Filamentation of a Hollow Gaussian Beam in a Nonlinear Optical Medium

Mir Asma, A. K. Shafeeque Ali, Abdullah Khamis Alzahrani, Malik Zaka Ullah and Stanford Shateyi ()
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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

Mathematics, 2023, vol. 11, issue 19, 1-9

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.

Keywords: filamentation; modulation instability; cubic and quintic nonlinear medium (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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