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Filamentation of a Hollow Gaussian Beam in a Nonlinear Optical Medium

Author

Listed:
  • Mir Asma

    (Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50601, Malaysia)

  • A. K. Shafeeque Ali

    (Department of Physics, Government College Malappuram, Malappuram 676509, Kerala, India)

  • Abdullah Khamis Alzahrani

    (Mathematical Modelling and Applied Computation (MMAC) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Malik Zaka Ullah

    (Mathematical Modelling and Applied Computation (MMAC) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Stanford Shateyi

    (Department of Mathematics and Applied Mathematics, School of Mathematical and Natural Sciences, University of Venda, P. Bag X5050, Thohoyandou 0950, South Africa)

Abstract

This paper reports the filamentation of hollow Gaussian beams of the first, second, third, and fourth orders during propagation in a cubic and quintic nonlinear medium. Due to spatial modulation instability, the hollow Gaussian beams split to form either co-centric circular filaments or ultrashort pulses. It is found that the properties of the nonlinear medium used for propagation have a strong influence on certain characteristics of the formed filaments, such as peak intensity and pulse width. This correlation between the system parameters of the medium and filament characteristics represents a method for calculating the system parameters of the medium. This investigation can be helpful in the development of a hollow Gaussian beam-based artificial intelligence system that can be used to measure the system parameters of the studied nonlinear medium.

Suggested Citation

  • Mir Asma & A. K. Shafeeque Ali & Abdullah Khamis Alzahrani & Malik Zaka Ullah & Stanford Shateyi, 2023. "Filamentation of a Hollow Gaussian Beam in a Nonlinear Optical Medium," Mathematics, MDPI, vol. 11(19), pages 1-9, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4130-:d:1251139
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