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A comparative study of extraordinary and ordinary modes in the presence of external magnetic field in self-focusing of higher-order mode TEM\(_{m,n}\) of elegant Hermite–cosh-Gaussian laser beams in collisionless plasma medium

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Abstract

This work investigates the complexity involved in extraordinary (E-mode) and ordinary (O-mode) mode in the presence of external magnetic field in self-focusing of higher-order mode of elegant Hermite–cosh-Gaussian laser beams within collisionless magnetized plasma medium. Specifically, complexity in beam width parameters is highlighted through the influence of magnetic field, polarization mode, and decentred parameters. In that, transverse electromagnetic mode indices (m, n) of lasers with values (0, 4) have been explored. The ponderomotive force is primarily responsible for the dielectric constant’s nonlinearity in this context. In present study, WKB and paraxial approximations via the parabolic wave equation approach are used to establish the general form of differential equations for beam-width parameters in both transverse dimensions of the beam. At various plasma properties and those of the considered beams family, the behaviour of beam-width parameters with dimensionless distance of propagation is analysed theoretically.

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Acknowledgements

Authors are gratefully acknowledging to Dr. Babasaheb Ambedkar Research and Training Institute, Pune, (an Autonomous Institute of the Department of Social Justice and Special Assistance, Government of Maharashtra, 411001), for providing fellowship through BANRF-2018 (Outward No. BARTI/Fellowship/BANRF-2018/19-20/3036).

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Authors and Affiliations

  1. Department of Nanoscience and Technology, Shivaji University, Kolhapur, 416 004, India

    S. P. Rajmane

  2. Applied Physics Laboratory, D Y Patil College of Engineering and Technology, Kolhapur, 416006, India

    B. D. Vhanmore

  3. Department of Technology, Shivaji University, Kolhapur, 416 004, India

    S. B. Sadale

  4. Department of Physics, Devchand College Arjunnagar, Nipani, 416 216, India

    S. D. Patil

  5. Department of Physics, Shivaji University, Kolhapur, 416 004, India

    K. Y. kandale & M. V. Takale

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Correspondence to B. D. Vhanmore.

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Rajmane, S.P., Vhanmore, B.D., Sadale, S.B. et al. A comparative study of extraordinary and ordinary modes in the presence of external magnetic field in self-focusing of higher-order mode TEM\(_{m,n}\) of elegant Hermite–cosh-Gaussian laser beams in collisionless plasma medium. J Opt (2024). https://doi.org/10.1007/s12596-024-01731-2

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