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.
Funding source: Ministry of Human Resource Development doi.org/10.13039/501100004541
Award Identifier / Grant number: Unassigned
Acknowledgments
The authors are thankful to the Ministry of Human Resources and Development (MHRD) of India for the financial support to carry out the research work.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: Ministry of Human Resource Development, India.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Articles in the same Issue
- Frontmatter
- General
- Simultaneous demodulation comparison of fiber-optic Fabry–Perot sensors connected in parallel and series
- An intensity modulated fiber-optic carbon monoxide sensor based on Ag/Co-MOF in-situ coated thin-core fiber
- Dynamical Systems & Nonlinear Phenomena
- Periodic and localized structures in dusty plasma with Kaniadakis distribution
- Study of optical guiding of the Hermite–Gaussian laser beam in preformed collisional parabolic plasma channel and second harmonic generation
- Stability analysis of a delayed predator–prey model with nonlinear harvesting efforts using imprecise biological parameters
- Hydrodynamics
- Gas–liquid two-phase flow pattern analysis based on multiscale symbolic transfer entropy
- Numerical treatment of squeezing unsteady nanofluid flow using optimized stochastic algorithm
- Solid State Physics & Materials Science
- Identification of thermo optical parameters in 4l-hexyloxy-4-cyanobyphenyl with dispersed ZnO nano particles
- The process of magnetic flux penetration into superconductors