Stimulated scattering of electromagnetic waves in a magnetised plasma

We present estimates of threshold powers, growth rates and amplification factors for stimulated scattering of electromagnetic waves off electrostatic modes in a magnetized plasma, The magnetic field strength is assumed to influence only the electrostatic modes and not the propagation of incident and scattered electromagnetic waves.     

Relativistic nonlinear waves in a magnetised plasma

Relativistic propagation of a nonlinearly-coupled circularly-polarised electromagnetic wave and a Langmuir wave along the applied magnetic field is considered. Analytical solutions are given or are indicated for some special cases like purely transverse waves and purely longitudinal waves. In the presence of an applied magnetic field, the incident circularly polarised electromagnetic wave is found to propagate further into denser regions of the plasma — a result which is in accord with the so-called inverse Faraday effect. Finally, we shall consider general coupled transverse and longitudinal waves for which we give an approximate solution. We investigate whether this system of coupled waves exhibits any internal resonances and consequent energy exchange between them.     

Instability of electromagnetic waves in transversely magnetised semiconductor-plasmas

Using the hydrodynamic model of plasmas the general dispersion relation is derived in the collisiondominated regime when a d.c. magnetic field is applied (Y-axis) transversly to the propagation vector k (Z-axis), and the d.c. electric field is inclined to the Z-axis in the X-Z plane. The dispersion relation is solved for intrinsic and extrinsic semiconductors to explore the possibility of wave instability. The threshold conditions of wave oscillations are obtained. In n-InSb the frequency of the oscillation attains a maximum value when the electron cyclotron frequency is equal to the electron collision frequency. In intrinsic InSb instability is possible only in the long wavelength region for E₀ ? 10 kVm^?1 when B₀> 0.2 T, while for lower values of B₀, E₀ should be greater 20kVm^?1. The energy dependent collision frequency has a significant effect on the threshold frequency of oscillation.     

Amplitude modulation and demodulation of an electromagnetic wave in a magnetised semiconductor plasma

The amplitude modulation as well as demodulation of an electromagnetic wave in a transversely magnetised piezoelectric semiconductor plasma has been studied in different wave number regions over a wide range of electron cyclotron frequency.     

Allowable propagation of short pulse laser beam in a plasma channel and electromagnetic solitary waves

Nonparaxial and nonlinear propagation of a short intense laser beam in a parabolic plasma channel is analyzed by means of the variational method and nonlinear dynamics. The beam propagation properties are classified by five kinds of behaviors. In particularly, the electromagnetic solitary wave for finite pulse laser is found beside the other four propagation cases including beam periodically oscillating with defocussing and focusing amplitude, constant spot size, beam catastrophic focusing. It is also found that the laser pulse can be allowed to propagate in the plasma channel only when a certain relation for laser parameters and plasma channel parameters is satisfied. For the solitary wave, it may provide an effective way to obtain ultra-short laser pulse.     

A proposal to use a plasma lens to achieve a 12 nm spot at the end of CLIC

Summary We review the use of a wake field plasma lens as the final focusing element at the interaction point of the CERN linear collider (CLIC) scheme. Taking longitudinal and transverse aberrations into account we propose a set of parameters to achieve the design specification of 12 nm spot radius. The authors of this paper have agreed to not receive the proofs for correction.     

Low frequency electromagnetic waves in a multi-ion plasma

The dispersion characteristics of low-frequency electromagnetic waves are studied in a plasma containing hydrogen ions and positively and negatively charged oxygen ions and electrons. This composition of the plasma approximates very well the coma of comet Halley where many heavy ions have been observed in appreciable numbers. The excitation of these waves results from the relative motion between the protons and the heavy ions, which are considered unmagnetised and, therefore, may act like a beam. We find that the wave growth increases with increasing heavy ion densities, beam velocities and propagation angles.     

Self-focusing of electromagnetic waves in a degenerate electron-hole plasma

The free carrier nonlinear dielectric constant of a degenerate electron-hole plasma (e.g., Ge) in the presence of a Gaussian electromagnetic beam has been studied by a kinetic treatment. The redistribution of carriers (electrons and holes) is the source of nonlinearity and is effective in causing the self-focusing of the beam. The rise in carrier temperature due to the wave field is almost unaffected by the degeneracy, whereas the nonlinearity is considerably affected by it. The increase of degeneracy (by increasing the equilibrium carrier concentration at the fixed lattice temperature) increases the nonlinear dielectric constant. Hence self-focusing is enhanced by degeneracy. This work was supported by NSF (USA) and CSIR (India).     

Generation of electromagnetic waves by a rotating plasma

Generation of electromagnetic waves by an annular shell of plasma rotating in crossed radial electrostatic and axial magnetic fields in a cylindrical resonator is investigated theoretically. Dispersion relations are obtained describing the interaction of the waves with the plasma. It is shown that generation of waves by a narrow plasma shell is possible due to a cyclotron resonance, Čerenkov resonance, or plasma resonance. Here we consider a Čerenkov resonance, where the velocities of the plasma components and the phase velocities of the waves are perpendicular to the constant magnetic field. The frequencies and growth rates of the waves are found under conditions of the above-mentioned resonances in a uniform and in a nonuniform plasma shell. Advantages and disadvantages of wave generation under various conditions are noted. Zh. Tekh. Fiz. 69, 16–21 (February 1999)     

Polarization change of high-frequency electromagnetic waves in magnetically sheared plasmas

Summary The polarization change of an electromagnetic wave passing through a magnetized plasma turns out to be of renewed interest because of the possibility, offered by polarimetry measurements in the infrared range of frequencies, of determining the current density profile for a tokamak plasma. Because of magnetic shear, acting as a coupling parameter between the characteristic modes, the fraction of energy in each mode is not a constant, and a non-WKB treatment is necessary in order to describe the evolution of the wave polarization. The present work shows that this evolution, together with the one of the mode energy, is described by a set of four first-order differential equations. The solutions of this system are discussed in the general case, and in significant limiting cases. Work performed under JET Contract