Nonlocal Theory of Excitation of Electron Bernstein Waves by a Relativistic Electron Beam in Plasma with Loss-Cone Distribution of Electron

Varma, Ashish; Kumar, Arvind; Kumar, Asheel

doi:10.1007/s13538-020-00848-6

Cited by 18 publications

(4 citation statements)

References 27 publications

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“…The electron Bernstein wave is a particular type of electron cyclotron harmonic with electrostatic characteristics. This electrostatic wave can be excited by the interaction of an electron beam with plasma and the interaction of a laser beam with plasma as well as clustered plasma with a static magnetic field [30][31][32]. The association of an electron Bernstein wave with an extraordinary laser beam causes enhanced second and third harmonic generations in plasma [6,7].…”

Section: Introductionmentioning

confidence: 99%

Electron Bernstein wave aided Hermite cosh-Gaussian laser beam absorption in collisional plasma

Varma¹,

Mishra²,

Kumar³

et al. 2023

Laser Phys. Lett.

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In this paper, we theoretically study the electron Bernstein wave aided Hermite-Cosh-Gaussian laser beam absorption in collisional plasma with a static magnetic field. This laser beam may have the potential to couple the pre-existing electron Bernstein wave with the coupled wave frequency ω 1 = ω + ω 0 and wave number k 1 = k + k 0 where ω and ω 0 are the electron Bernstein wave and laser beam frequencies, respectively, and k and k 0 are the electron Bernstein wave and laser beam wave numbers, respectively. The plasma electron oscillatory velocities associated with the coupled wave mode produce the linear and nonlinear current density. An expression for the nonlinear absorption coefficient of an electron Bernstein wave aided Hermite cosh-Gaussian laser beam is analytically derived and more concisely discussed via different relative graphs. The graphical results promise that the absorption coefficient is strongly dependent on Hermite mode index m, beam decentered parameter d associated with the cosh term, laser beam width, laser beam frequency, electron Bernstein wave frequency, electron cyclotron frequency, electron thermal velocity and collisional frequency. Nonlinear coupling, collision phenomena and laser beam decentered parameter (very sensitive parameter) play an important role in absorption processes. The association of a very small electron Bernstein wave frequency with the laser beam causes too much of an increase in the absorption coefficient compared to only the laser beam. This efficient nonlinear absorption process may be applicable to plasma electron heating and the harmonic generation process.

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Section: Introductionmentioning

confidence: 99%

Electron Bernstein wave aided Hermite cosh-Gaussian laser beam absorption in collisional plasma

Varma¹,

Mishra²,

Kumar³

et al. 2023

Laser Phys. Lett.

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“…In laser‐plasma experiments, laser frequency nonlinearly couples with the EBW frequency (pre‐existed) which gives rise to laser‐beam absorption in the plasma. In Reference [11] authors studied EBW excitation by a relativistic electron beam with loss‐cone distribution of electrons in plasma and reported that EBWs are absorbed efficiently by the electrons in the region where its frequency matches with electron cyclotron frequency. Such physical mechanisms can contribute to plasma heating.…”

Section: Introductionmentioning

confidence: 99%

Oblique Bernstein wave propagation in electron‐ion plasma with electron quantization effects

Hussain

Majeed

Ayub

et al. 2023

Contributions to Plasma Physics

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We have studied the role of electron quantization effects on the dispersion characteristics of the oblique electron Bernstein wave (EBW) in an electron-ion plasma using Vlasov-Poisson model. Our analysis shows that large thermal effects (as compared to quantization effects) give rise to the usual classical results while in the limit of strong magnetic field, the dispersion characteristics changes. The existence of a quantum Bernstein mode has been proposed which appears purely due to the electron quantization effects. The damping of the oblique EBW has also been analyzed in detail and we found that the magnitude of the damping of the wave decreases as we decrease the obliqueness parameter (parallel to perpendicular wavenumber ratio) which agrees with the earlier theoretical and experimental findings. Moreover, the strong quantization effects (ℏΩ e >> 2T) also tend to suppress the damping of EBW which contributes to the stabilization of the waves. The present findings are relevant to the laboratory laser-produced plasmas where strong external magnetic fields exist, and also to the dense astrophysical plasma environments.

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“…Many groups have theoretically proposed the non-local theory of electron Bernstein wave excitation by the method of non-relativistic electron beams [30], gyrating relativistic electron beams [31], and relativistic electron beams with loss cone-velocity distribution [32] in plasma. The counterpropagation of two laser beams in the plasmas resonantly excites the fast and slow plasma wave.…”

Section: Introductionmentioning

confidence: 99%

Excitation of electron Bernstein waves by beating of two cosh-Gaussian laser beams in a collisional plasma

Kumar

Varma

2021

Laser Phys.

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In this paper, a theoretical study has been proposed for excitation of electron Bernstein waves in collisional plasma with dc magnetic field by nonlinear interactions of two cosh-Gaussian laser beams. The beat wave with frequency ω = (ω 1 − ω 2 ) and wave vector ⃗ k = ⃗ k 1 + ⃗ k 2 , exerts a nonlinear ponderomotive force on electrons. This nonlinear force has the potential to drive the electron Bernstein wave in collisional plasma with dc magnetic field. The convective loss of waves in plasma is also discussed. An analytical formalism is developed for power going into the electron Bernstein wave with respect to total laser power. The variation of normalized potential and power distribution profile as a function of beam direction, normalized beat wave frequency, and normalized collisional frequency is demonstrated to excite Electron Bernstein waves (EBWs) under resonance conditions. The spatial shape of laser beam, optimum laser beam width parameter, decentred parameter, extreme value of electron thermal velocity and cyclotron frequency is proposed for much more excitation. This proposed theory of electron Bernstein wave excitation may be applicable for plasma heating.

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Nonlocal Theory of Excitation of Electron Bernstein Waves by a Relativistic Electron Beam in Plasma with Loss-Cone Distribution of Electron

Cited by 18 publications

References 27 publications

Electron Bernstein wave aided Hermite cosh-Gaussian laser beam absorption in collisional plasma

Electron Bernstein wave aided Hermite cosh-Gaussian laser beam absorption in collisional plasma

Oblique Bernstein wave propagation in electron‐ion plasma with electron quantization effects

Excitation of electron Bernstein waves by beating of two cosh-Gaussian laser beams in a collisional plasma

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