Second harmonic generation by self-focusing of intense hollow Gaussian laser beam in collisionless plasma

2016 ◽  
Vol 23 (1) ◽  
pp. 013103 ◽  
Author(s):  
Gunjan Purohit ◽  
Priyanka Rawat ◽  
Rakhi Gauniyal
Keyword(s):  
Second Harmonic Generation ◽  
Laser Beam ◽  
Harmonic Generation ◽  
Second Harmonic ◽  
Collisionless Plasma ◽  
Gaussian Laser Beam ◽  
Self Focusing

scholarly journals Second-harmonic generation by relativistic self-focusing of cosh-Gaussian laser beam in underdense plasma

2015 ◽  
Vol 34 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Arvinder Singh ◽  
Naveen Gupta
Keyword(s):  
Differential Equation ◽  
Second Harmonic Generation ◽  
Laser Beam ◽  
Plasma Wave ◽  
Harmonic Generation ◽  
Second Harmonic ◽  
Spot Size ◽  
Gaussian Laser Beam ◽  
Self Focusing ◽  
Underdense Plasma

AbstractThis paper presents theoretical investigation of effect of relativistic self-focusing of cosh-Gaussian (ChG) laser beam on second-harmonic generation in an underdense plasma. Steep transverse density gradients are produced in the plasma by the electron plasma wave excited by relativistic self-focusing of ChG laser beam. The generated plasma wave interacts with the pump beam to produce its second harmonics. Following Jeffrey Wentzel Kramers Brillouin (J.W.K.B) approximation and moment theory the differential equation governing the evolution of spot size of laser beam with distance of propagation has been derived. The differential equation so obtained has been solved numerically by the Runge–Kutta method to investigate the effect of decentered parameter, intensity of laser beam as well as density of plasma on self-focusing of the ChG laser beam, and generation of its second harmonics. It has been observed that the peak intensity of the laser beam shifts in the transverse direction by changing the decentered parameter and a noticeable change is observed on focusing of the laser beam as well as on conversion efficiency of second harmonics.

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