. Recently, interest has been shown in arti¢cial density ducts that can be formed in the vicinity of antennas due to various nonlinear e¡ects.…”

Section: Introductionmentioning

confidence: 99%

Whistlers in Thermally Generated Ducts with Enhanced Plasma Density: Excitation and Propagation

Костров

Kudrin²,

Курина³

et al. 2000

Phys. Scr.

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A study is made of the excitation and guided propagation of whistler waves along magnetic-field-aligned cylindrical ducts with enhanced plasma density. The ducts have been created in the large plasma device as a result of the thermal-diffusion-driven redistribution of plasma due to electron heating in the quasistatic field of a current loop having a radius commensurate with the electron heat-conduction length in the radial direction. The whistler waves are excited by a comparatively small magnetic loop antenna immersed in the duct. Detailed measurements of the excited field and the density distribution are reported. It is concluded that thermally generated ducts observed in the experiments can guide whistler-mode waves launched from the magnetic antenna. With the use of the full wave formulation, the total source-excited field is calculated and compared with the experimental data. Excellent agreement is found between the measured and calculated wave patterns. The results are relevant to both the basic properties of whistlers and to applications such as transmitting systems using artificial near-antenna ducts in space plasmas.

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“…The mechanism of strong whistler localization is also same as discussed above for KAW or a self focused laser beam. Strong whistler propagation along the magnetic field and its filamentation (localization) has been discussed earlier by many authors [ Karpman and Kaufman , 1982; Karpman and Shagalov , 1988; Karpman et al , 1990]. In the present work, we are considering weak whistler signal propagation along the magnetic field which doesn't has so much intensity to initiate its own localization.…”

Section: Numerical Simulationmentioning

confidence: 99%

Study of kinetic Alfvén wave and whistler wave spectra and their implication in solar wind plasma

2012

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[1] This work presents the numerical simulation of the nonlinear evolution of kinetic Alfvén wave (KAW), in a parametric regime consistent with the solar wind plasmas. The nonlinear dynamical equation of KAW satisfies the modified nonlinear Schrödinger equation when incident pump KAW has a small perturbation. Numerical simulation has been done to solve this model equation when the ponderomotive nonlinearity is incorporated in the KAW dynamics. The localization of pump KAW as a consequence of ponderomotive nonlinearity has been studied in the solar wind at 1 AU. A weak whistler signal propagating in these localized structures is amplified and leads to the development of its own localized structures. Magnetic power spectra and spectral indices for KAW at different times are calculated. The magnetic field power spectra and spectral indices of whistler wave at different times are also calculated. The relevance of steepened KAW and whistler spectra to recent solar wind observations is also pointed out. These localized structures and steeper spectra can be responsible for the plasma heating and particles acceleration in solar wind.Citation: Dwivedi, N. K., K. Batra, and R. P. Sharma (2012), Study of kinetic Alfvén wave and whistler wave spectra and their implication in solar wind plasma,

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The Self-Focusing of Whistler Waves

Cited by 14 publications

References 9 publications

Nonlinear stage of the modulational instability of a whistler wave. Part 2

Nonlinear stage of the modulational instability of a whistler wave. Part 2

Whistlers in Thermally Generated Ducts with Enhanced Plasma Density: Excitation and Propagation

Study of kinetic Alfvén wave and whistler wave spectra and their implication in solar wind plasma

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