scholarly journals Generation of second harmonics of relativistically self-focused q-Gaussian laser beams in underdense plasma with axial density ramp

2021 ◽  
Vol 53 (4) ◽  
Author(s):  
Naveen Gupta ◽  
Sandeep Kumar
Keyword(s):  
Laser Beams ◽  
Axial Density ◽  
Underdense Plasma

Harmonic generation by the propagation of two-colour laser beams in an underdense plasma

2013 ◽  
Vol 79 (5) ◽  
pp. 933-938 ◽  
Author(s):  
PALLAVI JHA ◽  
NIRMAL KUMAR VERMA ◽  
AKANKSHA SAROCH
Keyword(s):  
Laser Beams ◽  
Harmonic Amplitude ◽  
Arbitrary Integer ◽  
Third Harmonic ◽  
The Third ◽  
Fundamental Frequencies ◽  
Linearly Polarized ◽  
Colour System ◽  
Set Up ◽  
Underdense Plasma

AbstractAn analytical theory is developed for studying the phenomenon of generation of efficient odd and even high harmonics by the propagation of two-colour linearly polarized laser beams in a homogeneous underdense plasma. The wave equation governing the evolution of the amplitude of various harmonics driven by the current density at corresponding frequencies is set up. The ratio of the fundamental frequencies of the two laser beams is considered to be an arbitrary integer. A numerical evaluation of amplitudes of the third, fourth and fifth harmonics has been presented. It is seen that the third harmonic amplitude generated by the two-colour system is enhanced in comparison to that obtained by a single laser beam. The detuning distance for the former is also increased in comparison to the latter case.

scholarly journals Nonlinear Interaction of Elliptical q-Gaussian Laser Beams with Plasmas with Axial Density Ramp: Effect of Ponderomotive Force

2021 ◽  
Author(s):  
Naveen Gupta ◽  
Sandeep Kumar
Keyword(s):  
Differential Equations ◽  
Laser Beam ◽  
Nonlinear Partial Differential Equation ◽  
Beam Width ◽  
Laser Beams ◽  
Coordinate Space ◽  
Variational Theory ◽  
Plasma Parameters ◽  
The Fourier Transform ◽  
Axial Density

Abstract Theoretical investigation on optical self action effects of intense q-Gaussian laser beams interaction with collisionless plasmas with axial density ramp have been investigated in detail. Emphasis are put on investigating the dynamics of beam width and axial phase of the laser beam. Effect of the ellipticity of the cross section of the laser beam also has been incorporated. Using variational theory based on Lagrangian formulation nonlinear partial differential equation (P.D.E) governing the evolution of beam amplitude has been reduced to a set of coupled ordinary differential equations for the beam widths of the laser beam along the transverse directions. The evolution equation for the axial phase of the laser beam has been obtained by the Fourier transform of the amplitude structure of the laser beam from coordinate space to (kx; ky) space. The differential equations so obtained have been solved numerically to envision the effect of laser-plasma parameters on the propagation dynamics of the laser beam.

scholarly journals Self-shaping of a relativistic elliptically Gaussian laser beam in underdense plasmas

2015 ◽  
Vol 33 (2) ◽  
pp. 347-353 ◽  
Author(s):  
T. W. Huang ◽  
C. T. Zhou ◽  
X. T. He
Keyword(s):  
Laser Pulse ◽  
Radial Profile ◽  
Intense Laser ◽  
Laser Beams ◽  
Gaussian Laser Beam ◽  
Radial Profiles ◽  
Underdense Plasmas ◽  
Self Similar ◽  
Will Self ◽  
Underdense Plasma

AbstractSelf-shaping and propagation of intense laser beams of different radial profiles in plasmas is investigated. It is shown that when a relativistic elliptically Gaussian beam propagates through an underdense plasma, its radial profile will self-organize into a circularly symmetric self-similar smooth configuration. Such self-similar propagation can be attributed to a soliton-like structure of the laser pulse. The anisotropic electron distribution results in a circular electric field that redistributes the electrons and modulates the laser pulse to a circular radial shape.

Self-focusing and merging of two copropagating laser beams in underdense plasma

2002 ◽  
Vol 66 (2) ◽  
Author(s):  
Quan-Li Dong ◽  
Zheng-Ming Sheng ◽  
Jie Zhang
Keyword(s):  
Laser Beams ◽  
Self Focusing ◽  
Underdense Plasma

Mode designations of laser beams

1985 ◽  
Vol 132 (3) ◽  
pp. 191 ◽  
Author(s):  
Luk Kwai-Man ◽  
Yu Ping-Kong
Keyword(s):  
Laser Beams
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