Relativistic longitudinal self-compression of ultrashort time-domain hollow Gaussian pulses in plasma

This article presents a preliminary study of the longitudinal self-compression of ultra-intense Gaussian laser pulse in a magnetized plasma, when relativistic nonlinearity is active. This study has been carried out in 1D geometry under a nonlinear Schrodinger equation and higher-order paraxial (nonparaxial) approximation. The nonlinear differential equations for self-compression and self-focusing have been derived and solved by the analytical and numerical methods. The dielectric function and the eikonal have been expanded up to the fourth power of r (radial distance). The effect of initial parameters, namely incident laser intensity, magnetic field, and initial pulse duration on the compression of a relativistic Gaussian laser pulse have been explored. The results are compared with paraxial-ray approximation. It is found that the compression of pulse and pulse intensity of the compressed pulse is significantly enhanced in the nonparaxial region. It is observed that the compression of the high-intensity laser pulse depends on the intensity of laser beam (a0), magnetic field (ω c ), and initial pulse width (τ0). The preliminary results show that the pulse is more compressed by increasing the values of a0, ω c , and τ0.

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Relativistic longitudinal self-compression of ultra-intense Gaussian laser pulses in magnetized plasma

Purohit

Rawat

Kothiyal

et al. 2020

Laser Part. Beams

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Propagation dynamics of an azimuthally polarized Bessel–Gauss laser beam in a parabolic plasma channel

et al. 2020

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The propagation dynamics of an azimuthally polarized dark hollow laser beam described by a first-order Bessel–Gauss laser beam in a parabolic plasma channel is investigated by adopting the weakly relativistic limit. By using the variational method, the evolution equation of the ring-beam radius is derived and the ring-beam width is proportional to and synchronous with the radius. It is found that the azimuthal polarization can weaken the vacuum diffraction effect and the propagation dynamics of the dark hollow laser beam may be classified into three types, i.e., propagation with a constant ring-beam radius and width, or synchronous periodic defocusing oscillation, or synchronous periodic focusing oscillation. Their corresponding critical conditions and characteristic quantities, such as the amplitudes and spatial wavelengths, are obtained. Further investigation indicates that, with the increase in the initial laser power or the ratio of initial ring-beam radius to channel radius, the dark hollow beam may experience a process from synchronous periodic defocusing oscillation to constant propagation and then to synchronous periodic focusing oscillation, in which the corresponding amplitudes decrease sharply to zero (constant propagation) and then increase gradually, while the spatial wavelength decreases continuously. The evolution type of this kind of dark hollow beam also depends on its initial amplitude but is insensitive to the initial laser profile which, however, has a large influence on the spatial wavelength. These results are well confirmed by the numerical simulation of the wave equation. A two-dimensional particle-in-cell simulation of an azimuthally polarized laser beam is performed finally and also reveals the main results.

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Relativistic longitudinal self-compression of ultrashort time-domain hollow Gaussian pulses in plasma

Cited by 2 publications

References 27 publications

Relativistic longitudinal self-compression of ultra-intense Gaussian laser pulses in magnetized plasma

Relativistic longitudinal self-compression of ultra-intense Gaussian laser pulses in magnetized plasma

Propagation dynamics of an azimuthally polarized Bessel–Gauss laser beam in a parabolic plasma channel

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