Non-linear interaction of a q -Gaussian laser beam in a plasma channel created by the ignitor-heater technique

2018 ◽  
Vol 59 (2) ◽  
pp. 154-165
Author(s):  
Naveen Gupta
Keyword(s):  
Laser Beam ◽  
Plasma Channel ◽  
Gaussian Laser Beam ◽  
Linear Interaction ◽  
Non Linear

Optical Guiding of Intense Hermite-Gaussian Laser Beam in Preformed Plasma Channel and Second Harmonic Generation

2021 ◽  
Author(s):  
Jyoti Wadhwa ◽  
Arvinder Singh
Keyword(s):  
Differential Equations ◽  
Second Harmonic Generation ◽  
Laser Beam ◽  
Harmonic Generation ◽  
Plasma Channel ◽  
Second Harmonic ◽  
Electron Plasma ◽  
Gaussian Laser Beam ◽  
Electron Plasma Wave ◽  
Preformed Plasma

Abstract This work presents the scheme of optical channeling of the intense Hermite Gaussian laser beam and second-harmonic generation in plasma having the preformed plasma channel, where relativistic nonlinearity is operative. Excitation of the electron plasma wave at the incident beam frequency leads its coupling with the latter produces the second harmonics of the beam. For the formulation of differential equations for the beam waists of the Hermite Gaussian laser beam propagating through the channel, the method of moments has been used. The solutions of the coupled differential equations are found using Runge Kutta fourth-order numerical method. Perturbation theory has been applied to find the equation governing the excitation of electron plasma wave and hence the source term for the second-harmonic yield. It has been observed that the preformed plasma channel helps to optically guide the laser beam and enhances the efficiency of second-harmonic generation of various modes of the Hermite Gaussian laser beam in plasma.

scholarly journals Higher harmonic generation by self-focused q-Gaussian laser beam in preformed collisionless plasma channel

2014 ◽  
Vol 32 (4) ◽  
pp. 621-629 ◽  
Author(s):  
Arvinder Singh ◽  
Naveen Gupta
Keyword(s):  
Differential Equation ◽  
Laser Beam ◽  
Plasma Wave ◽  
Harmonic Generation ◽  
Plasma Channel ◽  
Field Region ◽  
Incident Laser Beam ◽  
Gaussian Laser Beam ◽  
Incident Laser ◽  
Higher Harmonic

AbstractThis paper presents an investigation of self-focusing of a q-Gaussian laser beam and its effect on harmonic generation in a preformed collisionless parabolic plasma channel. In the presence of a q-Gaussian laser beam, the carriers get redistributed from high field region to low field region on account of ponderomotive force as a result of which a transverse density gradient is produced in the channel which in turn generates plasma wave at pump frequency. Generated plasma wave interacts with the incident laser beam and generate higher harmonics of the incident laser beam. Moment theory has been used to derive differential equation for the spot size of laser beam propagating through the channel. The differential equation so obtained has been solved numerically. The effect of the intensity of laser beam, deviation of intensity distribution of laser beam along its wave front from Gaussian distribution, plasma density and depth of channel on beam width of laser beam and harmonic yield has been investigated. The effect of order of higher harmonic on harmonic yield has been also investigated.

scholarly journals Second harmonic generation of q-Gaussian laser beam in plasma channel created by ignitor heater technique

2019 ◽  
Vol 37 (2) ◽  
pp. 184-196 ◽  
Author(s):  
Naveen Gupta
Keyword(s):  
Second Harmonic Generation ◽  
Laser Beam ◽  
Harmonic Generation ◽  
Plasma Channel ◽  
Second Harmonic ◽  
Laser Beams ◽  
Theory Approach ◽  
Gaussian Laser Beam ◽  
Incident Laser ◽  
Pump Frequency

AbstractThis paper presents a scheme for second harmonic generation (SHG) of q-Gaussian laser beam in plasma channel created by ignitor heater technique. The ignitor beam creates plasma by tunnel ionization of air. The heater beam heats the plasma electrons and establishes a parabolic density profile. The third beam (q-Gaussian beam) is guided in this plasma channel under the combined effects of density nonuniformity of the plasma channel and relativistic mass nonlinearity of the plasma electrons. The propagation of q-Gaussian laser beam through the plasma channel excites an electron plasma wave at pump frequency that interacts with the incident laser beam to produce its second harmonics. The formulation is based on finding the numerical solution of the nonlinear Schrodinger wave equation for the fields of the incident laser beams with the help of moment theory approach. Particular emphasis is put on dynamical variations of the spot size of the laser beams and conversion efficiency of the second harmonics with distance of propagation.

Propagation of ellipitic Gaussian laser beam in a higher order non-linear medium

Optik ◽  
2004 ◽  
Vol 115 (11-12) ◽  
pp. 493-498 ◽  
Author(s):  
Tarsem Singh Gill ◽  
Nareshpal Singh Saini ◽  
S.S. Kaul ◽  
Arvinder Singh
Keyword(s):  
Laser Beam ◽  
Higher Order ◽  
Gaussian Laser Beam ◽  
Linear Medium ◽  
Non Linear

Propagation characteristics of a hollow Gaussian laser beam in a tapered plasma channel

2020 ◽  
Vol 27 (4) ◽  
pp. 043109 ◽  
Author(s):  
Xue-Ren Hong ◽  
You-Lian Zheng ◽  
Rong-An Tang ◽  
Tiao-Fang Liu ◽  
Xiao-Ping Liu
Keyword(s):  
Laser Beam ◽  
Plasma Channel ◽  
Propagation Characteristics ◽  
Gaussian Laser Beam

Study of optical guiding of the Hermite–Gaussian laser beam in preformed collisional parabolic plasma channel and second harmonic generation

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Jyoti Wadhwa ◽  
Arvinder Singh
Keyword(s):  
Second Harmonic Generation ◽  
Laser Beam ◽  
Plasma Wave ◽  
Harmonic Generation ◽  
Plasma Channel ◽  
Second Harmonic ◽  
Incident Beam ◽  
Electron Plasma ◽  
Gaussian Laser Beam ◽  
Electron Plasma Wave

Abstract In the present work, the scheme of optical guiding of the Hermite–Gaussian laser beam and the generation of second-harmonic 2ω radiation (ω being the frequency of incident beam) is presented in plasma having the preformed collisional plasma channel in which density variation is parabolic. The nonlinear coupling of excited electron plasma wave with the carrier or incident beam results in the production of second harmonics of the latter. The method of moments is used for finding the coupled differential equations for the beam diameter to study the dynamics of the Hermite–Gaussian laser beam in plasma under the effect of the collisional parabolic channel. For numerical simulations, the Runge–Kutta fourth-order numerical method is used. Standard perturbation theory gives the equation for excitation of electron plasma wave which further acts as the source term for the second harmonic generation. The numerical results show that the preformed plasma channel has a significant effect on the guiding as well as on the 2ω generation of the Hermite–Gaussian laser beam in plasma.

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