Abstract
Variational theory has been used to find the solution of nonlinear Schrodinger wave equation (NSWE) in a semi analytical way with the goal to model the dynamics of two coaxial asymmetric q-Gaussian laser beams in nonlinear optical media. The nonlinearity in the refractive index of the medium has been modeled by cubic-quintic model. Due to the intensity dependence of refractive index, the two laser beams get coupled with each other and thus influence the propagation characteristics of each other. Emphases are put on the dynamical variations of beam widths and longitudinal phases of the laser beams with distance of propagation.
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References
T.H. Maiman, Stimulated Optical Radiation in Ruby. Nature 187, 493 (1960)
J.A. Giordmaine, Nonlinear optics. Phys. Today 22, 38 (1969)
M. Ebrahimzadeh, Parametric light generation. Phil. Trans. R. Soc. A 361, 2731 (2003)
N. Gupta, S. Kumar, Self-action effects of quadruple-Gaussian laser beams in collisional plasmas and their resemblance to Kepler’s central force problem. Pramana - J Phys. 95, 53 (2021)
N. Gupta, Self focusing and axial phase modulation of laser beams carrying orbital angular momentum in collisionless plasmas. Opt. Quant. Electron. 53, 608 (2021)
N. Gupta, S. Kumar, Linear and nonlinear propagation characteristics of multi-Gaussian laser beams. Chin. Phys. B 29, 114210 (2020)
N. Gupta, S. Kumar, Nonlinear interaction of elliptical q-Gaussian laser beams with plasmas with axial density ramp: efect of ponderomotive force. Opt. Quant. Electron. 53, 253 (2021)
N. Gupta, Multi Gaussian breather solitons in diffraction managed nonlinear optical media. Nonl. Opt. Quant. Opt. 55, 309 (2022)
R.Y. Chiao, E. Garmire, C.H. Townes, Self-trapping of optical beams. Phys. Rev. Lett. 13, 479 (1965)
N. Gupta, R. Johari, S.B. Bhardwaj, Generation of superthermal electrons by self-focused Cosh Gaussian laser beams in inertial confinement fusion plasma. J. Opt. (2022). https://doi.org/10.1007/s12596-022-00948-3
S. Jana, S. Konar, Induced focusing of two laser beams in cubic quintic nonlinear media. Phys. Scr. 70, 354 (2004)
N. Gupta, S. Kumar, Generation of second harmonics of relativistically self-focused \(q\)-Gaussian laser beams in underdense plasma with axial density ramp. Opt. Quant. Electron. 53, 193 (2021)
N. Gupta, S.B. Bhardwaj, Relativistic efects on electron acceleration by elliptical \(q\)-gaussian laser beam driven electron plasma wave. Opt. Quant. Electron. 53, 700 (2021)
N. Gupta, R. Johari, S.B. Bhardwaj, R. Rani, N. Patial, Self-compression of elliptical q-Gaussian laser pulse in plasmas with axial density ramp. J. Opt. 52, 175 (2023)
M. Yadav, D.N. Gupta, S.C. Sharma, Electron plasma wave excitation by a q-Gaussian laser beam and subsequent electron acceleration. Phys. Plasmas. 27, 093106 (2020)
S.D. Patil, M.V. Takale, S.T. Navare, M.B. Dongare, Cross focusing of two coaxial cosh-Gaussian laser beams in a parabolic medium. Optik 122, 1869 (2011)
B.D. Vhanmore, S.D. Patil, A.T. Valkunde, T.U. Urunkar, K.M. Gavade, M.V. Takale, D.N. Gupta, Effect of q-parameter on relativistic self-focusing of q-Gaussian laser beam in plasma. Optik 158, 574 (2018)
K.Y. Khandale, P.T. Takale, T.U. Urunkar, S.S. Patil, P.P. Nikam, M.B. Mane, V.S. Pawar, A.T. Valkunde, S.D. Patil, M.V. Takale, On the Exploration of q Parameter in Propagation Dynamics of q-Gaussian Laser Beam in Underdense Collisional Plasma. Bulgarian J. Phys. 49, 375 (2022)
A. Sharma, I. Kourakis, Spatial evolution of a \(q\)-Gaussian laser beam in relativistic plasma. Laser and Part. Beams 28, 409 (2010)
L. Wang, X. Hong, J. Sun, R. Tang, Y. Yang, W. Zhou, J. Tian, W. Duan, Effects of relativistic and channel focusing on \(q\)-Gaussian laser beam propagating in a preformed parabolic plasma channel. Phys. Lett. A 381, 2065 (2017)
S. Jana, A. Singh, K. Porsezian, T. Mithun, Self-trapped elliptical super-Gaussian beam in cubic-quintic media. Opt. Commun. 332, 311 (2014)
S. Konar, S. Jana, M. Mishra, Induced focusing and all optical switching in cubic quintic nonlinear media. Opt. Commun. 255, 114 (2005)
D. Anderson, M. Bonnedal, M. Lisak, "Nonlinear propagation of elliptically shaped Gaussian laser beams. J. Plasma Phys. 23, 115 (1980)
D. Anderson, M. Bonnedal, Variational approach to nonlinear self-focusing of Gaussian laser beams. Phys. Fluids 22, 105 (1979)
S. Feng, H.G. Winful, Physical origin of the Gouy phase shift. Opt. Lett. 26, 485 (2001)
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Gupta, N., AK, A., Johari, R. et al. Cross focusing of q-Gaussian laser beams in cubic–quintic nonlinear media and conversion of circular laser beam into elliptic laser beam. J Opt (2023). https://doi.org/10.1007/s12596-023-01260-4
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DOI: https://doi.org/10.1007/s12596-023-01260-4